Mohamed, B. (1977). An Approximation for the First Inverse Moment of the Positive Binomial and Poisson Variables. test, 21(1), 71-80. doi: 10.21608/esju.1977.315644
Badrekan Zaki Mohamed. "An Approximation for the First Inverse Moment of the Positive Binomial and Poisson Variables". test, 21, 1, 1977, 71-80. doi: 10.21608/esju.1977.315644
Mohamed, B. (1977). 'An Approximation for the First Inverse Moment of the Positive Binomial and Poisson Variables', test, 21(1), pp. 71-80. doi: 10.21608/esju.1977.315644
Mohamed, B. An Approximation for the First Inverse Moment of the Positive Binomial and Poisson Variables. test, 1977; 21(1): 71-80. doi: 10.21608/esju.1977.315644

An Approximation for the First Inverse Moment of the Positive Binomial and Poisson Variables

The Egyptian Statistical Journal
Article 4, Volume 21, Issue 1, June 1977, Pages 71-80
Document Type: Original Article
DOI: 10.21608/esju.1977.315644
Author
Badrekan Zaki Mohamed
Abstract
This paper is devoted to the derivation of limiting forms for the inverse moments of the positive binomial and Poisson variables. The method adopted depends on getting successive upper and lower limits for the first inverse moment, which leads to an appropriate limit, when n (number of trials of the binomial) and m (the Poisson parameter) are large. Numerical values show that the approximation is good under the above stated conditions, and is better than the one stated by Grab and Savage in [1].
Keywords
Positive Binomial; Poisson Variables; First Inverse Moment; Numerical Values
Statistics
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