In this paper, E-Bayesian and hierarchical Bayesian estimations of the shape parameter,
when the underlying distribution belongs to the proportional reversed hazard rate model, are …

Uncertainties associated with the estimated design rainfall depths are difficult to quantify,
especially if the uncertainties of the threshold used in the traditional peaks-over-threshold …

In this paper, we derive the exact expressions, as well as recurrence relations, for the single
and product moments of the order statistics (OSs) and record values of the Topp-Leone …

Moments of order statistics (OSs) characterize the Weibull–geometric and half-logistic
families of distributions, of which the extended exponential–geometric (EEG) distribution is a …

In this study, we address inference problems for Gumbel distribution when the available data
are lower record values. We first derive unbiased estimators of unknown parameters, and …

An important characteristic of the Rayleigh distribution is that its hazard function is an
increasing function of time. Therefore, this distribution can be used as a lifetime model in …

The aim of this chapter is to estimate unknown parameters of inverse Weibull (IW)
distribution using eight different estimation methods: maximum likelihood (ML), least …

The record values data have received the attention of researchers in statistics for over seven
decades. Through these decades the records have played a significant and widely utilized …

Ordered random variables (ORVs) are of great importance in statistical science. These
random variables are organized in increasing order called generalized order statistics …

本文基于下记录值样本, 研究了两参数逆威布尔分布模型的点估计和区间估计问题.
基于构造的服从卡方分布的枢轴量导出了参数的逆矩估计, 同时得到了形状参数的传统等尾置信 …