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单调平均剩余寿命的估计AI 解读

In survival analysis and in the analysis of life tables an important biometric function of interest is the life expectancy at age $x, M(x)$, defined by $$M(x) = E[X - x|X > x],$$ where $X$ is a lifetime. $M$ is called the mean residual life function.In many applications it is reasonable to assume that $M$ is decreasing (DMRL) or increasing (IMRL); we write decreasing (increasing) for nonincreasing (non-decreasing). There is some literature on empirical estimators of $M$ and…

比较累积发生函数与原因别风险率的若干检验AI 解读

We consider the competing risks problem with the available data in the form of times and causes of failure. In many practical situations (e.g., in reliability testing) it is important to know whether two risks are equal or whether one is “more serious” than the other. We propose some distribution-free tests for comparing cumulative incidence functions and cause-specific hazard rates against ordered alternatives without making any assumptions on the nature of dependence…

两个连续分布函数交叉点的统计推断AI 解读

Let $\mathscr{F}$ denote the set of cdf's on $\mathbb{R}$ with density everywhere positive. Let $C_A = \{(F,G) \in \mathscr{F} \times \mathscr{F}$: there exists a unique $x^\ast \in \mathbb{R}$ such that $F(x) > G(x) \text{for} x << x^\ast \text{and} F(x) < G(x) \text{for} x > x^\ast\}, C_B - \{(F,G) \in \mathscr{F} \times \mathscr{F}: (G,F) \in C_A\}$. Based on independent random samples from $F$ and $G$ (assumed unknown), we give distribution-free tests of $H_0: F = G$ vers…

可靠性与寿命模型中的参数估计AI 解读

Offers an applications-oriented treatment of parameter estimation from both complete and censored samples; contains notations, simplified formats for estimates, graphical techniques, and numerous tables and charts allowing users to calculate estimates and analyze sample data quickly and easily. Anno

检验独立性对正象限依赖：Kendall tau 检验的竞争方法AI 解读

A class of distribution-free tests has been proposed for testing independence against positive quadrant dependence. The Kendall-tau test belongs to this class and the newly proposed tests are seen to be quite efficient.

针对正象限依赖备择的 Kendall τ 独立性检验替代方法AI 解读

A class of distribution-free tests has been proposed for testing independence against positive quadrant dependence. The Kendall-tau test belongs to this class and the newly proposed tests are seen to be quite efficient.

依据危险率比较两个概率分布的分布无关检验AI 解读

Let F(x) and G(x) be the absolutely continuous distribution functions of two life distributions with rF(x) and rG(x) as their respective hazard rates. In the class of increasing failure rate distributions, one-sided scale as well as one-sided location alternatives imply that one hazard rate is uniformly smaller than the other. A new distribution-free test for testing H0 : rF(x) = rG(x) against HA: rF(x) ≤ rG(x) has been proposed. The test is seen to possess robust asymptotic…

基于风险率的两个概率分布的分布无关比较AI 解读

S-UMMARY Let F(x) and G(x) be the absolutely continuous distribution functions of two life distributions with rF(x) and rG(x) as their respective hazard rates. In the class of increasing failure rate distributions, one-sided scale as well as one-sided location alternatives imply that one hazard rate is uniformly smaller than the other. A new distribution-free test for testing Ho: rF(x) = rG(x) against HA: rF(x) < rG(x) has been proposed. The test is seen to possess robust…