About the statistical concept In statistics , mean has two related meanings the arithmetic mean and is distinguished from the geometric mean or harmonic mean . the expected value of a random variable , which is also called the population mean . There are other statistical measures that use samples that some ... deviation . For a real valued random variable X , the mean is the expectation operator expectation of X . Note that not every probability distribution has a defined mean or variance see the Cauchy distribution for an example. For a data set , the mean is the sum of the values divided by the number of values. The mean of a set of numbers x sub 1 sub , x sub 2 sub , ..., x sub n sub is typically denoted by math bar x math , pronounced x bar . This mean is a type of arithmetic mean. If the data ... population , this mean is termed the sample mean to distinguish it from the population mean . The mean is often quoted along with the standard deviation the mean describes the central location of the data, and the standard deviation describes the spread. An alternative measure of dispersion is the mean deviation, equivalent to the average absolute deviation from the mean. It is less sensitive to outliers ... population or probability distribution can be used to construct a population mean , which ... population, this would simply be the arithmetic mean of the given property for every member ... mean by the symbol math mu math . ref Underhill, L.G. Bradfield d. 1998 Introstat , Juta ...&f false p. 181 ref In the case of a discrete probability distribution , the mean of a discrete ... PP1&pg PA279 v onepage&q&f false p. 279 ref The sample mean may differ from the population mean, especially ..., the more likely it is that the sample mean will be close to the population mean. ref Schaum s Outline ... mean AM Main Arithmetic mean The arithmetic mean is the standard average, often simply called the mean . math bar x frac 1 n cdot sum i 1 n x i math The mean may often be confused with the median , Mode ... more details
wiktionary meanMean is a term used in math and statistics. The word wikt meanmean has several uses. Mean may refer to Mean song Mean song , a 2010 country song by Taylor Swift from Speak Now Mean, an archaic male choral vocal range approximating mezzo soprano Ethic mean , a sociology term See also Means disambiguation disambig ... more details
Mr. Mean may refer to Mr. Mean album Mr. Mean album , a 1977 album by The Ohio Players Mr. Mean Mr. Men Mr. Mean Mr. Men , a character and book from the Mr. Men book series disambiguation ... more details
Mean Machine may refer to Music Mean Machine Lucifer s Friend album Mean Machine Lucifer s Friend album Mean Machine U.D.O. album Mean Machine U.D.O. album Mean Machine band , a Japanese rock band The Mean Machine rap group Mean Machine, a song by Mot rhead on the album Orgasmatron album Orgasmatron Mean Machine, a song by Sugar Ray on the album Lemonade and Brownies Sport Mean Machine Sailing Team Roy Shaw , British boxer Mean Machine RFC , a rugby club in the Kenya Rugby Football Union Football teams in the 1974 film The Longest Yard 1974 film The Longest Yard and The Longest Yard 2005 film its 2005 remake A 1982 Commonwealth Games relay team including Graeme Brewer , Neil Brooks , Greg Fasala , and Michael Delany Other uses Mean Machine film Mean Machine film Mean Machine Angel , a character in the Judge Dredd universe Mean Machine, a List of Hi Hi Puffy AmiYumi episodes Hi Hi Puffy AmiYumi episode The Mean Machine, Dick Dastardly s car in the TV series Wacky Races Mean Machine TATTOO Custom Tattooing Sion Switzerland disambig ... more details
Mean to Me can refer to Mean to Me song Mean to Me , a 1929 song with music by Fred E. Ahlert and lyrics by Roy Turk . Mean to Me Crowded House song Mean to Me , a 1986 song by Crowded House . Mean to Me , a 1999 song from the Sugar Tonic album Sugar album by Tonic band Tonic . disambig ... more details
The Mean Reds can mean any one of these things The rock band, The Mean Reds band The Mean Reds . In the novella Breakfast at Tiffany s novella Breakfast at Tiffany s by Truman Capote , Holly Golightly called her bouts of angst anxiety the mean reds. In the film, she described the mean reds as a feeling of being afraid, yet not knowing what you are afraid of. blockquote Holly Golightly You know those days when you get the mean reds? br Paul Varjak The mean reds. You mean like the blues? br Holly Golightly No. The blues are because you re getting fat, and maybe it s been raining too long. You re just sad, that s all. The mean reds are horrible. Suddenly you re afraid, and you don t know what you re afraid of. Do you ever get that feeling? blockquote disambig ... more details
Wiktionary Golden mean may refer to Doctrine of the Golden Mean Chinese pinyin Zh ng Y ng , a chapter in Li Ji , one of the Four Books of Confucianism Golden mean philosophy , the felicitous middle between the extremes of excess and deficiency Golden ratio , a specific mathematical ratio sometimes called golden mean The Golden Mean novel , the third novel in Nick Bantock s series, The Griffin and Sabine Trilogy . See also Ethic of reciprocity , also known as the Golden Rule disambig pl Z oty rodek ... more details
