On interval weighted cumulative residual and past extropies

M Mohammadi, M Hashempour - Statistics, 2022 - Taylor & Francis
We propose an interval weighted cumulative residual extropy (IWCRJ), which is an
extension of weighted cumulative residual extropy and the dynamic weighted cumulative …

[HTML][HTML] A generalized differential equation compartmental model of infectious disease transmission

S Greenhalgh, C Rozins - Infectious Disease Modelling, 2021 - Elsevier
For decades, mathematical models of disease transmission have provided researchers and
public health officials with critical insights into the progression, control, and prevention of …

Doubly truncated (interval) cumulative residual and past entropy

M Khorashadizadeh, AHR Roknabadi… - Statistics & Probability …, 2013 - Elsevier
Two measures of uncertainty, the cumulative residual entropy (CRE) and doubly truncated
Shannon entropy have been introduced respectively by Rao et al.(2004) and Sunoj et …

Interval extropy and weighted interval extropy

F Buono, O Kamari, M Longobardi - Ricerche di Matematica, 2023 - Springer
Recently, Extropy was introduced by Lad, Sanfilippo and Agrò as a complement dual of
Shannon Entropy. In this paper, we propose dynamic versions of Extropy for doubly …

Limiting behavior of the gap between the largest two representative points of statistical distributions

LH Xu, KT Fang, J Pan - Communications in Statistics-Theory and …, 2023 - Taylor & Francis
This paper explores the properties of the gap of representative points (RPs) in the sense of
minimum mean square error for various univariate statistical distributions. We illustrate the …

Analysis of the past lifetime in a replacement model through stochastic comparisons and differential entropy

A Di Crescenzo, P Di Gironimo, S Kayal - Mathematics, 2020 - mdpi.com
A suitable replacement model for random lifetimes is extended to the context of past
lifetimes. At a fixed time u an item is planned to be replaced by another one having the same …

Modified Cumulative Extropies of Doubly Truncated Random Variables

M Hashempour, M Mohammadi, SMA Jahanshahi… - Sankhya B, 2024 - Springer
In this paper, we introduce the modified doubly truncated cumulative residual and past
extropies, which are generalizations of corresponding cumulative extropies and their …

Properties of Shannon entropy for double truncated random variables and its applications

R Moharana, S Kayal - Journal of Statistical Theory and Applications, 2020 - Springer
Doubly truncated data are sometimes encountered in several applications, mainly in survival
and astronomical data analysis. This occurs when the data falls between two points. In this …

双截断随机变量的Cox-Czanner 散度

赵苏媛 - Pure Mathematics, 2023 - hanspub.org
Cox 和Czanner (2016) 提出了生存散度的概念并研究了一些分布的生存散度. 作为KL
散度的推广, 生存散度在统计学, 生态学等领域获得了广泛应用. 本文提出了Cox-Czanner …

An extension of weighted cumulative inaccuracy measure based on doubly truncation

S Jalayeri, M Khorashadizadeh - Pakistan Journal of Statistics and …, 2017 - mail.pjsor.com
In the present communication, based on two extensions of Shannon entropy cumulative
entropy by Rao, et al, 2004 and Kerridge’ s inaccuarcy by Kerridge,(1961), we study and …