Estimation for the Half-triangle Distribution based on Generalized Adaptive Progressive Hybrid Censored Samples

• 발행기관: 한국자료분석학회
• 저자명: 성영재(Yeongjae Seong) 이경준(Kyeongjun Lee)
• 간행물 정보: 『Journal of The Korean Data Analysis Society (JKDAS)』Vol.23 No.2, 491~499쪽, 전체 9쪽
• 주제분류: 자연과학 > 통계학
• 파일형태: PDF
• 발행일자: 2021.04.30

영문 초록

Generalized adaptive progressive hybrid censoring scheme is designed to correct the drawbacks in the adaptive progressive hybrid censoring scheme. The survival test based on the generalized adaptive progressive hybrid censoring scheme can save both the total time and cost on tests. In this paper, the estimation of the parameter and reliability of a half-triangle distribution (HaTrD) based on generalized adaptive progressive hybrid censoring scheme has been considered. Since the maximum likelihood estimators (MLE) of the parameter and reliability cannot be obtained in closed form, Newton-Raphson method have been considered. Also, we consider the approximate MLE (AMLE) using Taylor series expansion. Simulation experiments are performed to see the effectiveness of the different estimators. AMLEs of parameter and reliability perform better than its MLEs in terms of MSEs. Among AMLEs of parameter and reliability, we can observe that AMLE have overall lower MSEs. Also, a simulated data set based on the generalized adaptive progressive hybrid censoring is also analyzed for illustrative purposes.

목차

1. Introduction

2. Estimation

3. Simulation results

4. Conclusion

References

키워드

approximate maximum likelihood estimator, generalized adaptive progressive hybrid censoring, half-triangle distribution, maximum likelihood estimator, Taylor series expansion