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Local parametric sensitivity for mixture models of lifetime distributions

机译:寿命分布混合模型的局部参数敏感性

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摘要

Mixture models are receiving considerable significance in the last years. Practical situations in reliability and survival analysis may be addressed by using mixture models. When making inferences on them, besides the estimates of the parameters, a sensitivity analysis is necessary. In this paper, a general technique to estimate local prior sensitivities in finite mixtures of distributions from natural exponential families having quadratic variance function (NEF-QVF) is proposed. Those families include some distributions of wide use in reliability theory. An advantage of this method is that it allows a direct implementation of the sensitivity measure estimates and their errors. In addition, the samples that are drawn to estimate the parameters in the mixture model are re-used to estimate the sensitivity measures and their errors. An illustrative application based on insulating fluid failure data is shown.
机译:混合模型在最近几年中具有重要意义。可靠性和生存分析中的实际情况可以通过使用混合模型来解决。在对它们进行推论时,除了参数的估计之外,还需要进行敏感性分析。本文提出了一种从具有二次方差函数的自然指数族(NEF-QVF)估计有限混合分布中局部先验灵敏度的通用技术。这些族包括可靠性理论中广泛使用的一些分布。该方法的优点在于,它可以直接实施灵敏度度量估计及其误差。另外,为估计混合模型中的参数而绘制的样本被重新用于估计灵敏度度量及其误差。示出了基于绝缘流体故障数据的说明性应用。

著录项

  • 来源
    《Reliability Engineering & System Safety》 |2009年第7期|1238-1244|共7页
  • 作者

    M.J. Rufo; C.J. Perez; J. Martin;

  • 作者单位

    Department of Mathematics, Escuela Politecnica, University of Extremadura, Avda. de la Universidad s, 10071 Caceres, Spain;

    Department of Mathematics, Escuela Politecnica, University of Extremadura, Avda. de la Universidad s, 10071 Caceres, Spain;

    Department of Mathematics, Escuela Politecnica, University of Extremadura, Avda. de la Universidad s, 10071 Caceres, Spain;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    bayesian inference; finite mixture; MCMC; natural exponential family; parametric sensitivity;

    机译:贝叶斯推理有限混合MCMC;自然指数族;参数灵敏度;

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