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In [[statistics]], the '''mean integrated squared error (MISE)''' is used in [[density esti ...ty, ''ƒ''_''n'' is its estimate based on a [[sample (statistics)|sample]] of ''n'' [[independent and identically distributed]] random variables. ...

...he probability of a particular unit <math>i</math> to be selected into the sample is where <math>n</math> is the sample size and <math>N</math> is the population size.<ref>{{cite book |first1=Adr ...

...series form [[order statistics]], which form the basis for [[Nonparametric statistics|nonparametric statistical methods]]. ...-X_{(1)}</math>,<ref name="shalyt" /> and the [[Median#Medians for samples|sample median]] by <math>X_{(m+1)}</math> when <math>n=2m+1</math> is odd and <mat ...

...th>k_{r,s}</math>) is a statistic defined as a [[linear combination]] of [[sample moment]]s.<ref>{{cite web|url=http://mathworld.wolfram.com/Polykay.html|tit {{Statistics-stub}} ...

...an estimation procedure, and it would often be used in conjunction with a sample version of the [[mean square error]]. ...become available. Then <math>\theta_i</math> would be the ''i''-th out-of-sample value of the dependent variable, and <math>\hat{\theta}_i</math> would be i ...

{{short description|Greatest and least values in a statistical data sample}} ...ot.svg|thumb|[[Box plot]]s of the [[Michelson–Morley experiment]], showing sample maxima and minima]] ...

....|last2=Ridder|first2=A.|title=Variance Reduction|journal= Wiley StatsRef: Statistics Reference Online|date=2017|pages=1–6|doi=10.1002/9781118445112.stat07975|is ...o be taken to generate ''N'' paths, and it reduces the [[variance]] of the sample paths, improving the precision. ...

...ers of a random sample according to corresponding values of another random sample. ...bsp;.,&nbsp;''n'' be a random sample from a bivariate distribution. If the sample is ordered by the ''X''_''i'', then the ''Y''-variate associated ...

...may produce a similar OC curve to attribute plans with significantly less sample size. where <math>\bar{X}</math> and <math>\sigma</math> are the [[sample mean]] and the [[standard deviation]] respectively, <math>k</math> is the [ ...

...date=2013-09-23 |last1=Forkman |first1=Johannes |journal=Communications in Statistics - Theory and Methods |volume=38 |pages=21–26 | doi=10.1080/0361092080218744 ...eviation]], respectively. Then <math> \hat{c}_v = s/\bar{x} </math> is the sample coefficient of variation. McKay's approximation is ...

{{Short description|Nonparametric test in statistics}} ...[[rank test (disambiguation)|rank test]]s have been proposed for the [[two-sample location-scale problem]]. Nearly all of them are [[Lepage test|Lepage-type ...

In [[statistics]], '''Hoeffding's test of independence''', named after [[Wassily Hoeffding] .../www.jstor.org/stable/pdf/2237758.pdf|journal=[[The Annals of Mathematical Statistics]]|year=1961 |volume=32|pages=485–498|number=2|doi=10.1214/aoms/1177705055 | ...

...independence|independent]]) chance <math>p_i</math> to be selected to the sample when performing one draw. This <math>p_i</math> is proportional to some kno ...hris J. "Probability proportional to size (PPS) sampling." Wiley StatsRef: Statistics Reference Online (2014): 1-5. ([https://onlinelibrary.wiley.com/doi/abs/10. ...

...Physical Character | title=On the mathematical foundations of theoretical statistics | volume=222 | year=1922 | pages=309–368 | url=http://digital.library.adel ...on an unknown [[parameter]] ''θ''. If an estimator of ''θ'' based on the sample can be represented as a [[functional (mathematics)|functional]] of the [[em ...

...rval]]s are based on exact probability statements that are valid for any [[sample size]]. When the sample size is small, asymptotic results given by some traditional methods may not ...

...ndividuals in a population. It is used to compare overlap among [[Sample (statistics)|samples]] (Morisita 1959). This formula is based on the assumption that i ...e number of times species ''i'' is represented in the total ''X'' from one sample. ...

{{Short description|Average of squared values of a sample}} ...lso be defined as the arithmetic mean of the squares of the ''[[deviation (statistics)|deviations]]'' between a set of numbers and a reference value (e.g., may b ...

...used) of a sample from the separating [[hyperplane]] is the margin of that sample. ...ed by the boosting algorithm. At iteration <math>t</math>, the margin of a sample <math>x</math> can thus be defined as ...

...ok |last=Rice |first=John A. |author-link= |date=1995 |title= Mathematical Statistics and Data Analysis |edition= 2nd |url= |location= |publisher=Duxbury Press | ...rectional statistics.<ref name="SRJ">{{cite book |title=Topics in circular statistics |last=Jammalamadaka |first=S. Rao |author2=SenGupta, A.|year=2001 |publishe ...

...imize the variance of the estimated population parameter for a fixed total sample size and cost. ...dent samples are drawn from each stratum. Neyman allocation determines the sample size ''n_h'' for each stratum ''h'' that minimizes the variance o ...