In mathematics, a contraharmonic mean is a function complementary to the harmonic mean . The contraharmonic mean is a special case of the Lehmer mean . Definition The contraharmonic mean of a set of positive numbers is defined as the arithmetic mean of the squares of the numbers divided by the arithmetic mean of the numbers math C x 1, x 2, dots , x n left x 1 2 x 2 2 cdots x n 2 over n right over ... properties of a mean math C x 1, x 2, dots , x n in min x 1, x 2, dots , x n , max x 1, x ... . For two variables, a and b , taken as math 0 a le b , math it is easier to see why this mean is complementary to the harmonic mean . Then the contraharmonic mean C a , b is also that mean that is as high above the arithmetic mean as the arithmetic mean is above the harmonic mean C a , b A a , b ... mean and harmonic mean of two variables we have math A a,b a b over 2 text and math math H a,b 1 over ... and contraharmonic means is exactly equal to the arithmetic mean A H a , b , C a , ... mean is very sensitive to low values. On the other hand, the contraharmonic mean is sensitive to larger ... b . The contraharmonic mean is higher in value than the average and also higher than the root mean square math min a,b H a,b G a,b L a,b A a,b R a,b C a,b max a,b text for 0 a b math where H is the harmonic mean, G is geometric mean , L is the logarithmic mean , A is the arithmetic mean, R is the root mean square and C is the contraharmonic mean. If a could be equal to b then the above math .... First, the geometric mean of the arithmetic and harmonic means is equal to the geometric mean ... over a b sqrt ab G a,b math The second relationship is that the geometric mean of the arithmetic and contraharmonic means is the root mean square math G A a,b , C a,b G left a b over 2 , a 2 b 2 over ... mean of two variables can be constructed geometrically using a trapezoid see http jwilson.coe.uga.edu ... are constructed. br Basically, the Contraharmonic mean is the rest of the diagonal on which the Harmonic ... more details
In mathematics , a function f of n variables x sub 1 sub , ..., x sub n sub leads to a Chisini mean M if for every vector < x sub 1 sub ... x sub n sub > , there exists a unique M such that f M , M , ..., M f x sub 1 sub , x sub 2 sub , ..., x sub n sub . The arithmetic mean arithmetic , harmonic mean harmonic , geometric mean geometric , generalised mean generalised , Heronian mean Heronian and quadratic mean quadratic means are all Chisini means, as are their weighted variants. References They were introduced by Oscar Chisini , in the paper Chisini, O. Sul concetto di media. Periodico di Matematiche 4, 106&ndash 116, 1929. Category Mathematical analysis Category Means it Media Chisini pl rednia Chisinego ... more details
Unreferenced stub auto yes date December 2009 In astrodynamics or celestial dynamics , mean longitude is the longitude at which an orbiting body could be found if its orbit were circular orbit circular , and free of perturbation astronomy perturbations , and if its inclination were zero. Both the mean longitude and the true longitude of the body in such an orbit would change at a constant rate over time. But if the orbit is eccentric and departs from circularity and let it still be supposed free from any perturbations , then the orbit would become a Keplerian orbit Keplerian ellipse , and then the progress of the orbiting body in true longitude along this orbit would no longer change at a constant rate over time. The mean longitude then becomes an abstracted quantity, still proportional to the time ... the mean longitude and the true longitude is usually called the equation of the center . In such an elliptical orbit, the only times when the mean longitude is equal to the true longitude are the times ... of osculating elements, a mean longitude can be defined, as in the unperturbed case. But here, the changes in mean longitude over time will not only be those due to some constant rate over time there will also be superimposed perturbations and the rate itself is also perturbed . A set of mean elements .... The term mean longitude was already used for the unperturbed and osculating cases, and the corresponding mean longitude member in a set of mean elements, after abstraction of the periodic variations, is sometimes therefore called the meanmean longitude . To arrive at a true longitude from a meanmean longitude, the perturbational terms must be applied as well as the equation of the center. Calculation The mean longitude math L , math can be calculated as follows math L M bar omega M Omega omega , math where math M , math is orbit s mean anomaly , math bar omega , math is longitude of the periapsis ... omega , math is the argument of periapsis . Orbits DEFAULTSORT Mean Longitude Category Astrodynamics ... more details
