A Generalized Measure of Cumulative Residual Entropy

Kattumannil, Sudheesh K.; Sreedevi, E P

doi:10.3390/e24040444

Cited by 7 publications

(2 citation statements)

References 42 publications

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“…Xu and Huang apply the entropy weight coupling model to measure the coupling and coordinated development level of two systems [17]. Additionally, scholars combine the entropy method [18], TOPSIS (Technique for Order Preference by Similarity to Ideal Solution) method [19], and entropy weighted TOPSIS method to evaluate economic growth in China [20]. Moreover, the entropy method and an improved TOPSIS method are used to assess the sustainability of the marine economy in China's coastal areas [19].…”

Section: Literature Reviewmentioning

confidence: 99%

Exploring Economic Development Trends Through Entropy Analysis

Zang

2023

Advances in Economics, Business and Management Research

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This paper aims to explore the economic development trends by analyzing the potential information contained in entropy values. The study focuses on three industries and examines the timeline of entropy values to understand their development patterns. Initially, the GDP data of subsectors within the three industries are selected as the research objects. Entropy values for the GDP of these subsectors are then calculated for all available years, resulting in a time series of entropy values. The paper proceeds by analyzing the patterns of entropy values within a given year across different subsectors and within a given subsector across different years. The obtained results indicate the effectiveness of national economic policies, the narrowing differences within the first industry across regions, reflecting the determination to build a robust agricultural nation, and the increasing market competition in other industries. Additionally, the financial industry and wholesale and retail trade exhibit the highest market levels, indicating the continuous formation of strongholds in these two sectors.

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Section: Literature Reviewmentioning

confidence: 99%

Exploring Economic Development Trends Through Entropy Analysis

Zang

2023

Advances in Economics, Business and Management Research

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“…This conclusion can also be obtained from point (i) of Theorem 1. Further connections with generalized versions of the cumulative entropy can be elaborated on relating the WMIT function to the mixture considered in Equation ( 11) of Kattumannil et al [26].…”

Section: Remarkmentioning

confidence: 99%

Weighted Mean Inactivity Time Function with Applications

Crescenzo

Toomaj

2022

Mathematics

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We consider an extension of the mean inactivity time based on a non-negative weight function. We show various properties of the new notion, and relate it to various functions of interest in reliability theory and information measures, such as the dynamic cumulative entropy, the past entropy, the varentropy, and the weighted cumulative entropy. Moreover, based on the comparison of weighted mean inactivity times, we introduce and study a new stochastic order and compare it with other suitable orders. We also discuss some results about the variance of transformed random variables and the weighted generalized cumulative entropy. Then, we investigate certain connections with the location-independent riskier order. Finally, we pinpoint several characterizations and preservation properties of the new stochastic order under shock models, random maxima, and notions of renewal theory.

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Relationships between cumulative entropy/extropy, Gini mean difference and probability weighted moments

Kattumannil

Sreedevi²

2023

Prob. Eng. Inf. Sci.

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In this work, we establish a connection between the cumulative residual entropy and the Gini mean difference (GMD). Some relationships between the extropy and the GMD, and the truncated GMD and dynamic versions of the cumulative past extropy are also established. We then show that several entropy and extropy measures discussed here can be brought into the framework of probability weighted moments, which would facilitate finding estimators of these measures.

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A Generalized Measure of Cumulative Residual Entropy

Cited by 7 publications

References 42 publications

Exploring Economic Development Trends Through Entropy Analysis

Exploring Economic Development Trends Through Entropy Analysis

Weighted Mean Inactivity Time Function with Applications

Relationships between cumulative entropy/extropy, Gini mean difference and probability weighted moments

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