• Title/Summary/Keyword: censoring

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Estimation of the Block and Basu model for system level life testing with censored data

  • Jeong, In-Ho;Cho, Kil-Ho;Cho, Jang-Sik
    • Journal of the Korean Data and Information Science Society
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    • v.20 no.5
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    • pp.941-948
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    • 2009
  • We consider a life testing experiment in which several two component shared parallel system are put on test, and the test is terminated at a specified number of system failures. The bivariate data obtained from such a system level life testing can be classified into three classes: (1) the case of failed two components with known failure times, (2) the case of one censored component and the other failed component of which the failure time might be known or unknown, (3) the case of censored two components. In this thesis, the maximum likelihood estimators of parameters for Block and Basu bivariate exponential distribution under above censoring scheme are obtained. And the results of comparative studies are presented.

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Identifying Factors Affecting Consumer's Choice to Imported Organic Agricultural Products (수입산 유기농산물 구입의향 요인분석)

  • Han, Jae-Hwan;Jeong, Hak-Kyun
    • Korean Journal of Organic Agriculture
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    • v.22 no.1
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    • pp.67-80
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    • 2014
  • The objective of the study is to investigate factors affecting consumers' purchase intention toward imported organic agricultural products. To accomplish the goal of the study a consumer survey was administered for randomly selected households residing in capital area. Results show that the more consumers trust a safety of domestic products and a certification system, the less they purchase the imported products. In addition, it is demonstrated that educated consumers are relatively less reluctant to imported organic agricultural products. Finally, an improvement of domestic certification system, decrease of price of environmentally friendly agricultural products, and aggressive promotion are required to enhance the competitiveness of the domestic environmentally friendly agricultural products.

Partially Parametric Estimation of Lifetime Distribution from a Record of Failures and Follow-Ups

  • Yoon, Byoung Chang
    • Journal of Korean Society for Quality Management
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    • v.22 no.4
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    • pp.59-78
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    • 1994
  • In some observational studies, we have often random censoring model. However, the data available may be partially observable censored data consisting of the observed failure times and only those nonfailure times which are subject to follow up. In this paper, we present an extension of the problem of partially parametric estimation of the survival function to such partially observable censored data. The proposed estimator treats the observed failure times nonparametrically and uses a parametric model only for those nonfailure times which are subject to follow-up. We discuss the motivation and construction of the proposed estimator and investigate the limiting properties of the proposed estimator such as asymptotic normality. Also, when the assumed parametric model is exponential, the asymptotic variance of the estimator is obtained. Furthermore, an example is given to compare the proposed estimator with the modified Kaplan Meier(MKM) estimator. From the results, it is shown that the relative efficiency of the proposed estimator is higher than that of the MKM estimator in the follow-up study with increasing time.

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Mean Lifetime Estimation with Censored Observations

  • Kim, Jin-Heum;Kim, Jee-Hoon
    • Journal of the Korean Statistical Society
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    • v.26 no.3
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    • pp.299-308
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    • 1997
  • In the simple linear regression model Y = .alpha.$_{0}$ + .beta.$_{0}$Z + .epsilon. under the right censorship of the response variables, the estimation of the mean lifetime E(Y) is an interesting problem. In this paper we propose a method of estimating E(Y) based on the observations modified by the arguments of Buckley and James (1979). It is shown that the proposed estimator is consistent and our proposed procedure in the simple linear regression case can be naturally extended to the multiple linear regression. Finally, we perform simulation studies to compare the proposed estimator with the estimator introduced by Gill (1983).83).

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Regression models generated by gamma random variables with long-term survivors

  • Ortega, Edwin M.M.;Cordeiro, Gauss M.;Hashimoto, Elizabeth M.;Suzuki, Adriano K.
    • Communications for Statistical Applications and Methods
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    • v.24 no.1
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    • pp.43-65
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    • 2017
  • We propose a flexible cure rate survival model by assuming that the number of competing causes of the event of interest has the Poisson distribution and the time for the event follows the gamma-G family of distributions. The extended family of gamma-G failure-time models with long-term survivors is flexible enough to include many commonly used failure-time distributions as special cases. We consider a frequentist analysis for parameter estimation and derive appropriate matrices to assess local influence on the parameters. Further, various simulations are performed for different parameter settings, sample sizes and censoring percentages. We illustrate the performance of the proposed regression model by means of a data set from the medical area (gastric cancer).

