SCALE PARAMETER ESTIMATION OF THE LOG-LOGISTIC DISTRIBUTION UNDER THE ASSUMPTION OF SOME SELECTED INFORMATIVE PRIORS

TABLE OF CONTENTS

CHAPTER ONE: INTRODUCTION …………………………………………………………………………………………….. 

1.1Background of the Study ……………………………………………………………………………………………………… 

1.2 Statement of the Problem …………………………………………………………………………………………………….. 

1.3 Aim and Objectives of the Study ………………………………………………………………………………………….. 

1.4 Motivation of the study ……………………………………………………………………………………………………….. 

1.5 limitation of the study …………………………………………………………………………………………………………. 

1.6 Significance of the study ………………………………………………………………………………………………………

1.7 Definition of Terms …………………………………………………………………………………………………………….. 

CHAPTER TWO: LITERATURE REVIEW ………………………………………………………………………………….. 

CHAPTER THREE: METHODOLOGY ……………………………………………………………………………………… 

3.1 Bayesian setup …………………………………………………………………………………………………………………. 

3.2 Model and Likelihood function…………………………………………………………………………………………… 

3.3 Prior distribution ………………………………………………………………………………………………………………. 

3.4 Loss and Risk function ………………………………………………………………………………………………………. 

3.5 Bayesian Analysis under the assumption of Gamma prior ……………………………………………………… 

3.6 Bayesian analysis under the assumption of Maxwell prior ……………………………………………………… 

3.7 Bayesian analysis under the assumption of Rayleigh prior …………………………………………………….. 

3.8 Bayesian analysis under the assumption of chi-square prior …………………………………………………… 

3.9Bayesian analysis under the assumption of Uniform prior ………………………………………………………. 

3.10Bayesian analysis under the assumption of Jeffrey’s prior …………………………………………………….. 

3.11Simulation study ……………………………………………………………………………………………………………… 

CHAPTER FOUR: ANALYSIS AND DISCUSSION ……………………………………………………………………. 

CHAPTER FIVE: SUMMARY, CONCLUSION AND RECOMMENDATIONS …………………………….. 

5.0 Summary …………………………………………………………………………………………………………………………. 

5.1 Conclusion ………………………………………………………………………………………………………………………. 

5.2 Recommendations …………………………………………………………………………………………………………….. 

5.4Contribution to Knowledge …………………………………………………………………………………………………. 

5.5Areas of Further Research ………………………………………………………………………………………………….. 

References ………………………………………………………………………………………………………………………………… 

Appendix ………………………………………………………………………………………………………………………………….. 

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