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Distribution of the ratio of geometric mean to arithmetic mean in a sample from a two-piece double exponential distribution. (English) Zbl 0746.62010
Summary: This paper deals with the distribution of the ratio of the geometric mean to the arithmetic in a sample drawn from a two-piece double exponential distribution, where two pieces have different scale parameters. For this purpose, hypergeometric functions are utilized and this distribution is expressed in terms of Meijer’s $$G$$-function.
##### MSC:
 62E15 Exact distribution theory in statistics 33C60 Hypergeometric integrals and functions defined by them ($$E$$, $$G$$, $$H$$ and $$I$$ functions)