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综合可靠性的概念及其层级贝叶斯估计AI 解读

In this article we introduce the notion of “composite reliability” as a measure of the overall reliability of a collection of heterogeneous but similar items. We then propose a hierarchical Bayes model for estimating the composite reliability of systems whose lifelengths are expressed as binary random variables. Subsequently, we develop an alternative approach for the simultaneous inference about many small but related binomial parameters. We propose a two-stage prior for…

融入专家知识的泊松点过程推断与预测AI 解读

We present a Bayesian approach for inference and predictions from nonhomogeneous Poisson point processes. The novel feature of our approach is the use of “expert knowledge” or “engineering information” on the mean value function of the process. We describe two scenarios from the field of reliability in which engineering information on the mean value function is available. The first scenario pertains to the prediction of software failures during the debugging phase. Here…

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跟踪软件可靠性增长的非齐次自回归过程及贝叶斯分析AI 解读

SUMMARY We motivate a non-homogeneous autoregressive process as a model for reliability growth and consider two formulations, both Bayesian, which alleviate a limitation that least squares estimators for such processes of order greater than 1 exist only when repeated measurements of the time series are available. In one formulation, the prior assumption involves exchangeability of coefficients, whereas in the other an autoregressive structure is imposed on them. Both…

卡尔曼滤波模型的稳健化AI 解读

Kalman filter models based on the assumption of multivariate Gaussian distributions are known to be nonrobust. This means that when a large discrepancy arises between the prior distribution and the observed data, the posterior distribution becomes an unrealistic compromise between the two. In this article we discuss a rationale for how to robustify the Kalman filter. Specifically, we develop a model wherein the posterior distribution will revert to the prior when extreme…

结合专家意见与生存数据的交互式个人电脑可靠性评估AI 解读

In this article I present a new approach for the analysis of life-length data that can be described by a Weibull distribution. The novel feature of my approach pertains to the incorporation of informed judgment or expert opinion into the analysis, using a personal computer in an interactive and user-friendly manner. This approach also provides for incorporating the analyst's opinions on the expertise of the experts. Many of the analyses result in graphical displays, making…

结合专家意见与生存数据的交互式可靠性评估AI 解读

In this article I present a new approach for the analysis of life-length data that can be described by a Weibull distribution. The novel feature of my approach pertains to the incorporation of informed judgment or expert opinion into the analysis, using a personal computer in an interactive and user-friendly manner. This approach also provides for incorporating the analyst's opinions on the expertise of the experts. Many of the analyses result in graphical displays, making…

利用有色噪声下的滤波进行加速寿命试验推断AI 解读

SUMMARY We present a new approach for inference from accelerated life tests. Our approach formulates such problems as inference under Kalman filter models with correlated observation errors. We restrict attention to exponential life distributions, and the power rule as a time transformation function. Extensions to other time transformation functions are straightforward; however, extensions to other distributions involve nonlinear filtering and are not considered. The…

失效率函数的核估计与密度估计：一种类比AI 解读

In this article we explore methods by which the rate of convergence of the bias and the mean squared error of kernel estimators of the failure-rate function can be improved. We show that if the kernel is not restricted to be nonnegative and is suitably chosen, then the bias contribution to the asymptotic mean squared error can be eliminated to any required order, and the rate of convergence of the asymptotic mean squared error can be brought as close to n −1 as is desired.…

加速寿命试验中的分布假设检验AI 解读

In this paper we consider the problem of inference from accelerated life tests in which a common parametric family of life distributions at the different stress levels is not specified in advance. By assuming a time transformation function, which is a version of the familiar inverse power law, we give a procedure for testing hypotheses that the unknown distributions are specified members of a location-scale family. The behavior of the test procedure is indicated by some…

基于朴素估计量的失效率函数大样本估计与一致置信带AI 解读

In this paper we consider a naive estimator of the failure rate function and smooth it using any band-limited window. We show that this smoothed estimate is equivalent to estimates obtainable from the sample hazard function, as in Rice and Rosenblatt (1976). We obtain the asymptotic distribution of the global deviation of the smoothed estimate from the failure rate function, which can then be used to construct uniform confidence bands.

可靠性与寿命数据的统计分析方法AI 解读

Methods for statistical analysis of reliability and life data , Methods for statistical analysis of reliability and life data , کتابخانه‌های دانشگاه کردستان

递增失效率分布中次序统计量函数的若干不等式AI 解读

We consider functions which are the sum of the k largest order statistics in a sample of size n from a continuous distribution F, minus nh, where h is a specified constant. We prove that such functions are concave in n. If F is an exponential distribution, then for a fixed k we obtain that value of n which maximizes the expected value of the function defined above. For F IFR we obtain an upper bound on n and also an upper bound on the maximum of the expected value of the…

递增失效率分布下次序统计量函数的若干不等式AI 解读

We consider functions which are the sum of the k largest order statistics in a sample of size n from a continuous distribution F, minus nh, where h is a specified constant. We prove that such functions are concave in n. If F is an exponential distribution, then for a fixed k we obtain that value of n which maximizes the expected value of the function defined above. For F IFR we obtain an upper bound on n and also an upper bound on the maximum of the expected value of the…

加速寿命试验中的一个估计问题AI 解读

Parameters of the Power Rule Model are estimated using data from censored sample life tests conducted at accelerated environments. By amending the functional form of the model, it is possible to obtain estimators that are asymptotically independent. The asymptotic normality of these estimators is ascertained by examining the shapes of their relative likelihood functions. Approximate confidence intervals, and an exact plausibility interval for the mean life (exponential case)…