A new measure of inaccuracy for record statistics based on extropy
Majid Hashempour, Morteza Mohammadi
Abstract
Abstract We introduce a new measure of inaccuracy based on extropy between distributions of the n th upper (lower) record value and parent random variable and discuss some properties of it. A characterization problem for the proposed extropy inaccuracy measure has been studied. It is also shown that the defined measure of inaccuracy is invariant under scale but not under location transformation. We characterize certain specific lifetime distribution functions. Nonparametric estimators based on the empirical and kernel methods for the proposed measures are also obtained. The performance of estimators is also discussed using a real dataset.
Topics & Concepts
EstimatorMeasure (data warehouse)Nonparametric statisticsMathematicsStatisticsRandom variableTransformation (genetics)Kernel (algebra)Kernel density estimationScale (ratio)Computer scienceData miningDiscrete mathematicsQuantum mechanicsChemistryBiochemistryGenePhysicsStatistical Distribution Estimation and ApplicationsStatistical Methods and InferenceStatistical Methods and Bayesian Inference