Optimal Designs of Partially Constant-Stress Life Testing For Three-Component Mixed Systems

  • Park, Hee-Chang;Jeng, Kwang-Man;Kim, Min-Hwan
    • 한국데이터정보과학회:학술대회논문집
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    • 2002.06a
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    • pp.155-167
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    • 2002
  • In this paper we consider optimal designs of partially constant-stress life testing which is deviced for three-component mixed systems with the considerably long time. Mixed systems are jointed serial system with parallel system. Test items are run at both use condition and accelerated condition until a specified censoring time. The optimal criterion for the sample-proportion allocated to accelerated condition is to minimized asymptotic variance of the maximum likelihood estimators of the acceleration factor and hazard rates.

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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.

Design of Accelerated Life Tests and Small Sample Study under Continuous and Intermittent Inspections for Lognormal Failure Distribution (수명이 대수정규분포를 따를 때 연속 및 간헐적 검사하에서 가속수명시험의 설계와 소표본 연구)

  • Seo, Sun-Keun;Chung, Won-Kee
    • Journal of Korean Institute of Industrial Engineers
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    • v.23 no.1
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    • pp.177-196
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    • 1997
  • In this paper, statistically optimal accelerated life test(ALT) plans considering statistical efficiency only and new compromise ALT plans to sacrifice some statistical efficiency in return for improved overall properties including estimobility probability and robustness for the model assumptions are developed under the assumptions of constant stress, intermittent inspection, Type I censoring and lognormal failure distribution which has been one of the popular choices of failure distributions in the extensive engineering applications of ALT. Computational experiments are conducted to compare with four ALT plans including two proposed ones under continuous and intermittent inspections over a range of parameter values in terms of asymptotic variance, sensitivities for guessed input values, and proportion of estimable samples, etc. The small and moderate sample properties for the proposed ALT plans designed under asymptotic criterion are also investigated by Monte Carlo simulation.

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Analyzing Clustered and Interval-Censored Data based on the Semiparametric Frailty Model

  • Kim, Jin-Heum;Kim, Youn-Nam
    • The Korean Journal of Applied Statistics
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    • v.25 no.5
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    • pp.707-718
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    • 2012
  • We propose a semi-parametric model to analyze clustered and interval-censored data; in addition, we plugged-in a gamma frailty to the model to measure the association of members within the same cluster. We propose an estimation procedure based on EM algorithm. Simulation results showed that our estimation procedure may result in unbiased estimates. The standard error is smaller than expected and provides conservative results to estimate the coverage rate; however, this trend gradually disappeared as the number of members in the same cluster increased. In addition, our proposed method was illustrated with data taken from diabetic retinopathy studies to evaluate the effectiveness of laser photocoagulation in delaying or preventing the onset of blindness in individuals with diabetic retinopathy.

Estimation of Freund Model for System Level Life Testing Using Component Life Data (체계수명시험에서 얻어진 부품의 수명자료를 이용한 Freund 모형의 추정)

  • 홍연웅
    • Journal of Korean Society for Quality Management
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    • v.26 no.2
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    • pp.27-38
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    • 1998
  • Consider a life testing experiment in which multiple two-component shared parallel systems are put on test, and the test is terminated at a specified number of system failures. The bivariate data obtained from such a system-level life testing can be classified into three classes: 1) the case of failed two components with known failure times, 2) the case of censored two components, and 3) the case of one censored component and the other failed component of which the failure time might be known or unknown. Under this censoring scheme and the assumption of Freund's bivariate exponential life distribution, the maximum likelihood estimators are obtained. Results of comparative studies based on Monte Carlo simulation are presented.

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