• Title/Summary/Keyword: Censoring

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Type-II stepwise progressive censoring

  • Bayat, Mohammad;Torabi, Hamzeh
    • Communications for Statistical Applications and Methods
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    • v.23 no.1
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    • pp.57-70
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    • 2016
  • Type-II progressive censoring is one of the censoring methods frequently used in clinical studies, reliability trials, quality control of products and industrial experiments. Sometimes in Type-II progressive censoring experiments, the failure rate is low so the waiting time to observe the $m^{th}$ failure will be very long; however, the experimenter may have to terminate the experiment before a predetermined time. In this article, if two generalized types of Type-II progressive censoring are reminded, we then make some changes in the removal method of Type-II progressive censoring such that without reducing the deduction quality, the termination time of the experiment decreases. This can be done with decreasing withdraws throughout the steps of the experiment with a special reasonable method. A simulation study is done and the results are tabulated at the end of this article for a comparison between introduced method and Type-II progressive censoring.

Accelerated life test plans with optimum censoring time (최적 관측중단시간을 고려한 가속수명시험 설계)

  • 강창원;강창욱
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.19 no.40
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    • pp.179-186
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    • 1996
  • Previous researches on optimum ALT plans have shown how to find optimum allocation, lowest stress and sample size subject to minimizing the variance of mean life estimate. Those researches have assumed the censoring time constant. But under certain circumstances such assumptions may not be reasonable. In this paper the constraint on constant censoring time is relaxed, and censoring time is considered variable. If all other test parameters remain unvaried, the variance of the mean life estimate reciprocally increases of the censoring time. This idea in this paper extends to the optimum censoring time. Thus, this paper presents the optimal censoring time in such situations, and finds the optimal lowest stress and allocation based on that optimal censoring time.

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Information Loss from Type I versus Type II Censoring

  • Lim, Jo-Han;Song, Hyun-Seok;Lee, Sung-Im
    • Communications for Statistical Applications and Methods
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    • v.13 no.2
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    • pp.441-448
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    • 2006
  • If the completely observed data are assumed to have full information, the censoring causes the loss of information. Previous studies have introduced the indices of information loss via measuring relative changes between the data with censoring and without censoring. In this paper, the comparisons are made for the information loss between type I and type II censoring in two sample problems.

Comparisons of Acceptance Sampling Plans for the Exponential Lifetime Distribution

  • Jeong, Hyun-Seok;Yum, Bong-Jin
    • Journal of the Korean Statistical Society
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    • v.23 no.2
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    • pp.421-444
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    • 1994
  • Reliability acceptance sampling is concerned with whether to accept or reject a collection of items based upon the information obtained from life testing. Although various reliability acceptance sampling plans have been developed, little is known about their relatvie performances. This paper compares reliability acceptance sampling plans under Type II censoring, Hybrid censoring, and Time-Truncated Type II censoring assuming that the lifetimes of items in a lot follow an exponential distribution. The three plans are compared in terms of the power, the expected number of failures, and the expected time required to reach a decision. Computational experiments are conducted and the results are tabulated to provide guidelines for selecting an appropriate plan for a given situation.

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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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On the maximum likelihood estimators for parameters of a Weibull distribution under random censoring

  • Kim, Namhyun
    • Communications for Statistical Applications and Methods
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    • v.23 no.3
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    • pp.241-250
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    • 2016
  • In this paper, we consider statistical inferences on the estimation of the parameters of a Weibull distribution when data are randomly censored. Maximum likelihood estimators (MLEs) and approximate MLEs are derived to estimate the parameters. We consider two cases for the censoring model: the assumption that the censoring distribution does not involve any parameters of interest and a censoring distribution that follows a Weibull distribution. A simulation study is conducted to compare the performances of the estimators. The result shows that the MLEs and the approximate MLEs are similar in terms of biases and mean square errors; in addition, the assumption of the censoring model has a strong influence on the estimation of scale parameter.

Bayesian estimation for the exponential distribution based on generalized multiply Type-II hybrid censoring

  • Jeon, Young Eun;Kang, Suk-Bok
    • Communications for Statistical Applications and Methods
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    • v.27 no.4
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    • pp.413-430
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    • 2020
  • The multiply Type-II hybrid censoring scheme is disadvantaged by an experiment time that is too long. To overcome this limitation, we propose a generalized multiply Type-II hybrid censoring scheme. Some estimators of the scale parameter of the exponential distribution are derived under a generalized multiply Type-II hybrid censoring scheme. First, the maximum likelihood estimator of the scale parameter of the exponential distribution is obtained under the proposed censoring scheme. Second, we obtain the Bayes estimators under different loss functions with a noninformative prior and an informative prior. We approximate the Bayes estimators by Lindleys approximation and the Tierney-Kadane method since the posterior distributions obtained by the two priors are complicated. In addition, the Bayes estimators are obtained by using the Markov Chain Monte Carlo samples. Finally, all proposed estimators are compared in the sense of the mean squared error through the Monte Carlo simulation and applied to real data.

Association measure of doubly interval censored data using a Kendall's 𝜏 estimator

  • Kang, Seo-Hyun;Kim, Yang-Jin
    • Communications for Statistical Applications and Methods
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    • v.28 no.2
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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.

Frequency Domain Partially Adaptive Array Algorithm Combined with CFAR Technique (CFAR 검파기법을 이용한 주파수 영역 부분적응 어레이 알고리듬)

  • Mun, Seong-Hun;Han, Dong-Seok
    • Journal of the Institute of Electronics Engineers of Korea SP
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    • v.38 no.2
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    • pp.227-236
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    • 2001
  • This paper proposes a frequency-domain partially adaptive algorithm, called a censoring algorithm, to reduce the computational complexity of the frequency domain adaptive array. The proposed censoring algorithm determines the existence of interferences in the frequency-domain at each frequency bin using a constant false alarm rate (CFAR) processor. The censoring algorithm adapts only those parts of the weights that correspond to the frequency bins expected to contain interferences. The censoring algorithm is also expanded to overcome the signal cancellation phenomenon caused by smart jammers. Accordingly, a censoring spatial smoothing, which combines the censoring algorithm with spatial smoothing, is proposed. Simulation results show that the proposed algorithms are effective in removing interferences with only part of the computational complexity of conventional algorithms yet with the same level of performance.

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A Study of Test for the Reliability of Weibull Distribution Using Hybrid Censoring (혼합중도중단에 의한 Weibull분포의 신뢰도에 관한 검정의 연구)

  • Yeom, Jun-Geun;Ham, Hyeong-Beom
    • Journal of Korean Society for Quality Management
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    • v.20 no.1
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    • pp.48-58
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    • 1992
  • This paper deals with a test procedures on reliablity using hybrid censoring when failure time follows two parameter Weibull distribution. In each case of single and two stage test with hybrid censoring, we construct a operating characteristic curve, and then obtain the censoring number and sample size which the producer's risk and the consumer's risk are both satisfied. This study suggests to determine the expected waiting time at a decision.

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