Some New Results in the Statistical Analysis of Stochastic Processes of the Reliability and Queuing Type.
GEORGE WASHINGTON UNIV WASHINGTON D C PROGRAM IN LOGISTICS
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This dissertation deals mainly with the usefulness of Gnedenkos F or ratio test for exponentiality with a stress on its application to the Weibull distribution. The power of the Gnedenko ratio test is calculated for the oft-used alternatives of Erlang and log-normal distributions and then compared to that of the appropriate Kolmogorov-Smirnov, Anderson-Darling, and other distance statistics. A second and important application is made in the field of queuing theory. Given the line waits of an MG1 queue, how does one test the hypothesis that G M in the notation of queuing. This problem is fully solved.
- Statistics and Probability
- Operations Research