Donaghey, Charles E.2022-10-142022-10-1419762460551https://hdl.handle.net/10657/12283Work has been done in generating random variates of some distributions for simulation purposes. A subroutine which gives a random number of any common statistical distribution desired, and a compilation of the backgrounds, and derivations for the generating methods gives convenience and understanding to anyone who does simulation work. This thesis presents a brief history on the generation of random variables, a compilation and investigation of old and new generating methods, and comparisons and evaluations of different methods by chi-square and t-tests. The best method of each distribution investigated is selected to incorporate into subroutines CTIME or DTIME, depending on whether the distribution is continuous or discrete.application/pdfenThis item is protected by copyright but is made available here under a claim of fair use (17 U.S.C. Section 107) for non-profit research and educational purposes. Users of this work assume the responsibility for determining copyright status prior to reusing, publishing, or reproducing this item for purposes other than what is allowed by fair use or other copyright exemptions. Any reuse of this item in excess of fair use or other copyright exemptions requires express permission of the copyright holder.Generation of random variates from statistical distributionsThesisreformatted digital