The spatial modeling of a mixture distribution /
The mixture of discrete and continuous distributions was first considered by Aitchison (1955) and is called the Delta-Distribution. Pennington (1983) obtained the uniform minimum variance unbiased estimators for parameters of the Delta-Distribution under conditions that the distributions are identi...
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| Format: | Thesis Book |
| Language: | English |
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[Place of publication not identified] :
[publisher not identified] ;
2000.
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| Online Access: | http://proxy.library.tamu.edu/login?url=http://proquest.umi.com/pqdweb?did=727853561&sid=1&Fmt=2&clientId=2945&RQT=309&VName=PQD |
| Summary: | The mixture of discrete and continuous distributions was first considered by Aitchison (1955) and is called the Delta-Distribution. Pennington (1983) obtained the uniform minimum variance unbiased estimators for parameters of the Delta-Distribution under conditions that the distributions are identically independent distributions (i.i.d). Stefansson (1996) introduced spatial patterns into the Delta-Distribution which were assumed to be independent, but not necessarily identically distributed. For the exponential family with spatial correlation, Besag (1974) introduced the method of quasi-likelihood and Liang and Zeger (1986) provided the method of quasi-likelihood. However, both procedures required certain conditions to be satisfied and there are no general asymptotic results for these estimators. In this dissertation, the pseudo-likelihood and the quasi-likelihood procedures are used to estimate the parameters of the Delta-Distribution. The general conditions needed to use the pseudo-likelihood procedure are found. The quasi-likelihood estimators are extended to a new estimator which has excellent asymptotic properties. A simulation study is used to evaluate the fixed sample size properties of these estimators. The model is also used to analyze a data set from marine science. |
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| Item Description: | Vita. "Major Subject: Statistics". |
| Physical Description: | ix, 81 leaves : illustrations ; 28 cm. Issued also on microfiche from University Microfilm Inc. |
| Bibliography: | Includes bibliographical references (leaves 69-70). |