On Mathai–Haubold Past Entropy Measure

In this paper, Mathai–Haubold past entropy measure is proposed and its properties are studied. Also some generalized inequalities related to Mathai–Haubold entropy measure are discussed. A Kernel based non-parametric estimator for the proposed measure is provided when the underlying sample follows ρ -mixing dependence condition. The consistency property and asymptotic normality of the proposed estimator are established. A simulation study is conducted to assess the performance of the estimator. A data set is analyzed for illustrative purposes.