Distributions of gamma M-spacings

الملخص EN

This paper is concerned with the distributions of the m -spacings of order statistics associated with a sample from a two-parameter gamma population when the shape parameter is a positive integer.

We prove that the m-spacings have finite mixture distributions with negative components, each of which in turn has a finite gamma mixture distribution.

We write the probability density function of the m-spacings in closed form And provide a Mathematica code for the implementation.