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摘要翻译：
为产品的寿命确定一个适当的保修长度是制造商的一个重要问题。本文基于II型统一混合删失数据，计算了产品在免费更换和按比例保修两种情况下的最优保修长度。在此背景下，提出了一种非线性按比例保修政策。最优保修长度是通过最大化一个期望效用函数得到的。对失效时间数据的后验预测模型进行期望。研究发现，与线性保修政策相比，非线性按比例保修政策具有更大的保修长度和最大利润。最后，通过对一个实际数据集的分析，说明了采用非线性按比例保修策略的优越性。
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英文标题：
《Determination of Bayesian optimal warranty length under Type-II unified
hybrid censoring scheme》
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作者：
Tanmay Sen, Ritwik Bhattacharya, Biswabrata Pradhan and Yogesh Mani
Tripathi
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最新提交年份：
2020
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分类信息：
一级分类：Economics 经济学
二级分类：General Economics 一般经济学
分类描述：General methodological, applied, and empirical contributions to economics.
对经济学的一般方法、应用和经验贡献。
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一级分类：Quantitative Finance 数量金融学
二级分类：Economics 经济学
分类描述：q-fin.EC is an alias for econ.GN. Economics, including micro and macro economics, international economics, theory of the firm, labor economics, and other economic topics outside finance
q-fin.ec是econ.gn的别名。经济学，包括微观和宏观经济学、国际经济学、企业理论、劳动经济学和其他金融以外的经济专题
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一级分类：Statistics 统计学
二级分类：Computation 计算
分类描述：Algorithms, Simulation, Visualization
算法、模拟、可视化
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英文摘要：
Determination of an appropriate warranty length for the lifetime of the product is an important issue to the manufacturer. In this article, optimal warranty length of the product for the combined free replacement and the pro-rata warranty policy is computed based on the Type-II unified hybrid censored data. A non-linear pro-rata warranty policy is proposed in this context. The optimal warranty length is obtained by maximizing an expected utility function. The expectation is taken with respect to the posterior predictive model for the time-to-failure data. It is observed that the non-linear pro-rata warranty policy gives a larger warranty length with maximum profit as compared to linear warranty policy. Finally, a real-data set is analyzed in order to illustrate the advantage of using non-linear pro-rata warranty policy.
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PDF链接：
https://arxiv.org/pdf/2004.08533
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