Statistical properties of quasi-range in small samples from a gamma density

Abstract

The statistical properties of quasi-ranges in small samples from a gamma density are the objects of study in this paper.The methods of computing the "Coefficient MatrixnA(j,k), which plays a major role for computing moments and quantiles from such a density using high speed digital computers, are presented. Limited tables of central and non-central moments as well as tables of quantile values, are given. More extensive tables can be easily constructed by using the methods described here when the need arises. Also, a table of values for kurtosis and skewness is presented.

Keywords:

• Quasi-range
• Gamma density
• Small samples

^∗ Now at Lamar University, Beaumont, Texas,77710.

^∗ Now at Lamar University, Beaumont, Texas,77710.

Notes

^∗ Now at Lamar University, Beaumont, Texas,77710.