A new measure of inaccuracy for record statistics based on extropy

IF 0.7 3区工程技术 Q4 ENGINEERING, INDUSTRIAL

Probability in the Engineering and Informational Sciences Pub Date : 2023-03-10 DOI:10.1017/s0269964823000086

M. Hashempour, M. Mohammadi

引用次数: 0

Abstract

We introduce a new measure of inaccuracy based on extropy between distributions of the nth upper (lower) record value and parent random variable and discuss some properties of it. A characterization problem for the proposed extropy inaccuracy measure has been studied. It is also shown that the defined measure of inaccuracy is invariant under scale but not under location transformation. We characterize certain specific lifetime distribution functions. Nonparametric estimators based on the empirical and kernel methods for the proposed measures are also obtained. The performance of estimators is also discussed using a real dataset.

查看原文本刊更多论文

基于外倾性的记录统计不准确性的新度量

我们引入了一种新的基于第n个上(下)记录值与父随机变量分布之间的异质性的不准确性度量，并讨论了它的一些性质。研究了所提出的外熵误差测度的表征问题。本文还证明了所定义的不准确性度量在尺度下是不变的，而在位置变换下则不是。我们描述了某些特定的寿命分布函数。基于经验方法和核方法的非参数估计也得到了。用一个真实数据集讨论了估计器的性能。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Probability in the Engineering and Informational Sciences 数学-工程：工业

CiteScore

2.20

自引率

18.20%

发文量

审稿时长

>12 weeks

期刊介绍： The primary focus of the journal is on stochastic modelling in the physical and engineering sciences, with particular emphasis on queueing theory, reliability theory, inventory theory, simulation, mathematical finance and probabilistic networks and graphs. Papers on analytic properties and related disciplines are also considered, as well as more general papers on applied and computational probability, if appropriate. Readers include academics working in statistics, operations research, computer science, engineering, management science and physical sciences as well as industrial practitioners engaged in telecommunications, computer science, financial engineering, operations research and management science.