• Title/Summary/Keyword: interval censored

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Modeling Clustered Interval-Censored Failure Time Data with Informative Cluster Size (군집의 크기가 생존시간에 영향을 미치는 군집 구간중도절단된 자료에 대한 준모수적 모형)

  • Kim, Jinheum;Kim, Youn Nam
    • The Korean Journal of Applied Statistics
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    • v.27 no.2
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    • pp.331-343
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    • 2014
  • We propose two estimating procedures to analyze clustered interval-censored data with an informative cluster size based on a marginal model and investigate their asymptotic properties. One is an extension of Cong et al. (2007) to interval-censored data and the other uses the within-cluster resampling method proposed by Hoffman et al. (2001). Simulation results imply that the proposed estimators have a better performance in terms of bias and coverage rate of true value than an estimator with no adjustment of informative cluster size when the cluster size is related with survival time. Finally, they are applied to lymphatic filariasis data adopted from Williamson et al. (2008).

Bootstrap Confidence Interval of Treatment Effect for Censored Data

  • Hyun Jong KIM;Sang Gue PARK
    • Communications for Statistical Applications and Methods
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    • v.4 no.3
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    • pp.917-927
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    • 1997
  • Consider the confidence interval estimators of treatment effect when some of data to be analyzed are randomly censored, assuming two-sample location-shift model. Recently proposed PARK and PARK(1995) Estimators is discussed and a bootstrap estimator is proposed. This estimator is compared with other well-known estimators throught the simulation studies and recommendations about the use are made.

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Regression analysis of doubly censored failure time data with frailty time data with frailty

  • Kim Yang-Jin
    • Proceedings of the Korean Statistical Society Conference
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    • 2004.11a
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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.

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Cure Rate Model with Clustered Interval Censored Data (군집화된 구간 중도절단자료에 대한 치유율 모형의 적용)

  • Kim, Yang-Jin
    • The Korean Journal of Applied Statistics
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    • v.27 no.1
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    • pp.21-30
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    • 2014
  • Ordinary survival analysis cannot be applied when a significant fraction of patients may be cured. A cure rate model is the combination of cure fraction and survival model and can be applied to several types of cancer. In this article, the cure rate model is considered in the interval censored data with a cluster effect. A shared frailty model is introduced to characterize the cluster effect and an EM algorithm is used to estimate parameters. A simulation study is done to evaluate the performance of estimates. The proposed approach is applied to the smoking cessation study in which the event of interest is a smoking relapse. Several covariates (including intensive care) are evaluated to be effective for both the occurrence of relapse and the smoke quitting duration.

Bayesian analysis of an exponentiated half-logistic distribution under progressively type-II censoring

  • Kang, Suk Bok;Seo, Jung In;Kim, Yongku
    • Journal of the Korean Data and Information Science Society
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    • v.24 no.6
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    • pp.1455-1464
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    • 2013
  • This paper develops maximum likelihood estimators (MLEs) of unknown parameters in an exponentiated half-logistic distribution based on a progressively type-II censored sample. We obtain approximate confidence intervals for the MLEs by using asymptotic variance and covariance matrices. Using importance sampling, we obtain Bayes estimators and corresponding credible intervals with the highest posterior density and Bayes predictive intervals for unknown parameters based on progressively type-II censored data from an exponentiated half logistic distribution. For illustration purposes, we examine the validity of the proposed estimation method by using real and simulated data.

Prediction Intervals for Proportional Hazard Rate Models Based on Progressively Type II Censored Samples

  • Asgharzadeh, A.;Valiollahi, R.
    • Communications for Statistical Applications and Methods
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    • v.17 no.1
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    • pp.99-106
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    • 2010
  • In this paper, we present two methods for obtaining prediction intervals for the times to failure of units censored in multiple stages in a progressively censored sample from proportional hazard rate models. A numerical example and a Monte Carlo simulation study are presented to illustrate the prediction methods.

A Note on a New Two-Parameter Lifetime Distribution with Bathtub-Shaped Failure Rate Function

  • Wang, F.K.
    • International Journal of Reliability and Applications
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    • v.3 no.1
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    • pp.51-60
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    • 2002
  • This paper presents the methodology for obtaining point and interval estimating of the parameters of a new two-parameter distribution with multiple-censored and singly censored data (Type-I censoring or Type-II censoring) as well as complete data, using the maximum likelihood method. The basis is the likelihood expression for multiple-censored data. Furthermore, this model can be extended to a three-parameter distribution that is added a scale parameter. Then, the parameter estimation can be obtained by the graphical estimation on probability plot.

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Bootstrap Confidence Intervals for Regression Coefficients under Censored Data

  • Cho, Kil-Ho;Jeong, Seong-Hwa
    • Journal of the Korean Data and Information Science Society
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    • v.13 no.2
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    • pp.355-363
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    • 2002
  • Using the Buckley-James method, we construct bootstrap confidence intervals for the regression coefficients under the censored data. And we compare these confidence intervals in terms of the coverage probabilities and the expected confidence interval lengths through Monte Carlo simulation.

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A concordance test for bivariate interval censored data using a leverage bootstrap (지렛대 붓스트랩을 이용한 이변량 구간 중도 절단 자료의 일치성 검정)

  • Kim, Yang-Jin
    • The Korean Journal of Applied Statistics
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    • v.32 no.5
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    • pp.753-761
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    • 2019
  • A test procedure based on a Kendall's τ statistic is proposed for the association of bivariate interval censored data. In particular, a leverage bootstrap technique is applied to replace unknown failure times and a classical adjustment method is applied for treating tied observations. The suggested method shows desirable results in simulation studies. An AIDS dataset is analyzed with the suggested method.

Effects of Informative Censoring in the Proportional Hazards Model (비례위험모형에서 정보적 중도절단의 효과)

  • 정대현;홍승만;원동유
    • Journal of Applied Reliability
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    • v.2 no.2
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    • pp.121-133
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    • 2002
  • This paper concerns informative censoring and some of the difficulties it creates in analysis of survival data. For analyzing censored data, misclassification of informative censoring into random censoring is often unavoidable. It is worthwhile to investigate the impact of neglecting informative censoring on the estimation of the parameters of the proportional hazards model. The proposed model includes a primary failure which can be censored informatively or randomly and a followup failure which may be censored randomly. Simulation shows that the loss is about 30% with regard to the confidence interval if we neglect the informative censoring.

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