Date of Award
1997
Publication Type
Master Thesis
Degree Name
M.S.
Department
Mathematics and Statistics
Keywords
Statistics.
Supervisor
Hlynka, M.
Rights
info:eu-repo/semantics/openAccess
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.
Abstract
In this thesis, we discuss a probabilistic interpretation of the Laplace transform of probability density functions (p.d.f.) for waiting times in queues. We interpret the Laplace transform of a p.d.f. as the probability that the corresponding random variable wins a race against (i.e., is less than) an exponential random variable. This interpretation is used to compute Laplace transforms of some p.d.f.'s, interpret some properties of the Laplace transform and prove some results for M/G/1 queues. In addition, we explore probabilistic interpretations of the z-transform (probability generating function) and its relationship to the Laplace transform.Dept. of Mathematics and Statistics. Paper copy at Leddy Library: Theses & Major Papers - Basement, West Bldg. / Call Number: Thesis1997 .R69. Source: Masters Abstracts International, Volume: 37-02, page: 0626. Advisers: Myron Hlynka; Richard Caron. Thesis (M.S.)--University of Windsor (Canada), 1997.
Recommended Citation
Roy, Kirk Andrew., "Laplace transforms, probabilities and queues." (1997). Electronic Theses and Dissertations. 2572.
https://scholar.uwindsor.ca/etd/2572