日期精度：到日 2 篇 · 到月 5 篇 · 到年 4 篇
评估多元正态性的一类不变程序
Distribution theory pertaining to a class of invariant procedures for assessing multivariate normality is described. A Cramér-von Mises type statistic belonging to this class is investigated in greater detail: its asymptotie distribution is tabulated and compared with a Monte Carlo simulation of its finite sample distribution, and a set of quadrivariate data is examined with it.
一类评估多元正态性的不变程序
Distribution theory pertaining to a class of invariant procedures for assessing multivariate normality is described. A Cramér-von Mises type statistic belonging to this class is investigated in greater detail: its asymptotie distribution is tabulated and compared with a Monte Carlo simulation of its finite sample distribution, and a set of quadrivariate data is examined with it.
用于对称性检验的 Cramér–von Mises 型统计量
A Cramér-von Mises-type statistic for testing symmetry, proposed independently by Orlov (1972) and Rothman and Woodroofe (1972), is decomposed into components in the manner of Durbin and Knott (1972); the components are found to be related to Fourier series expansions of the underlying distribution function. Asymptotic power properties of the statistic and its components in testing symmetry about the origin against location shift alternatives when observations have double…
随机删失数据的拟合优度检验
Versions of the Kolmogorov-Smirnov, Kuiper and Cramér-von Mises statistics are introduced for the problem of assessing goodness of fit with randomly censored data. A Monte Carlo study of the adequacy of their asymptotic distributions in finite samples and their powers against specified alternatives is reported.
基于修正 Savage 统计量的两生存分布相等性序贯检验
Sequential procedures based on the modified Savage statistic are proposed for testing the equality of two survival distributions when observations are singly censored. Asymptotic properties, including expected sample sizes and power against contiguous exponential scale shift alternatives, are examined. Comparison is made with procedures based on a modified Mantel-Haenszel statistic (Muenz, Green & Byar, 1977).
用修正 Savage 统计量序贯检验两个生存分布相等
Sequential procedures based on the modified Savage statistic are proposed for testing the equality of two survival distributions when observations are singly censored. Asymptotic properties, including expected sample sizes and power against contiguous exponential scale shift alternatives, are examined. Comparison is made with procedures based on a modified Mantel-Haenszel statistic (Muenz, Green & Byar, 1977).
K 样本线性秩统计量两种排序方法的渐近等价性
Two methods of ranking $K$ samples for rank tests comparing $K$ populations are considered. The first method ranks the $K$ samples jointly; the second ranks the $K$ samples pairwise. These procedures were first suggested by Dunn (1964), and Steel (1960), respectively. It is shown that both ranking procedures are asymptotically equivalent for rank-sum tests satisfying certain nonrestrictive conditions. The problem is formulated in terms of multiple comparisons, but is…
Summary In a review of tests based on spacings, Pyke (1965) constructs an empirical distribution function of uniform spacings, and suggests that goodness of fit problems could be investigated with Kolmogorov–Smirnov and Cramér–von Mises type statistics when applied to this empirical distribution function, were the appropriate exact or asymptotic critical values available. It is shown in this note that the limiting distributions of these statistics are indeed available, but…
随机删失数据的 Cramér–von Mises 统计量
The asymptotic distributions of camér-von Mises type statistics based on the productlimit estimate of the distribution function of a certain class of randomly censored observations are derived; the asymptotic significance points of the statistics for various degrees of censoring are given. The statistics are also partitioned into orthogonal components in the manner of Durbin & Knott (1972). The asymptotic powers of the statistics and their components against normal mean and…