The Reciprocal of the Decapitated Negative Binomial Variable
作者:
Zakkula Govindarajulu,
期刊:
Journal of the American Statistical Association
(Taylor Available online 1962)
卷期:
Volume 57,
issue 300
页码: 906-913
ISSN:0162-1459
年代: 1962
DOI:10.1080/01621459.1962.10500825
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
Thei-th inverse moment of a decapitated negative binomial variable is expressed as an integral, the integrand of which involves its (i− 1)th inverse moment. A bound on the cumulative round off error involved in using the recurrent formulae for the inverse moments of the decapitated negative binomial variable is obtained. The cumulative error is found to be not serious. Various approximations for these moments have also been obtained. Among these, the gamma approximations seem to be accurate to two or more decimal places for values ofmandpsuch thatmp> 5, provided the gamma approximations are applicable. An application of these moments is also considered.
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