A note on characterization based on past entropy
Richa Thapliyal, H. C. Taneja
TL;DR
This paper investigates whether past entropy, like residual entropy, can uniquely characterize a distribution function, extending the understanding of entropy measures in statistical characterization.
Contribution
The paper explores the analogous property of past entropy in uniquely determining distribution functions, building on Ebrahimi's residual entropy results.
Findings
Past entropy can characterize distribution functions uniquely.
Extension of residual entropy concepts to past entropy.
Provides theoretical insights into entropy-based distribution characterization.
Abstract
Ebrahimi (1996) has shown that the measure of residual entropy characterizes the distribution function uniquely. In this communication we study an analogous result for past entropy.
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Taxonomy
TopicsStatistical Distribution Estimation and Applications · Probabilistic and Robust Engineering Design · Fractional Differential Equations Solutions