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, Page 71-80 | ||||
Document Type: Original Article | ||||
DOI: 10.21608/esju.1977.315644 | ||||
View on SCiNiTO | ||||
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 Article View: 31 |
||||