Introduces weighted cumulative residual Mathai-Haubold entropy, derives properties and characterizations for lifetime distributions, and proposes a Rayleigh goodness-of-fit test evaluated via simulation and real data.
Weighted Cumulative Residual Mathai-Haubold Entropy
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abstract
In this paper, we introduce the weighted cumulative residual Mathai--Haubold entropy and establish its fundamental properties. A dynamic version is developed, and its behavior under linear transformations is studied. Bounds and explicit expressions for some lifetime distributions are derived. Characterization results based on the associated measure are obtained and two new classes of life distributions are formulated. A goodness-of-fit test for the Rayleigh distribution is proposed and its performance is evaluated through a Monte Carlo simulation study. Applications to real data sets demonstrate the practical applicability of the proposed methodology
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Weighted Cumulative Residual Mathai-Haubold Entropy
Introduces weighted cumulative residual Mathai-Haubold entropy, derives properties and characterizations for lifetime distributions, and proposes a Rayleigh goodness-of-fit test evaluated via simulation and real data.