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第二类删失下局部最强秩检验的统一处理AI 解读

For the derivation of locally most powerful (LMP) rank tests, a general method that encompasses a wide variety of testing problems and type II censoring schemes is formulated. Applications are illustrated in the context of the one-sample, two-sample, and regression problems. It is shown that the traditional derivations of the LMP rank tests are greatly simplified with the proposed method. The LMP criterion is also applied to some problems for which only ad hoc tests were…

删失数据两类线性秩方法之间的关系AI 解读

This paper gives a useful relationship between two popular classes of linear rank statistics for arbitrarily right censored data. The relationship allows a linear rank procedure with certain optimal properties to be transformed into the form of a procedure having established asymptotic properties under proportional hazards alternatives.

两个指数分布联合Ⅱ型删失样本的置信区间AI 解读

Strong consistency and asymptotic normality of the maximum likelihood estimators are established in the context of jointly type-II censored samples from two exponential populations. Large-sample confidence intervals are derived for the individual scale parameters as well as their ratio, and some applications to series and parallel systems are discussed. For the ratio of the scale parameters, an exact confidence procedure is developed on the basis of the failure counts in the…

两个指数分布联合Ⅱ型删失样本的置信区间AI 解读

Strong consistency and asymptotic normality of the maximum likelihood estimators are established in the context of jointly type-II censored samples from two exponential populations. Large-sample confidence intervals are derived for the individual scale parameters as well as their ratio, and some applications to series and parallel systems are discussed. For the ratio of the scale parameters, an exact confidence procedure is developed on the basis of the failure counts in the…

删失数据两类线性秩程序之间的关系AI 解读

This paper gives a useful relationship between two popular classes of linear rank statistics for arbitrarily right censored data. The relationship allows a linear rank procedure with certain optimal properties to be transformed into the form of a procedure having established asymptotic properties under proportional hazards alternatives.

联合第二类删失下两个指数分布的相等性检验AI 解读

The problem of testing equality of the scale parameters of two exponential distributions is considered under a combined sample type II censoring scheme that has been extensively treated in nonparametric inference. Sufficiency and invariance considerations lead to a pair of statistics, namely, the proportions of failure count and the total time on test of the first sample to those of the combined sample. Exact distribution and moment properties are discussed, and asymptotic…