On a distribution of Leipnik and Pearce

• Autores: Saralees Nadarajah, Samuel Kotz
• Localización: Anziam journal: The Australian & New Zealand industrial and applied mahtematics journal, ISSN 1446-1811, Vol. 48, Nº 3, 2007, págs. 405-407
• Idioma: inglés
• DOI: 10.1017/s1446181100003564
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• Resumen

  • A recent paper by Leipnik and Pearce 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.