Unreferenced date January 2010 Context date October 2010 The Fr chet mean named after Maurice Fr chet , is the point, x , that minimizes the Fr chet function, in cases where such a unique minimizer exists. The value at a point p , of the Fr chet function associated to a random point X on a complete metric space M , d is the expected squared distance from p to X . In particular, the Fr chet mean of a set of discrete random points x sub i sub is the minimizer m of the weighted sum of squared distances ... mean is sometimes used instead of Fr chet mean , where this refers to Hermann Karcher. Citation needed date October 2010 Examples of Fr chet Means Arithmetic mean For real numbers, the arithmetic mean is a Fr chet mean, using as distance function the usual Euclidean distance. Citation needed date October 2010 Geometric mean On the positive real numbers, the hyperbolic distance function math d x,y log x log y math can be defined. The geometric mean is the corresponding Fr chet mean.Indeed math ... respect the Fr chet mean the Fr chet mean of the math x i math is the image by math f math of the Fr chet mean in the euclidean sense of the math f 1 x i math , i.e. it must be math f frac 1 n sum i 1 n f 1 x i exp frac 1 n sum i 1 n log x i sqrt n x 1 cdots x n math . Harmonic mean On the positive .... The harmonic mean is the corresponding Fr chet mean. Citation needed date October 2010 Power means Given a non zero real number math m math , the power mean can be obtained as a Fr chet mean by introducing the metric Citation needed date October 2010 math d m x,y x m y m math . f mean Given an invertible function math f math , the f mean can be defined as the Fr chet mean obtained by using ... f mean or Quasi arithmetic mean . Weighted means The general definition of the Fr chet mean that includes the possibility of weighting observations can be used to derive weighted versions for all of the above types of means. Notes Reflist DEFAULTSORT Frechet Mean Category Means Math stub ... more details
Unreferenced stub auto yes date December 2009 Mean motion , math n , math , is a measure of how fast a satellite progresses around its elliptical orbit . Unless the orbit is Circular orbit circular , the mean motion is only an average value, and does not represent the instantaneous angular rate. In the databases of satellite orbital parameters the mean motion is typically specified in revolutions per day . Calculation math n sqrt frac G M m a 3 , math where math G math is the gravitational constant , math M math and math m math are the masses of the orbiting bodies, math a math is semi major axis . Related Formulae math n frac 2 pi P frac 360 P math Mean motion can also be expressed in radians or radians, respectively, per unit of time where P is the Orbital Period . Or, math n frac M 1 M 0 t math Where M sub 1 sub and M sub 0 sub are the Mean Anomalies at particular points in time, and t is the time elapsed between the two. M sub 0 sub also frequently denotes the Mean Anomaly at Epoch and t the time since epoch. See also Kepler orbit Mean anomaly DEFAULTSORT Mean Motion Category Celestial mechanics Astronomy stub de Mittlere Bewegung fi Keskiliike ... more details
In mathematics, the Heronian mean H of two non negative real number s A and B is given by the formula math H frac 1 3 left A sqrt A B B right . math It is named after Hero of Alexandria , and used in finding the volume of a frustum of a pyramid or cone geometry cone . The volume is equal to the product of the height of the frustum and the Heronian mean of the areas of the opposing parallel faces. The Heronian mean of the numbers A and B is a weighted mean of their arithmetic mean arithmetic and geometric mean s math H frac 2 3 cdot frac A B 2 frac 1 3 cdot sqrt A B . math References Citation last1 Bullen first1 P.S. title Handbook of Means and Their Inequalities publisher Springer Science Business Media location Berlin, New York edition 2nd series Mathematics and Its Applications isbn 978 1 4020 1522 9 year 2003 Citation last1 Eves first1 Howard Whitley author1 link Howard Eves title Great Moments in Mathematics Before 1650 publisher Mathematical Association of America isbn 978 0 88385 310 8 year 1980 External links http jwilson.coe.uga.edu EMT668 EMAT6680.2000 Umberger EMAT6690smu Essay3smu Essay3smu.html Mean Trapezoids Geometric comparison of some mathematical means DEFAULTSORT Heronian Mean Category Means geometry stub es Media heroniana eu Batezbesteko herondar ko km ... more details
Refimprove date January 2010 The identric mean of two positive real number s x , y is defined as math begin align I x,y & frac 1 e cdot lim xi, eta to x,y sqrt xi eta frac xi xi eta eta 8pt & lim xi, eta to x,y exp left frac xi cdot ln xi eta cdot ln eta xi eta 1 right 8pt & begin cases x & text if x y 8pt frac 1 e sqrt x y frac x x y y & text else end cases end align math It can be derived from the mean value theorem by considering the secant of the graph of the function math x mapsto x cdot ln x math . It can be generalized to more variables according by the mean value theorem for divided differences . The identric mean is a special case of the Stolarsky mean . See also Mean References MathWorld title Identric Mean urlname IdentricMean DEFAULTSORT Identric Mean Category Means km ... more details
