Journal of Statistical Theory and Applications

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Volume 19, Issue 1, March 2020, Pages 1 - 9

Dynamic Systems with Baseline Exponential Distribution Based on Sequential Order Statistics Under a Power Trend for Hazard Rates

Authors
Majid Hashempour1, *, Mahdi Doostparast2
1Department of Statistics, School of Sciences, University of Hormozgan, Bandar Abbas, Iran
2Department of Statistics, School of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran
*Corresponding author. Email: ma.hashempour@hormozgan.ac.ir
Corresponding Author
Majid Hashempour
Received 6 January 2018, Accepted 19 August 2019, Available Online 2 March 2020.
DOI
10.2991/jsta.d.200224.005How to use a DOI?
Keywords
Proportional hazard rates; Hypotheses testing; Sequential order statistics; Estimation
Abstract

This paper deals with analyzing dynamic engineering systems consisting of independent components. The failure of a components causes more load on the surviving components. This property is modeled by a power trend conditionally proportional hazard rates. For modeling system lifetimes, the theory of sequential order statistics can be used. Sequential order statistics coming from heterogeneous exponential distributions are considered. The maximum likelihood and Bayesian estimates of the parameters are obtained in different cases. The generalized likelihood ratio and the Bayesian tests are also derived for testing homogeneity of the baseline exponential component lifetimes arising from s independent engineering systems.

Copyright
© 2020 The Authors. Published by Atlantis Press SARL.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Next Article In Issue>
Journal
Journal of Statistical Theory and Applications
Volume-Issue
19 - 1
Pages
1 - 9
Publication Date
2020/03/02
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
10.2991/jsta.d.200224.005How to use a DOI?
Copyright
© 2020 The Authors. Published by Atlantis Press SARL.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Majid Hashempour
AU  - Mahdi Doostparast
PY  - 2020
DA  - 2020/03/02
TI  - Dynamic Systems with Baseline Exponential Distribution Based on Sequential Order Statistics Under a Power Trend for Hazard Rates
JO  - Journal of Statistical Theory and Applications
SP  - 1
EP  - 9
VL  - 19
IS  - 1
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.d.200224.005
DO  - 10.2991/jsta.d.200224.005
ID  - Hashempour2020
ER  -