"A comparison is made between the estimates of the parameters in a gamma distribution obtained by the method of moments with those obtained by a numerical approximation to the maximum likelihood estimates. The estimates obtained by the numerical approximation had a smaller mean squared error from the true value than the estimates obtained by the method of moments. Modifications to tests of fit are made in order to develop methods to select a distribution from a set of possible distributions for a population with an unknown distribution. These selection methods are compared in their ability to make correct selections. Although the likelihood ratio method was not shown to be significantly better than the other methods, it is recommended for use in selecting a distribution from a set"--Abstract, page ii.
Lee, Ralph E., 1921-2010
Sauer, Harry J., Jr., 1935-2008
Bain, Lee J., 1939-
Antle, Charles E.
Mathematics and Statistics
M.S. in Applied Mathematics
University of Missouri at Rolla
iv, 23 pages
© 1965 Howard Lyndal Colburn, All rights reserved.
Thesis - Open Access
Probabilities -- Mathematical models
Moments method (Statistics)
Print OCLC #
Electronic OCLC #
Link to Catalog Record
Colburn, Howard Lyndal, "Comparison of methods to select a probability model" (1965). Masters Theses. 7030.