The grand mean is the mean of the means of several subsamples. ref Everitt,2002 ref For example, consider several lots, each containing several items. The items from each lot are sampling statistics sampled for a measure of some variable and the means of the measurements from each lot are computed. The mean of the measures from each lot constitute the subsample mean. The mean of these subsample means is then the grand mean. Example Bob is interested in determining which American states have the tallest people. To do so Bob measures the height of a suitably sized sample of individuals in each state, separating individuals into groups by gender. Next Bob calculates the respective means for each state, and finally the grand mean for each gender with the corresponding standard deviation . Now Bob has the necessary information for a preliminary determination of which states have abnormally tall or short individuals by comparing the means of each state to the grand mean the standard deviation. Notes references References Everitt, B.S. 2002 Cambridge Dictionary of Statistics 2nd Edition , CUP. ISBN 052181099x Category Statistical terminology Category Data analysis es Gran media ... more details
Refimprove date July 2010 A truncated mean or trimmed mean is a Statistics statistical Average measure of central tendency , much like the mean and median . It involves the calculation of the mean after ... mean , but this name should not be confused with the Winsorized mean in the latter, the observations that the trimmed mean would discard are instead replaced by the largest smallest of the remaining values. Notation The index of the mean is an indication of the percentage of the entries removed on both ... the first and the last entry in the sample when calculating the truncated mean. Interpolation When a trimmed mean for a sample must be determined, but it cannot be accurately done, the best is to calculate ... the 15 trimmed mean of a sample containing 10 entries, you would calculate the 10 trimmed mean removing 1 entry on either side of the sample , the 20 trimmed mean removing 2 entries on either side , and interpolating to determine the 15 trimmed mean. Advantages The truncated mean is a useful estimator because it is less sensitive to outlier s than the mean but will still give a reasonable estimate of central tendency or mean for many statistical models. In this regard it is referred ... mean is when estimating the location parameter of a Cauchy distribution , a bell shaped probability ... mean of the middle 24 sample order statistics i.e., truncate the sample by 38 produces an estimate ... or the full sample mean. ref name rothenberg cite journal last1 Rothenberg first1 Thomas J. last2 Fisher ..., neither the truncated mean, full sample mean or sample median represents a maximum likelihood estimator ... likelihood estimate is difficult to compute, leaving the truncated mean as a useful alternative. ref ... pss 2286549 ref Drawbacks The truncated mean uses more information from the distribution or sample than the median , so unless the underlying distribution is Symmetry symmetric , the truncated mean of a sample is unlikely to produce an Bias of an estimator unbiased estimator for either the mean ... more details
Mean reversion may refer to See Regression toward the mean Ornstein&ndash Uhlenbeck process Mean reversion finance disambig Short pages monitor This long comment was added to the page to prevent it being listed on Special Shortpages. It and the accompanying monitoring template were generated via Template Longcomment. Please do not remove the monitor template without removing the comment as well. ... more details
Refimprove date September 2009 A Winsorized mean is a Winsorising Winsorized statistical measure of central tendency , much like the mean and median , and even more similar to the truncated mean . It involves the calculation of the mean after replacing given parts of a probability distribution or Sampling statistics sample at the high and low end with the most extreme remaining values, typically discarding an equal amount of both often 10 to 25 percent of the ends are replaced. Advantages The Winsorized mean is a useful estimator because it is less sensitive to outlier s than the mean but will still give a reasonable estimate of central tendency or mean for almost all statistical models. In this regard it is referred to as a robust estimator . Drawbacks The Winsorized mean uses more information from the distribution or sample than the median . However, unless the underlying distribution is symmetric , the truncated mean of a sample is unlikely to produce an unbiased estimator for either the mean or the median. Example For a sample of 10 numbers from x sub 1 sub , the smallest, to x sub 10 sub the largest the 10 Winsorized mean is math frac overbrace x 2 x 2 x 3 x 4 x 5 x 6 x 7 x 8 overbrace x 9 x 9 10 . , math The key is in the repetition of x sub 2 sub and x sub 9 sub the extras substitute for the original values x sub 1 sub and x sub 10 sub which have been discarded and replaced. Notes references References citation first1 R.R. last1 Wilcox first2 H.J. last2 Keselman title Modern robust data analysis methods Measures of central tendency year 2003 journal Psychological Methods volume 8 pages 254 274 pmid 14596490 issue 3 doi 10.1037 1082 989X.8.3.254 Category Means Category Robust statistics eu Winsortarturiko batezbesteko nl Winsorgemiddelde pl rednia winsorowska ... more details
