论文检索

右删失寿命数据的经验似然AI 解读

When the empirical likelihood (EL) of a parameter θ is constructed with right censored data, literature shows that − 2log (empirical likelihood ratio) typically has an asymptotic scaled chi-squared distribution, where the scale parameter is a function of some unknown asymptotic variances. Therefore, the EL construction of confidence intervals for θ requires an additional estimation of the scale parameter. Additional estimation would reduce the coverage accuracy for θ. By…

I 型删失下 Weibull 分布参数的估计AI 解读

The authors propose estimators for the shape and the scale parameters in the Weibull distribution under Type I censoring. They derive exact moments of the estimator for the shape parameter and establish the joint asymptotic normality of both estimators. The proposed estimators, compared with the corresponding maximum likelihood estimators, provide a simpler procedure while maintaining high asymptotic relative efficiencies for a wide range of censoring levels. Estimation of…

寿命试验中时间截断指数分布参数的估计AI 解读

This article proves the asymptotic unbiasedness and consistency when the sample size of the maximum likelihood estimate of the mean θ of an exponential distribution in a time-truncated experiment is random. Convergence of to with μ and σ2 independent of x is established. Asymptotic normality is the same under both the conditional and the unconditional distribution, but our procedure and normalizing constants differ from those in Bartholomew (1963).