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利用两个次序统计量估计 Weibull 分布参数AI 解读

Summary The use of a computationally simple statistic for estimating, from small samples, the important reciprocal-shape parameter, γ, of the Weibull distribution is described. The estimator uses two suitably selected order statistics from a sample of N failure times. The choice of the two has been made to minimize the variance of the estimator; however, concise formulae are given to permit the use of any two order statistics in the case of censored samples. The statistic is…

最小风险估计量及其应用AI 解读

Summary Methods for obtaining minimum risk estimators with various loss functions and restrictions on the class of estimators are presented. The results are applied to estimators using order statistics and to estimation by graphical procedures. Minimum risk estimators of the Weibull reciprocal-shape parameter that use two order statistics are given.

摘要暂缺

In the paper, exact tests are proposed for testing the trend in the presence of autocorrelation and also for testing the trend and autocorrelation simultaneously in a first order Markov process. Also, the simultaneous confidence intervals associated with these tests are derived. These results are extended to a higher order Markov process.