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Lifetime Estimation of Defective Products from the Imaginal Mixture of Defective and Non-defective Products: The Trunsored Data Model

http://hdl.handle.net/10228/5322
http://hdl.handle.net/10228/5322
fb637d12-8c52-439b-bb41-433912f8c05d
名前 / ファイル ライセンス アクション
csse-10.pdf csse-10.pdf (72.7 kB)
Item type テクニカルレポート = Technical Report(1)
公開日 2015-01-08
資源タイプ
資源タイプ識別子 http://purl.org/coar/resource_type/c_18gh
資源タイプ technical report
タイトル
タイトル Lifetime Estimation of Defective Products from the Imaginal Mixture of Defective and Non-defective Products: The Trunsored Data Model
言語 en
言語
言語 eng
著者 廣瀬, 英雄

× 廣瀬, 英雄

en Hirose, Hideo

ja 廣瀬, 英雄

ja-Kana ヒロセ, ヒデオ


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抄録
内容記述タイプ Abstract
内容記述 In solving the lifetime estimation problem of defective products using samples of size N from a mixture of defective and non-defective products, a new method of estimating the parameters of the underlying distribution function is proposed. We suppose that the ratio of the defective products to the non-defective products is unknown. The proposed method is to use an imaginal mixture model in which the non-defective products will never fail by the prescribed time T.If the non-defective products are dominant in the mixture, we can obtain the maximum likelihood estimates by dealing with the observed samples as truncated data with a conditional likelihood. If the defective products are dominant, we can no longer use the truncated data approach because the estimated sample size could end up being larger than N in which case the non-defective products would be empty. The imaginal mixture model, however, can estimate the parameters in either case.In addition, this model can test whether the non-defective products are empty or not because the likelihood functions for both the cases are of the same kind, whereas we cannot use the likelihood ratio test directly by using the likelihoods from the truncated model and the censored model due to the different kinds of likelihood. Thus, we call this versatile model which can be used for both the truncated and censored data models the trunsored data model. If it is not rejected that nondefective products are empty, we can regard the sampled data as censored, and can obtain smaller confidence intervals of the estimates of the parameters than those obtained by the trunsored model.After the introduction of this new mixture model, we apply it to the actual field data, and show how the proposed method works.
言語 en
書誌情報 en : Technical Report in Computer Science and Systems Engineering

p. 1-8, 発行日 2000-08-02
出版社
出版者 九州工業大学
言語 ja
ISSN
収録物識別子タイプ PISSN
収録物識別子 1344-8803
キーワード
主題Scheme Other
主題 Truncated data
キーワード
主題Scheme Other
主題 Censored data
キーワード
主題Scheme Other
主題 Trunsored data
キーワード
主題Scheme Other
主題 Imaginal mixture model
キーワード
主題Scheme Other
主題 Durable population
キーワード
主題Scheme Other
主題 Fragile population
キーワード
主題Scheme Other
主題 Weibull distribution
キーワード
主題Scheme Other
主題 Likelihood ratio test
出版タイプ
出版タイプ VoR
出版タイプResource http://purl.org/coar/version/c_970fb48d4fbd8a85
テクニカルレポートNo.
CSSE-10
連携ID
5044
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