The geometric mean , in mathematics , is a type of mean or average , which indicates the central tendency or typical value of a set of numbers. It is similar to the arithmetic mean , which is what most ... is taken. For instance, the geometric mean of two numbers, say 2 and 8, is just the square root of their product that is math radic 2 × 8 2 4 . As another example, the geometric mean of the three ... 1 × 1 32 3 . The geometric mean can also be understood in terms of geometry . The geometric mean of two numbers, a and b , is the length of one side of a square geometry square whose area is equal to the area of a rectangle with sides of lengths a and b . Similarly, the geometric mean of three ... cuboid with sides whose lengths are equal to the three given numbers. The geometric mean only applies to positive numbers. ref The geometric mean only applies to positive numbers in order to avoid ... is unambiguous if one allows 0 which yields a geometric mean of 0 , but may be excluded, as one ... mean is also one of the three classic Pythagorean means , together with the aforementioned arithmetic mean and the harmonic mean . For all positive data sets containing at least one pair of unequal values, the harmonic mean is always the least of the three means, while the arithmetic mean is always the greatest of the three and the geometric mean is always in between see Inequality of arithmetic and geometric means . Calculation The geometric mean of a data set math a 1,a 2 , ldots,a n math is given by math bigg prod i 1 n a i bigg 1 n sqrt n a 1 a 2 cdots a n . math The geometric mean of a data ... mean the two means are equal if and only if all members of the data set are equal . This allows the definition of the arithmetic geometric mean , a mixture of the two which always lies in between. The geometric mean is also the arithmetic harmonic mean in the sense that if two sequence s a sub ... mean of x and y . This can be seen easily from the fact that the sequences do converge to a common ... more details
In mathematics , the harmonic mean sometimes called the subcontrary mean is one of several kinds of average .... The harmonic mean H of the positive real number s x sub 1 sub , x sub 2 sub , ..., ... the third formula in the above equation it is more apparent that the harmonic mean is related to the arithmetic and geometric means. Equivalently, the harmonic mean is the Multiplicative inverse reciprocal of the arithmetic mean of the reciprocals. As a simple example, the harmonic mean of 1, 2 ... of two numbers only . Harmonic mean denoted by H in purple color. The harmonic mean is one of the three ... , the harmonic mean is always the least of the three means, while the arithmetic mean is always the greatest of the three and the geometric mean is always in between. If all values in a nonempty dataset ... mean . Since the harmonic mean of a list of numbers tends strongly toward the least elements of the list, it tends compared to the arithmetic mean to mitigate the impact of large outliers and aggravate the impact of small ones. The arithmetic mean is often mistakenly used in places calling for the harmonic mean. ref Statistical Analysis , Ya lun Chou, Holt International, 1969, ISBN 0030730953 ref In the speed example Examples below for instance the arithmetic mean 50 is incorrect, and too big. The harmonic mean is related to the other Pythagorean means, as seen in the third formula in the above equation. This is noticed if we interpret the denominator to be the arithmetic mean of the product ... on. The numerator, excluding the n , which goes with the arithmetic mean, is the geometric mean to the power n . Thus the n th harmonic mean is related to the n th geometric and arithmetic means. If a set of non identical numbers is subjected to a mean preserving spread that is, two or more elements of the set are spread apart from each other while leaving the arithmetic mean unchanged then the harmonic mean always decreases. ref Mitchell, Douglas W., More on spreads and non arithmetic ... more details
