Mohamed Kayid | Searcharxiv

arXiv2024

Further Results Involving Residual and Past Extropy with their Applications

In this paper we focus on the study of the monotonicity properties of the residual and the past extropy as well as on some characterization problems. We then apply the derived results to analyze further stochastic aspects of order statistics, coherent systems, and record values. Using various examples, we illustrate the applicability and significance of the results obtained. In addition, non-parametric estimators for the residual and past extropy measures are introduced. The performance of the acquired estimators has been illustrated using simulated data sets and also real data sets.

math.ST↗

arXiv2024

Stochastic comparisons of record values based on their relative aging

In this paper we examine some relative orderings of upper and lower records. It is shown that if m > n, the mth upper record ages faster than the nth upper record, where the data sets come from a sequence of independent and identically distributed observations from a continuous distribution. Sufficient conditions are also obtained to see whether the mth upper record arisen from a continuous distribution ages faster in terms of the relative hazard rate than the nth upper record arisen from another continuous distribution. It is also shown that the reversed hazard rate of the mth lower record decreases faster than the reversed hazard rate of the nth lower record, when m > n. Preservation property of the relative reversed hazard rate order at lower record values is investigated. Several examples are presented to examine the results.

math.ST↗