A Pragmatic Approach on Uncertainty Through Extropy as a Function of Extreme k-Records

Jitto Jose; E. I. Abdul Sathar

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A Pragmatic Approach on Uncertainty Through Extropy as a Function of Extreme k-Records

机译：A Pragmatic Approach on Uncertainty Through Extropy as a Function of Extreme k-Records

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摘要

The whole study has been centred on extropy treated as function of k-records to carry out analysis on uncertainty in the distribution of a random variable. The study presents some interesting properties of extropy while considering k-records instead of the parent random variable. The extropy orderings with respect to k-records arising from the random variables have been discussed in detail in this work. The study also proposes an estimator for extropy based on k-records and presents an analysis on the performance of the proposed estimator. The preference for k-records over parent random variable and classical record values has been discussed through some examples and an illustration based on a real-life data set as well.

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来源
《Iranian Journal of Science》 |2023年第3期|837-849|共13页
作者
Jitto Jose; E. I. Abdul Sathar;
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作者单位

Department of Statistics, Rajagiri College of Social Sciences, Kalamassery, Ernakulam, Kerala 683104, India;

Department of Statistics, University of Kerala, Kariavattom, Trivandrum, Kerala 695581, India;

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原文格式 PDF
正文语种英语
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关键词
Dispersive order; Extropy; Extropy ordering; k-records; Quantile estimator;

A Pragmatic Approach on Uncertainty Through Extropy as a Function of Extreme k-Records

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