Ph.D. Thesis

09/20/02

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Details

 Title

  Investigation of Demographical and Medical Statistical Models

 Author

  Harutyun Shahumyan

 Supervisor

  Professor Evgueni Haroutunian

 First opponent

  Professor Edward Poghosyan

 Second opponent

  Dr. Khanik Qerobyan

 Leading organization

  State Engineering University of Armenia

 Date of defence

  September 25, 2001

 Pages

  123

 Language

  Armenian

:

The thesis is defended in the professional council No 037 "Mathematical Cybernetics and Informatics" of the Institute for Informatics and Automation Problems of Armenian National Academy of Sciences.
 

  Content

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Introduction

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Chapter 1
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General definitions and notations.

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Chapter 2
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An indirect statistical method is suggested which allow without essential expenses estimate alterations in a regional population's age and gender structure. On the base of official data on population and mortality of Republic of Armenia in 1990, 1995-2000, we derive the number of population and emigrants for 1995-2000.

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Chapter 3
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Special slippage and a posteriori methods are applied for statistical analysis of epidemiological time series. Tests are based on the sequential use of parametric statistics for large populations and non parametric rank statistics for small populations. A computer program is developed for realization of discussed methods which is applied in the research of the tuberculosis morbidity, mortality and prevalence indices in Armenia during 1980-2001. Change point problem is solved.

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Chapter 4
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The ideas and properties of variational and Kullback-Leibler distances are used for reduction of analyzed variables space dimensionality and for selection of the most informative indices. The special computer program was written for realization of suggested methods. It was applied in the statistical analysis of data on gastroenterological diseases.

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Chapter 5
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A statistical program package "SIFAnalysis" created by the author. The package allows to check the homogeneity of numerical sequences, find change points of time series, define informative distances of different classes and etc. It is developed by STATISTICA BASIC and may be used within STATISTICA 5.0 or later. "SIFAnalysis" has been applied in some demographical and epidemiological researches and proved itself as a useful statistical computer tool.

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Inference
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Main results and conclusions

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Reference

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Appendix
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Program code of SIFAnalysis in STATISTICA BASIC. The executable program is available at request from author.

 

   

 

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