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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2020.3
- 수록면
- 439 - 453 (15page)
- DOI
- 10.7465/jkdi.2020.31.2.439
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초록· 키워드
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This paper addresses statistical properties of the generalized half-logistic distribution. We first establish the relations between the generalized half-logistic distribution and some well-known probability distributions, and then derive the moments of a random variable from the generalized half-logistic distribution. In addition, the maximum likelihood method is developed to provide the maximum likelihood estimators and approximate confidence intervals for unknown parameters. Note that the shape parameter can be the parameter of interest because the generalized half-logistic distribution has different shapes according to the value of the shape parameter. Therefore, we provide an unbiased estimator and an exact confidence interval based on a pivotal quantity for the shape parameter of the generalized half-logistic distribution, which is more efficient than the maximum likelihood estimation. Finally, we show that the generalized half-logistic distribution is available as a failure time model through real data analysis.
목차
Abstract
1. Introduction
2. Properties
3. Estimation
4. Application
5. Concluding remarks
References
참고문헌 (24)
참고문헌 신청
Asgharzadeh, A. / 2015 / Interval estimation for the two-parameter bathtub-shaped lifetime distribution based on records / Hacettepe Journal of Mathematics and Statistics 44:399~416
Baklizi, A. / 2005 / Preliminary test estimation in the two parameter exponential distribution with time censored data / Applied Mathematics and Computation 163:639~643
Balakrishnan, N. / 1992 / Estimation for the scale half logistic distribution under type-II censoring / Computational Statistics & Data Analysis 13:123~141
Balakrishnan, N. / 1986 / Best linear unbiased estimators of location and scale param-eters of the half logistic distribution / Journal of Statistical Computation and Simulation 25:193~204
Balakrishnan, N. / 1991 / Approximate mles for the location and scale parameters of the half-logistic distribution with type-II right censoring / IEEE Transactions on Reliability 40:140~145
Baklizi, A. / 2005 / Preliminary test estimation in the two parameter exponential distribution with time censored data / Applied Mathematics and Computation 163:639~643
Balakrishnan, N. / 1992 / Estimation for the scale half logistic distribution under type-II censoring / Computational Statistics & Data Analysis 13:123~141
Balakrishnan, N. / 1986 / Best linear unbiased estimators of location and scale param-eters of the half logistic distribution / Journal of Statistical Computation and Simulation 25:193~204
Balakrishnan, N. / 1991 / Approximate mles for the location and scale parameters of the half-logistic distribution with type-II right censoring / IEEE Transactions on Reliability 40:140~145
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UCI(KEPA) : I410-ECN-0101-2020-041-000547638