Term of Award
Master of Science in Mathematics (M.S.)
Document Type and Release Option
Thesis (restricted to Georgia Southern)
Department of Mathematical Sciences
Broderick O. Oluyede
Committee Member 1
Committee Member 2
In this thesis, a generalized modified Weibull distribution called the exponentiated modified Weibull Poisson (EMWP) distribution as well as related sub-distributions are proposed. Series expansion of the densities are obtained. Statistical properties of these classes of distributions, including hazard function, reverse hazard function, moments, quantile function, entropy and distribution of order statistics are derived. Method of maximum likelihood is used to estimate the parameters of the new distribution. Finally, a real data example is discussed to illustrate the usefulness and applicability of the distribution.
Towa, Toussaint, "Generalized Modified Weibull Poisson Distribution with Applications to Lifetime Data" (2013). Electronic Theses and Dissertations. 1175.