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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국신뢰성학회 International Journal of Reliability and Applications International Journal of Reliability and Applications 제21권 제2호
- 발행연도
- 2020.12
- 수록면
- 79 - 99 (21page)
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초록· 키워드
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In this paper, bivariate reversed hazard power parameter families of distributions are introduced in terms of reversed hazard rates, which are useful for the analysis of left censored data and in reliability and survival analysis. Unlike the univariate set up, a more than one definition based on reversed hazard rates in the bivariate setup is introduced based on different copulas which are FGM copula and Marshal Olkin one, with different baseline distributions namely inverse exponential, inverse Rayleigh, uniform, inverse uniform and Topp-Leone distributions. In most of the cases it is observed that the joint probability density function, the joint cumulative distribution function, the joint reversed hazard function and the joint survival function can be expressed in closed forms. Several properties of these bivariate distributions such as marginals, conditional distributions have been discussed. Moreover, estimating the unknown parameters is also considered for both families using maximum likelihood estimation method.
목차
Abstract
1. INTRODUCTION
2. UNIVARIATE REVERSED HAZARD POWER PARAMETER FAMILY OF DISTRIBUTIONS (URPP)
3. MARSHALL- OLKIN BIVARIATE REVERSED HAZARD POWER PARAMETER FAMILY OF DISTRIBUTIONS
5. FGM BIVARIATE REVERSED HAZARD POWER PARAMETER FAMILY OF DISTRIBUTIONS
5. CONCLUSION
REFERENCES
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