Modeling and Simulation Based Analysis in Reliability Engineering

6

 

 

Bayesian Inference on General-Order Statistic Models

 

Aniket Jain

Acellere Software Pvt. Ltd

Biswabrata Pradhan

Indian Statistical Institute

Debasis Kundu

Indian Institute of Technology

CONTENTS

6.1 Introduction

6.2 Model Assumptions and Prior Selection

6.2.1 Model Assumptions

6.2.2 Prior Selection

6.3 Posterior Analysis of Different GOS Models

6.3.1 Exponential GOS Model

6.3.2 Weibull GOS Model

6.3.3 Generalized Exponential GOS Model

6.4 Simulation Experiments

6.5 Data Analysis

6.6 Conclusion

Acknowledgment

Appendix

References

 

6.1 Introduction

Suppose there is a closed population of size N. In this chapter, we consider the estimation of N based on Type-I censored data. The problem is the following. Let T1,…,TN be a random sample ...