Distribution of the ratio of geometric mean to arithmetic mean in a sample from a two-piece double exponential distribution. (English) Zbl 0746.62010

Lingappaiah, G. S.

Math. Balk., New Ser. 5, No. 1, 76-80 (1991).

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)

Keywords:

double exponential distribution; ratio of the geometric mean to the arithmetic mean; two-piece double exponential distribution; different scale parameters; Meijer’s \(G\)-function