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生存时间研究的简单回归方法AI 解读

Given a set of grouped survival data, least squares estimates are proposed for the parameters of four survival distributions that can be fit: exponential, linear hazard, Gompertz and Weibull. Sample estimates of the hazard function are utilized in the least squares procedures and a method is given for selecting a distribution for further investigation based on the likelihood under the four survival models. A Monte Carlo study demonstrated that the least squares estimates are…

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多元分布中线性次序统计量的渐近联合分布AI 解读

The asymptotic joint distribution of an arbitrary number of linear systematic statistics (that is, linear combinations of order statistics), when observations are made on a random vector, is shown to be normal under fairly general conditions. The linear systematic statistics may correspond to the same or to different components of the vector. Formulas for evaluating the parameters of the asymptotic normal distribution are derived. As an illustration, these are applied to the…

多元分布中线性次序统计量的渐近联合分布AI 解读

The asymptotic joint distribution of an arbitrary number of linear systematic statistics (that is, linear combinations of order statistics), when observations are made on a random vector, is shown to be normal under fairly general conditions. The linear systematic statistics may correspond to the same or to different components of the vector. Formulas for evaluating the parameters of the asymptotic normal distribution are derived. As an illustration, these are applied to the…

位置参数的渐近稳健估计量AI 解读

The robustness properties of four estimators of location are studied with respect to eight distribution types. For each type, the probability density function is symmetric about the median and the range of variate is infinite. For the entire class of distributions, the estimator with the highest guaranteed efficiency is the mean of the middle fifty percent of the sample. This study supplements the paper by Crow and Siddiqui (1967).

位置参数的稳健估计AI 解读

The problem of estimating a location parameter from a random sample when the form of distribution is unknown or there is contamination of the target distribution is attacked by deriving estimators which are efficient over a class of two or more forms (“pencils”) of continuous symmetric unimodal distributions. The pencils considered are the normal, double exponential, Cauchy, parabolic, triangular, and rectangular (a limiting case). The estimators considered are special…

二元响应独立性的组合检验AI 解读

Dealt with in this paper is the analysis of phenomena involving simultaneous responses among members of small groups during a finite number of discrete time intervals. An exact combinatorial test obtained by conditioning on the sufficient statistics under a null hypothesis is proposed. A specific application of this test is given for the analysis of asthma attack data of asthmatic individuals.

二值响应独立性的组合检验AI 解读

Dealt with in this paper is the analysis of phenomena involving simultaneous responses among members of small groups during a finite number of discrete time intervals. An exact combinatorial test obtained by conditioning on the sufficient statistics under a null hypothesis is proposed. A specific application of this test is given for the analysis of asthma attack data of asthmatic individuals.