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一般维修模型的非参数估计AI 解读

The construction and analysis of repair models is an important area in reliability. A commonly used model is the minimal repair model. Under this model, repair restores the state of the system to its level prior to failure. Kijima introduced repair models that could be classified as "better-than-minimal." Under Kijima's models, the system, upon repair, is functionally the same as a working system of lesser age which has never experienced failure. In this paper, we present a…

马尔可夫链模拟方法的收敛性AI 解读

The Markov chain simulation method has been successfully used in many problems, including some that arise in Bayesian statistics. We give a self-contained proof of the convergence of this method in general state spaces under conditions that are easy to verify.

统计学大样本方法：导论与应用AI 解读

This text bridges the gap between sound theoretcial developments and practical, fruitful methodology by providing solid justification for standard symptotic statistical methods. It contains a unified survey of standard large sample theory and provides access to more complex statistical models that arise in diverse practical applications.

不完全修复模型中最小修复假设的检验AI 解读

Models assuming minimal repair specify that on repair, a failed system is returned to the working state, while the effective age of the system is held constant; that is, the distribution of the time until the next failure of the repaired system is the same as for a system of the same age that has not yet failed. These models are common in the literature of operations research and reliability, and many probabilistic results as well as inferential procedures depend on the…

不完全修复模型的非参数方法AI 解读

In the age-dependent minimal repair model of Block, Borges and Savits (BBS), a system failing at age $t$ undergoes one of two types of repair. With probability $p(t)$, a perfect repair is performed and the system is returned to the "good-as-new" state, while with probability $1 - p(t)$, a minimal repair is performed and the system is repaired, but is only as good as a working system of age $t$. Whitaker and Samaniego propose an estimator for the system life distribution $F$ w…

不存在无偏估计时降低偏差的代价AI 解读

Let $\phi$ be a parameter for which there is no unbiased estimator. This note shows that for an arbitrary sequence of estimators $T^{(k)}$, if the biases of $T^{(k)}$ tend to 0 then their variances must tend to $\infty$.

检验两组评判者之间的排序一致性AI 解读

The ‘problem of m rankings’, so named by M. G. Kendall and studied extensively by Kendall & Babington Smith (1939), Kendall (1970) and others, considers the relationship between the rankings that a group of m judges assigns to a set of k objects. Suppose that there are two groups of judges ranking the objects. Given that there is agreement within each group of judges, how can one test for evidence of agreement between the two groups ? Schucany & Frawley (1973) proposed a…