On a distribution of Leipnik and Pearce. (English) Zbl 1215.62013
Summary: R.B. Leipnik and C.E.M. Pearce [ibid. 46, No. 2, 265–271 (2004; Zbl 1055.62014)] introduced the gamma Weibull distribution. One of the main properties given is its characteristic function, which is expressed as an infinite sum. In this note, we provide a simpler representation in terms of the well-known hypergeometric functions in some special cases. We also derive expressions for moments of the distribution.
MSC:
| 62E10 | Characterization and structure theory of statistical distributions |
| 33C90 | Applications of hypergeometric functions |
Citations:
Zbl 1055.62014References:
| [1] | Leipnik, ANZIAM J. 46 pp 265– (2004) |
| [2] | Prudnikov, Integrals and Series 1 (1986) |
| [3] | Gradshteyn, Table of Integrals, Series, and Products (2000) · Zbl 0981.65001 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
