论文检索

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.

两组评判者排序一致性的检验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…

受随机扰动与尺度因子影响的经验分布函数弱收敛AI 解读

The weak convergence of empirical distribution functions subject to random perturbations and scale factors to a Gaussian process is established. This result is used to study the efficiencies of tests based on spacings in goodness-of-fit problems.