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基于时间删失第 r 阶次序统计量的指数分布尺度估计AI 解读

The problem of estimating the mean of an exponential distribution is studied, when the data available are a random sample of time-censored rth-order statistics. Examples for such empirical situations are cited. Maximum likelihood estimators (MLE's) and moment-equation estimators (MEE's) are studied. Theoretical derivations are provided for the large sample variances and distributions of these estimators. The efficiency of the MEE compared to the MLE is studied.

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两个正态总体共同均值的固定宽度区间序贯设计：一个方差已知AI 解读

The objective is to provide a fixed-width interval estimator of the unknown common mean of two normal distributions having a prescribed coverage probability and minimal possible sample size. The variance of one distribution is known. The design problem is to decide sequentially while sampling the distribution with the unknown variance when to switch and sample from the distribution with the known variance. New types of boundaries are derived for this sequential design…

两正态分布公共均值的固定宽度区间估计序贯设计：一方差已知情形AI 解读

The objective is to provide a fixed-width interval estimator of the unknown common mean of two normal distributions having a prescribed coverage probability and minimal possible sample size. The variance of one distribution is known. The design problem is to decide sequentially while sampling the distribution with the unknown variance when to switch and sample from the distribution with the known variance. New types of boundaries are derived for this sequential design…

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有限总体抽样的最优设计：批判性综述与新研究方向AI 解读

The design of sampling from finite populations is receiving increased attention in the statistical literature. This article presents a critical review of past studies and new developments and outlines areas meriting further study and research. Bayesian and non-Bayesian approaches are analyzed but are not offered in a normative manner. Both points of view and the extent to which they provide differences in survey sample design are discussed and examined. These differences are…

有限总体抽样的最优设计：批判性综述与新研究方向AI 解读

The design of sampling from finite populations is receiving increased attention in the statistical literature. This article presents a critical review of past studies and new developments and outlines areas meriting further study and research. Bayesian and non-Bayesian approaches are analyzed but are not offered in a normative manner. Both points of view and the extent to which they provide differences in survey sample design are discussed and examined. These differences are…

单调似然比离散分布族的一致最准确上容忍限AI 解读

The theory of uniformly most accurate upper tolerance limits is presented for families of discrete distributions having monotone likelihood ratios. Explicit formulae are derived for binomial, negative-binomial and Poisson distributions. The relationship to systems of uniformly most accurate upper confidence limits is exposed.

方差分量估计量的均方误差效率AI 解读

Various estimators of components of variance for the balanced one way layout are compared using mean squared error as a measure of performance. Several modifications of the maximum likelihood estimator and several formal Bayes estimators are compared and mean square error relationships are given. Inadmissibility is established for a large class of translation and scale invariant estimators. Numerical results are tabled and graphed to exhibit the relative efficiency of the…

可靠性函数的最大似然与最佳无偏估计的小样本效率AI 解读

The paper presents the results of an inquiry concerning the small sample relative efficiency of maximum likelihood and best unbiased estimators of reliability functions of one-unit systems. Three cases are considered: The Poisson, exponential, and normal (standard deviation known). Two kinds of relative efficiency functions are studied. The first kind consists of the common ratio of the Cramér-Rao lower bound of the variances of unbiased estimators, to the mean-square-error…

串联系统与并联系统可靠性函数的无偏及最大似然估计AI 解读

The bias and mean-square-error functions of the maximum likelihood and best unbiased estimator of reliability functions are derived. Information is available on the operation of subsystems connected in series or in parallel. The Poisson and the exponential cases are considered.

串联系统与并联系统可靠性函数的最小方差无偏及最大似然估计AI 解读

The bias and mean-square-error functions of the maximum likelihood and best unbiased estimator of reliability functions are derived. Information is available on the operation of subsystems connected in series or in parallel. The Poisson and the exponential cases are considered.

基于等容量小样本的两个正态总体共同均值无偏估计AI 解读

Given two independent simple random samples of equal size from two normal distributions, N(μ, σ2 i ) (i = 1, 2), the problem is to estimate the common mean μ, — ∞ < μ, < ∞. The variance ratio ρ = σ2 2/σ2 1 is unknown. Two classes of randomized unbiased estimators are studied. Let (, S 1, S 2) denote the sample means and sums of squares of deviations. For both classes of estimators a two-sided F-test is performed. If F = S 2/S 1 falls in the interval (1/ρ, ρ), where ρ is a…