• Communications for Statistical Applications and Methods
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• 제18권5호
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• pp.645-655
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• 2011

Chandrasekar et al. (2004) introduced a generalized Type-II hybrid censoring. In this paper, we propose generalized doubly Type-II hybrid censoring. In addition, this paper presents the statistical inference on the scale parameter for the half logistic distribution when samples are generalized doubly Type-II hybrid censoring. The approximate maximum likelihood(AMLE) method is developed to estimate the unknown parameter. The scale parameter is estimated by the AMLE method using two di erent Taylor series expansion types. We compar the AMLEs in the sense of the mean square error(MSE). The simulation procedure is repeated 10,000 times for the sample size n = 20; 30; 40 and various censored samples. The $AMLE_I$ is better than $AMLE_{II}$ in the sense of the MSE.

• 한국통계학회:학술대회논문집
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• 한국통계학회 2004년도 학술발표논문집
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• pp.243-248
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• 2004

The timings of two successive events of interest may not be measurable, instead it may be right censored or interval censored; this data structure is called doubly censored data. In the study of HIV, two such events are the infection with HIV and the onset of AIDS. These data have been analyzed by authors under the assumption that infection time and induction time are independent. This paper investigates the regression problem when two events arc modeled to allow the presence of a possible relation between two events as well as a subject-specific effect. We derive the estimation procedure based on Goetghebeur and Ryan's (2000) piecewise exponential model and Gauss-Hermite integration is applied in the EM algorithm. Simulation studies are performed to investigate the small-sample properties and the method is applied to a set of doubly censored data from an AIDS cohort study.

• Communications for Statistical Applications and Methods
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• 제28권2호
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• pp.151-159
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• 2021

In this article, our interest is to estimate the association between consecutive gap times which are subject to interval censoring. Such data are referred as doubly interval censored data (Sun, 2006). In a context of serial event, an induced dependent censoring frequently occurs, resulting in biased estimates. In this study, our goal is to propose a Kendall's 𝜏 based association measure for doubly interval censored data. For adjusting the impact of induced dependent censoring, the inverse probability censoring weighting (IPCW) technique is implemented. Furthermore, a multiple imputation technique is applied to recover unknown failure times owing to interval censoring. Simulation studies demonstrate that the suggested association estimator performs well with moderate sample sizes. The proposed method is applied to a dataset of children's dental records.

• Journal of the Korean Data and Information Science Society
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• 제22권2호
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• pp.171-177
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• 2011

최근에 비약적으로 발달하는 보험 산업에 수반하여 보험금 지불 분포에 대한 연구가 활발하게 진행되고 있다. 보험금 지불금의 분포는 일반적으로 두터운 꼬리를 가지면서 좌로 치우친 왜도를 가지는 파레토 분포나 로그노말 분포로 잘 설명된다고 알려져 왔으며 Cooray와 Ananda (2005)는 이들 두 분포를 결합한 결합 로그노말-파레토분포를 제시하고 이 분포의 적합도가 높음을 보였다. 그런데 보험금 지불의 경우 보금지불 총 금액의 한도로 인하여 극단적으로 큰 보험금이나 혹은 매우 사소한 보험지불금의 경우는 옵션을 두어 예외적으로 취금하는 경우가 많다. 본 논문에서는 결합 로그노말-파레토 분포로부터 추출된 표본이 양쪽 중도 절단되어 있는 경우에 대하여 모수를 추정하는 문제를 다루어 보았다.

• Journal of the Korean Data and Information Science Society
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• 제13권1호
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• pp.147-156
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• 2002

In this paper, we study the properties of the modified winsorized mean to estimate the mean of a two-truncation parameter population. Under some mild conditions, the estimator is found to be strongly consistent and asymptotically unbiased even though the sample is doubly type II censored.