Next Article in Journal
Modeling Mindsets with Kalman Filter
Previous Article in Journal
High-Order Finite-Element Framework for the Efficient Simulation of Multifluid Flows
Previous Article in Special Issue
Network Reliability Modeling Based on a Geometric Counting Process
Article Menu
Issue 10 (October) cover image

Export Article

Open AccessFeature PaperArticle
Mathematics 2018, 6(10), 204; https://doi.org/10.3390/math6100204

Stochastic Comparisons and Dynamic Information of Random Lifetimes in a Replacement Model

Dipartimento di Matematica, Università degli Studi di Salerno, Via Giovanni Paolo II n. 132, 84084 Fisciano (SA), Italy
*
Author to whom correspondence should be addressed.
Received: 27 September 2018 / Revised: 9 October 2018 / Accepted: 14 October 2018 / Published: 16 October 2018
(This article belongs to the Special Issue Stochastic Processes with Applications)
Full-Text   |   PDF [590 KB, uploaded 16 October 2018]   |  

Abstract

We consider a suitable replacement model for random lifetimes, in which at a fixed time an item is replaced by another one having the same age but different lifetime distribution. We focus first on stochastic comparisons between the involved random lifetimes, in order to assess conditions leading to an improvement of the system. Attention is also given to the relative ratio of improvement, which is proposed as a suitable index finalized to measure the goodness of the replacement procedure. Finally, we provide various results on the dynamic differential entropy of the lifetime of the improved system. View Full-Text
Keywords: reliability; stochastic orders; scale family of distributions; proportional hazard rates; differential entropy reliability; stochastic orders; scale family of distributions; proportional hazard rates; differential entropy
Figures

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
SciFeed

Share & Cite This Article

MDPI and ACS Style

Di Crescenzo, A.; Di Gironimo, P. Stochastic Comparisons and Dynamic Information of Random Lifetimes in a Replacement Model. Mathematics 2018, 6, 204.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Mathematics EISSN 2227-7390 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top