6 citations · 11 across the 4 of their papers we have counts for
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The exact distribution of the sample variance from bounded continuous random variables
T. Royen
For a sample of absolutely bounded i.i.d. random variables with a continuous density the cumulative distribution function of the sample variance is represented by a univariate inte…
On the Laplace transform of some quadratic forms and the exact distribution of the sample variance from a gamma or uniform parent distribution
T. Royen
From a suitable integral representation of the Laplace transform of a positive semi-definite quadratic form of independent real random variables with not necessarily identical dens…
Exact distribution of the sample variance from a gamma parent distribution
Thomas Royen
Several representations of the exact cdf of the sum of squares of n independent gamma-distributed random variables Xi are given, in particular by a series of gamma distribution fun…
Integral representations for convolutions of non-central multivariate gamma distributions
Thomas Royen
Three types of integral representations for the cumulative distribution functions of convolutions of non-central p-variate gamma distributions are given by integration of elementar…