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模块化非参数子生存估计AI 解读

This article describes new methods for estimating survival distributions based on nonparametric curve estimators. One approach improves the estimation of long-term survival rates. Simulation studies using Weibull and lognormal data show that even in the case found to be least favorable, the new method has less than one-seventh the prediction error of all conventional life-table (LT) or Kaplan–Meier (KM) estimators, even when the LT and KM techniques are optimized for the…

模块化非参数子生存分布估计AI 解读

This article describes new methods for estimating survival distributions based on nonparametric curve estimators. One approach improves the estimation of long-term survival rates. Simulation studies using Weibull and lognormal data show that even in the case found to be least favorable, the new method has less than one-seventh the prediction error of all conventional life-table (LT) or Kaplan–Meier (KM) estimators, even when the LT and KM techniques are optimized for the…

以平均积分平方误差为准则的抽样AI 解读

Stratified sampling is considered, where (a) the mean integrated squared error (MISE) metric is used in place of the mean squared error (MSE) metric; (b) the entire distribution [i.e., f(x)], rather than a property of the distribution [e.g., E(x)], is used as a target of the procedure; (c) the distribution f(x) is estimated by a truncated series (to counterbalance model complexity with sample size availability); and finally, (d) samples are taken both with and without…

基于平均积分平方误差的抽样AI 解读

Stratified sampling is considered, where (a) the mean integrated squared error (MISE) metric is used in place of the mean squared error (MSE) metric; (b) the entire distribution [i.e., f(x)], rather than a property of the distribution [e.g., E(x)], is used as a target of the procedure; (c) the distribution f(x) is estimated by a truncated series (to counterbalance model complexity with sample size availability); and finally, (d) samples are taken both with and without…

三角矩最大似然估计及不完整生存信息分析AI 解读

A procedure is derived for computing maximum likelihood estimates from the sample trigonometric moments. Several examples are given which demonstrate the convenience of this hybrid approach. The Zippin-Armitage method for dealing with incomplete survival information is generalized. A simple expression is obtained for the survival curve given nonparametric estimators of (1) the probability density of survival times for patients who have died, and (2) the probability density…

三角矩极大似然估计及其在不完整生存信息中的应用AI 解读

A procedure is derived for computing maximum likelihood estimates from the sample trigonometric moments. Several examples are given which demonstrate the convenience of this hybrid approach. The Zippin-Armitage method for dealing with incomplete survival information is generalized. A simple expression is obtained for the survival curve given nonparametric estimators of (1) the probability density of survival times for patients who have died, and (2) the probability density…

坐标正态化变换与正态理论独立性检验的功效AI 解读

This paper considers properties of the normal theory test for independence applied to observations from bivariate distributions constrained to have normal marginals. Coordinate transformations to normality are applied to a variety of non-normal distributions (X, Y) and it is found that the normal theory test for independence is more powerful when applied to the transformed vector than when (X, Y) is used. The general transformation of an arbitrary continuous variate to…

坐标正态化变换与正态理论独立性检验的功效AI 解读

This paper considers properties of the normal theory test for independence applied to observations from bivariate distributions constrained to have normal marginals. Coordinate transformations to normality are applied to a variety of non-normal distributions (X, Y) and it is found that the normal theory test for independence is more powerful when applied to the transformed vector than when (X, Y) is used. The general transformation of an arbitrary continuous variate to…

截断 Logistic 分布次序统计量的精确矩与乘积矩AI 解读

The order statistics of an arbitrary size random sample of variates which originate from a logistic distribution with an arbitrary degree of truncation, both one-sided and two-sided, are considered. A general expression for the product moments of the order statistics in the onesided truncation case is derived by application of a formula obtained from the Euler Transformation. A generalization of this formula is used to obtain an expression for the product moments of the…