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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

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Showing 1 to 2 of 2 (0.029 seconds)
1

APPLICATIONS OF THE BIVARIATE GAMMA DISTRIBUTION IN NUTRITIONAL EPIDEMIOLOGY AND MEDICAL PHYSICS

Barker, Jolene 26 September 2008 (has links)
In this thesis the utility of a bivariate gamma distribution is explored. In the field of nutritional epidemiology a nutrition density transformation is used to reduce collinearity. This phenomenon will be shown to result due to the independent variables following a bivariate gamma model. In the field of radiation oncology paired comparison of variances is often performed. The bivariate gamma model is also appropriate for fitting correlated variances. A method for simulating bivariate gamma random variables is presented. This method is used to generate data from several bivariate gamma models and the asymptotic properties of a test statistic, suggested for the radiation oncology application, is studied.
BIVARIATE GAMMA DISTRIBUTION
NUTRITIONAL EPIDEMIOLOGY
Medical Physics
Collinearity
Biostatistics
Physical Sciences and Mathematics
Statistics and Probability
2

A Study of Gamma Distributions and Some Related Works

Chou, Chao-Wei 11 May 2004 (has links)
Characterization of distributions has been an important topic in statistical theory for decades. Although there have been many well known results already developed, it is still of great interest to find new characterizations of commonly used distributions in application, such as normal or gamma distribution. In practice, sometimes we make guesses on the distribution to be fitted to the data observed, sometimes we use the characteristic properties of those distributions to do so. In this paper we will restrict our attention to the characterizations of gamma distribution as well as some related studies on the corresponding parameter estimation based on the characterization properties. Some simulation studies are also given.
renewal process.
characterization
constancy of regression
gamma distribution
mean squared error
power of hypothesis testing
Laplace transform
method of moments
generalized inverse Gaussian
Poisson process
inverse Gaussian distribution
Beta distribution
bivariate gamma distribution
parameter estimation
change of measure

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