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題名 Comparison of renewal function estimators for censored data
作者 唐揆
Schneider, H.;Lin, B.S.;Tang, Kwei
貢獻者 企管系
關鍵詞 Nonparametric estimator; Renewal Function; Estimation; Random Censoring; Warranty Analysis; Reliability; Weibull Distribution; Gamma Distribution
日期 1992
上傳時間 24-Aug-2016 17:23:54 (UTC+8)
摘要 The computation of the renewal function when the distribution function is completely known has received much attention in the literature. However, in many cases the form of the distribution function is unknown and has to be estimated nonparametrically. A nonparametric estimator for the renewal function for complete data was suggested by Frees (1986). In many cases, however, censoring of the lifetime might occur. We shall present parametric and nonparametric estimators of the renewal function based on censored data. In a simulation study we compare the nonparametric estimators with parametric estimators for the Weibull and lognormal distribution. The study suggests that the nonparametric estimator is a viable alternative to the parametric estimators when the lifetime distribution is unknown. Also, the nonparametric estimator is computationally simpler than the parametric estimator.
關聯 Journal of Statistical Computation and Simulation, 42, 125-135
資料類型 article
DOI http://dx.doi.org/10.1080/00949659208811416
dc.contributor 企管系
dc.creator (作者) 唐揆zh_TW
dc.creator (作者) Schneider, H.;Lin, B.S.;Tang, Kwei
dc.date (日期) 1992
dc.date.accessioned 24-Aug-2016 17:23:54 (UTC+8)-
dc.date.available 24-Aug-2016 17:23:54 (UTC+8)-
dc.date.issued (上傳時間) 24-Aug-2016 17:23:54 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/100720-
dc.description.abstract (摘要) The computation of the renewal function when the distribution function is completely known has received much attention in the literature. However, in many cases the form of the distribution function is unknown and has to be estimated nonparametrically. A nonparametric estimator for the renewal function for complete data was suggested by Frees (1986). In many cases, however, censoring of the lifetime might occur. We shall present parametric and nonparametric estimators of the renewal function based on censored data. In a simulation study we compare the nonparametric estimators with parametric estimators for the Weibull and lognormal distribution. The study suggests that the nonparametric estimator is a viable alternative to the parametric estimators when the lifetime distribution is unknown. Also, the nonparametric estimator is computationally simpler than the parametric estimator.
dc.format.extent 124 bytes-
dc.format.mimetype text/html-
dc.relation (關聯) Journal of Statistical Computation and Simulation, 42, 125-135
dc.subject (關鍵詞) Nonparametric estimator; Renewal Function; Estimation; Random Censoring; Warranty Analysis; Reliability; Weibull Distribution; Gamma Distribution
dc.title (題名) Comparison of renewal function estimators for censored data
dc.type (資料類型) article
dc.identifier.doi (DOI) 10.1080/00949659208811416
dc.doi.uri (DOI) http://dx.doi.org/10.1080/00949659208811416