Date of Award
Mathematics and Statistics
CC BY-NC-ND 4.0
Three new distributions are derived for sums of independent truncated Poisson variates, namely, the generalized Stirling, the R, and the D distributions. They depend respectively on the generalized Stirling, R, and D numbers which are defined, studied, and tabulated. Recursion, decomposition, and recurrence relations, limiting and modal properties of these new distributions and numbers are investigated. The moments are obtained. MVU estimators of the probability functions (p.f.'s) of these distributions and computational methods for these numbers and p.f.'s are also given. In addition, the D distribution is extended to the D compound distribution when the number of truncated Poisson variables to be summed is considered as a random variable. Applications are given to a variety of problems: e.g. occupancy, queueing, estimation, medical and systems design problems.Dept. of Mathematics and Statistics. Paper copy at Leddy Library: Theses & Major Papers - Basement, West Bldg. / Call Number: Thesis1990 .H835. Source: Dissertation Abstracts International, Volume: 52-11, Section: B, page: 5914. Supervisor: Karen Y. Fung. Thesis (Ph.D.)--University of Windsor (Canada), 1990.
Huang, Mei Ling., "D numbers and the D distribution." (1990). Electronic Theses and Dissertations. 1599.