Accession Number:

ADA003928

Title:

Some New Results in the Statistical Analysis of Stochastic Processes of the Reliability and Queuing Type.

Descriptive Note:

Doctoral thesis,

Corporate Author:

GEORGE WASHINGTON UNIV WASHINGTON D C PROGRAM IN LOGISTICS

Personal Author(s):

Report Date:

1974-10-08

Pagination or Media Count:

111.0

Abstract:

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.

Subject Categories:

  • Statistics and Probability
  • Operations Research

Distribution Statement:

APPROVED FOR PUBLIC RELEASE