Estimation for the Rayleigh Distribution Based on Multiply Type I Hybrid Censored Samples

• 발행기관: 한국자료분석학회
• 저자명: Jeonggoo Kim Chankeun Park
• 간행물 정보: 『Journal of The Korean Data Analysis Society (JKDAS)』Vol.16 No.6, 2889~2899쪽, 전체 11쪽
• 주제분류: 자연과학 > 통계학
• 파일형태: PDF
• 발행일자: 2014.12.30

영문 초록

In this paper, we derive statistical inference on the scale parameter and entropy function for the Rayleigh distribution when we use the multiply type I hybrid censoring scheme. The scale parameter and entropy function are estimated by approximate maximum likelihood estimation methods using two different Taylor series expansion types. We also obtain the maximum likelihood estimator (MLE) of the scale parameter and entropy function under the multiply type I hybrid censored samples. We compare the estimators in the sense of the root mean square error (RMSE). The simulation procedure is repeated 10,000 times for the sample size n = 20, 40 and various multiply type I hybrid censored samples. Further an illustrative example with the real data is presented.

목차

1. Introduction

2. Multiply Type I Hybrid Censoring

3. Approximate Maximum Likelihood Estimators

4. Numerical Experiment

5. Conclusion

References

키워드

Approximate maximum likelihood estimator Entropy Multiply type I hybrid censored samples Rayleigh distribution Taylor series expansion