學生t分佈 | t distribution
學生t-分布機率密度函數累積分布函數參數ν>0{displaystyleu>0!}自由度支撐集x∈(−∞;+∞){displaystylexin(-infty;+infty)!}機率密度函數Γ((ν+1)/2)νπΓ(ν/2)(1+x2/ν)(ν+1)/2{displaystyle{frac{Gamma((u+1)/2)}{{sqrt{upi}},Gamma(u/2),(1+x{2}/u){(u+1)/2}}}!}累積分布函數12+xΓ((ν+1)/2)2F1(12,(ν+1)/2;32;−x2ν)πνΓ(ν/2){displaystyle{frac{1}{2}}+{frac{xGammaleft((u+1)/2ight),_{2}F_{1}left({frac{1}{2}},(u+1)/2;{frac{3}{2}};-{frac{x{2}}{u}}ight)}{{sqrt{piu}},Gamma(u/2)}}}其中:2F1{displaystyle,_{2}F_{1}}是超幾何...
學生t-分布機率密度函數
累積分布函數
參數 ν>0{displaystyle u >0!}自由度支撐集 x∈(−∞;+∞){displaystyle xin (-infty ;+infty )!}機率密度函數 Γ((ν+1)/2)νπΓ(ν/2)(1+x2/ν)(ν+1)/2{displaystyle {frac {Gamma (( u +1)/2)}{{sqrt { u pi }},Gamma ( u /2),(1+x{2}/ u ){( u +1)/2}}}!}累積分布函數 12+xΓ((ν+1)/2)2F1(12,(ν+1)/2;32;−x2ν)πνΓ(ν/2){displaystyle {frac {1}{2}}+{frac {xGamma left(( u +1)/2 ight),_{2}F_{1}left({frac {1}{2}},( u +1)/2;{frac {3}{2}};-{frac {x{2}}{ u }} ight)}{{sqrt {pi u }},Gamma ( u /2)}}}其中:2F1{displaystyle ,_{2}F_{1}}是超幾何函數期望值 ν>1{displaystyle u >1}時為0{displaystyle 0},ν=1{displaystyle u =1}時未定義中位數 0{displaystyle 0}眾數 0{displaystyle 0}方差 ν>2{displaystyle u >2}時為νν−2{displaystyle {frac { u }{ u -2}}!},否則為無窮大偏度 ν>3{displaystyle u >3}時為0{displaystyle 0}峰度 ν>4{displaystyle u >4}時為6ν−4{displaystyle {frac {6}{ u -4}}!}信息熵ν+12[ψ(1+ν2)−ψ(ν2)]+log[νB(ν2,12)]{displaystyle {egin{matrix}{frac { u +1}{...
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T-Distribution Student's T
T-Distribution is statistics. How to run a t-test, how to read a t-distribution and how to find t-distribution values. Step by step articles & videos.
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Student's t | t distribution
In probability and statistics, Student's t-distribution is any member of a family of continuous probability distributions that arises when estimating the mean of a ... Read More
t Distribution | t distribution
State the difference between the shape of the t distribution and the normal distribution; State how the difference between the shape of the t distribution and ... Read More
t Distribution | t distribution
Student's t distribution is a continuous probability distribution. This lesson explains when and how to use the distribution. Includes problems with solutions. Read More
T Distribution Definition | 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
t 分布 | t distribution
T分布(T distribution). 我們知道如果從常態分配的母體中所抽樣的樣本數夠多,那麼這些樣本的表現就足夠代表母體的性質。但萬一樣本數不多的話還能適用嗎? Read More
學生t分佈 | 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
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