Student's t-distribution | student's t-distribution
StudentstProbabilitydensityfunctionCumulativedistributionfunctionParametersν>0degreesoffreedom(real)Supportx∈(−∞;+∞)Probabilitydensityfunction(pdf)Γ(ν+12)νπΓ(ν2)(1+x2ν)−ν+12{displaystyleextstyle{frac{Gammaleft({frac{u+1}{2}}ight)}{{sqrt{upi}},Gammaleft({frac{u}{2}}ight)}}left(1+{frac{x{2}}{u}}ight){-{frac{u+1}{2}}}!}Cumulativedistributionfunction(cdf)12+xΓ(ν+12)×2F1(12,ν+12;32;−x2ν)πνΓ(ν2){displaystyle{egin{matrix}{frac{1}{2}}+xGammaleft({frac{u+1}{2}}ight)imes\[0.5em]{frac{,_{2}F_{1}lef...
Students t Probability density function Cumulative distribution function Parameters ν > 0 degrees of freedom (real) Support x ∈ (−∞; +∞) Probability density function (pdf) Γ(ν+12)νπΓ(ν2)(1+x2ν)−ν+12{displaystyle extstyle {frac {Gamma left({frac { u +1}{2}} ight)}{{sqrt { u pi }},Gamma left({frac { u }{2}} ight)}}left(1+{frac {x{2}}{ u }} ight){-{frac { u +1}{2}}}!} Cumulative distribution function (cdf) 12+xΓ(ν+12)×2F1(12,ν+12;32;−x2ν)πνΓ(ν2){displaystyle {egin{matrix}{frac {1}{2}}+xGamma left({frac { u +1}{2}} ight) imes \[0.5em]{frac {,_{2}F_{1}left({frac {1}{2}},{frac { u +1}{2}};{frac {3}{2}};-{frac {x{2}}{ u }} ight)}{{sqrt {pi u }},Gamma left({frac { u }{2}} ight)}}end{matrix}}}where 2F1 is the hypergeometric function Mean 0 for ν > 1, otherwise undefined Median 0 Mode 0 Variance νν−2{displaystyle extstyle {frac { u }{ u -2}}} for ν > 2, ∞ for 1 < ν ≤ 2, otherwise undefined Skewness 0 for ν > ...取得本站獨家住宿推薦 15%OFF 訂房優惠
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T-Distribution Student's T
The T distribution (also called Student's T Distribution) is a family of distributions that look almost identical to the normal distribution curve, only a bit shorter and ...
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學生t分佈 | student's t-distribution
在機率論和統計學中,學生t-分布(Student's t-distribution)可簡稱為t分布,用於根據小樣本來估計呈常態分布且變異數未知的總體的平均值。如果總體變異數已知(例如 ... Read More
Student's t | student's t-distribution
In probability and statistics, Student's t-distribution (or simply the t-distribution) is any member of a family of continuous probability distributions that arises when estimating the mean of a normally distributed population in situations where the Read More
Student's t-Distribution | student's t-distribution
Student's t -distribution is defined as the distribution of the random variable t which is ... -distribution can be derived by transforming Student's z-distribution using ... Read More
t 分布 | student's t-distribution
為了解決這樣的問題於是誕生了T分布,其英文名稱是Student's T distribution。統計上的分布通常以發現人的名字來命名或用淺顯易懂的字眼來命名,如果按照此 ... Read More
Student's t-distribution | student's t-distribution
Student's t-distribution is a probability distribution which was developed by William Sealy Gosset in 1908. Student is the pseudonym he used when he published ... Read More
Student's t Distribution | student's t-distribution
The t distribution (aka, Student's t-distribution) is a probability distribution that is used to estimate population parameters when the sample size is small and/or when the population variance is unknown. Read More
Student's t | student's t-distribution
The Student's t-distribution describes the deviation of a sample mean from the true mean when the samples are generated by a normally distributed process. Read More
T Distribution Definition | student's t-distribution
The T distribution, also known as the Student's t-distribution, is a type of probability distribution that is similar to the normal distribution with its ... Read More
司徒頓t分布 | student's t-distribution
司徒顿t分布(Student's t-distribution),簡稱t 分布,在機率論及统计学中用于根据小样本來估計母體呈常態分布且標準差未知的期望值。若母體標準差已知,或是样本数 ... Read More
司徒頓t分布 | student's t-distribution
司徒頓t分佈(Student's t-distribution),簡稱t 分佈,在機率論及統計學中用於根據小樣本來估計總體呈正態分佈且標準差未知的期望值。若總體標準差已知,或是樣本數 ... Read More
What Is T | student's t-distribution
The t-distribution, also known as the Student's t-distribution, is a type of probability distribution that is similar to the normal distribution with its ... Read More
Student's t distribution | Properties, proofs | student's t-distribution
The Student's t distribution is a continuous probability distribution that is often encountered in statistics (e.g., in hypothesis tests about the mean). Read More
Student's t | student's t-distribution
Department of Statistics and Actuarial Science University of Iowa. This applet computes probabilities and percentiles for the t-distribution: X∼t(ν) ... Read More
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