HotellingTSquareDistribution

As of Version 8, HotellingTSquareDistribution is part of the built-in Wolfram Language kernel.

HotellingTSquareDistribution[p,m]
represents Hotelling's distribution with dimensionality parameter p and degrees of freedom parameter m.

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  • To use HotellingTSquareDistribution, you first need to load the Multivariate Statistics Package using Needs["MultivariateStatistics`"].
  • HotellingTSquareDistribution is a univariate distribution derived from the multivariate normal distribution.
  • The probability density for value x in Hotelling's distribution is proportional to x-1+p/2(1+x/m)-(m+1)/2 for x>0.
  • The parameters p and m can be any positive real numbers such that m>p-1.
  • HotellingTSquareDistribution can be used with such functions as Mean, CDF, and RandomReal.

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基本范例  (3)基本范例  (3)

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The mean of a Hotelling distribution:

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The variance:

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Probability density function:

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