Other uses Infobox roller coaster name Mean Streak image Mean Streak Cedar Point.JPG caption Mean Streak location Cedar Point type Wood status Operating opened May 11, 1991 manufacturer Dinn Corporation model designer Curtis Summers Curtis D. Summers track Twister lift Lift hill Chain lift cost 7,500,000 USD capacity 1,600 length 5427 height 161 drop 155 inversions 0 speed 65 duration 2 45 angle 52 acceleration gforce restriction 48 rcdb number 16 coordinates coord 41 29 10.50 N 82 41 35.75 W type landmark region US OH display title,inline Mean Streak is a Wooden roller coaster wooden roller coaster located at Cedar Point in Sandusky, Ohio , United States . It is a wooden roller coaster and was the tallest and fastest one of its kind when it debuted in 1991. It was constructed using 1.7 million ... roller coasters at one park 17 , Mean Streak is one of two wooden roller coasters there the other ... hybrids. ref cite web title Mean Streak at Cedar Point url http www.cedarpoint.com public park rides coasters mean streak index.cfm accessdate 2006 08 13 ref The track is re tracked almost every year and has its own carpentry staff. ref cite web title Mean Streak Cedar Point Experience the Point ... 2 minutes and 45 seconds, the Mean Streak is the longest ride of any roller coaster in the park. The ride After ascending the 161 foot tall lift hill , Mean Streak drops riders at a 52 degree angle and over ... brake run. Mean Streak criss crosses its wooden structure nine times at speeds up to convert 65 mi ... ride. Trivia Mean Streak is one of the last two coasters to be built by Dinn Corporation . The other is the now defunct Psyclone at Six Flags Magic Mountain . Ride images gallery Image Mean Streak Cedar Point 01.JPG Image Mean Streak Cedar Point 02.JPG gallery External links http www.cedarpoint.com public park rides coasters mean streak index.cfm Mean Streak Official Page References Reflist ... Cedar Point ride stub de Mean Streak fr Mean Streak Cedar Point ... more details
More footnotes date May 2010 In mathematics and statistics , the arithmetic mean , often referred to as simply the mean or average when the context is clear, is a method to derive the central tendency of a sample space . The term arithmetic mean is preferred in mathematics and statistics because it helps distinguish it from other average mean s such as the geometric mean geometric and harmonic mean . In addition to mathematics and statistics, the arithmetic mean is used frequently in fields such as economics ... s population. While the arithmetic mean is often used to report central tendency central tendencies ... distribution s, the arithmetic mean may not accord with one s notion of middle , and robust statistics ... have sample space math a 1, ldots,a n math . Then the arithmetic mean math A math is defined via the equation math A frac 1 n sum i 1 n a i math . If the list is a statistical population , then the mean of that population is called a population mean . If the list is a sampling statistics statistical sample , we call the resulting statistic a sample mean . Motivating properties The arithmetic mean ... If numbers math x 1, ldots,x n math have mean X, then math x 1 X ldots x n X 0 math . Since math x i X math is the distance from a given number to the mean, one way to interpret this property is as saying that the numbers to the left of the mean are balanced by the numbers to the right of the mean. The mean is the only single number for which the residuals defined this way sum to zero. If it is required ... , then the arithmetic mean does this best, in the sense of minimizing the sum of squares x sub i sub &minus X sup 2 sup of the errors and residuals in statistics residuals . It follows that the mean is also the best single predictor in the sense of having the lowest root mean squared error . For a normal distribution , the arithmetic mean is equal to both the median and the mode, other measures of central tendency. Problems The arithmetic mean may be misinterpreted as the median to imply ... more details
In fluid dynamics , the fluid flow is often decomposed into a mean flow and deviation statistics deviation s from the mean . The averaging can be done either in space or in time. In the atmospheric sciences , the mean flow is taken to be the purely zonal flow of the atmosphere which is driven by the temperature contrast between equator and the poles. References Citation title Wave interactions and fluid flows first Alex D. D. last Craik publisher Cambridge University Press year 1988 isbn 0521368294 Citation title A first course in turbulence first1 Hendrik last1 Tennekes first2 John L. last2 Lumley publisher MIT Press year 1972 isbn 0262200198 fluiddynamics stub Category Fluid dynamics ... more details
Cleanup date October 2009 In probability theory , a random variable Y is said to be mean independent of random variable X if an only if E Y X E Y for all x such that sub 1 sub x is not equal to zero. Y is said to be mean dependent if E Y X y for some x such that sub 1 sub x is not equal to zero. independence probability theory Stochastic independence implies mean independence, but the converse is not necessarily true. Category Probability theory Probability stub ... more details
Encyclopedia
top
