[Home ] [Archive]    
:: Volume 16, Issue 1 (9-2019) ::
JSRI 2019, 16(1): 229-244 Back to browse issues page
On Dynamic Survival Past Extropy Properties‎
Zohreh Pakdaman *1, Majid Hashempour‎
1- , zpakdaman@hormozgan.ac.ir
Abstract:   (192 Views)
 
‎This paper deals with the dynamic survival past extropy as a measure of uncertainty in the past lifetime‎ ‎distributions‎. ‎We introduce a quantile version of the extropy function in past lifetime‎. ‎Various properties of the proposed measure are obtained‎. ‎Additionally‎, ‎some stochastic comparisons‎ ‎and bounds are derived and the performance of the dynamic survival past extropy of parallel and series system is studied as well‎.
 
 
 
Keywords: Cumulative extropy, order statistics, past lifetime, quantile function, stochastic orders.‎
Full-Text [PDF 859 kb]   (38 Downloads)    
Type of Study: Research | Subject: General
Received: 2020/08/22 | Accepted: 2020/10/29 | Published: 2019/09/19
References
1. Alizadeh Noughabi‎, ‎H‎. ‎and Jarrahiferiz‎, ‎J‎. ‎(2019)‎. ‎On the Estimation of Extropy‎. Journal of Nonparametric Statistics‎, ‎31‎, ‎88-99‎. [DOI:10.1080/10485252.2018.1533133]
2. ‎Barlow‎, ‎R‎. ‎and Proschan‎, ‎F‎. ‎(1981)‎. Statistical Theory of Reliability and Life Testing‎, ‎Probability Model. ‎New York‎, ‎Holt‎, ‎Rinehart and Winnston‎.
3. ‎‎Cover‎, ‎T.M‎. ‎and Thomas‎, ‎J.A‎. ‎(2012)‎. ‎Elements of Information Theory‎. ‎John Wiley and Sons‎.
4. ‎Jahanshahi‎, ‎S.M.A.‎, ‎Zarei‎, ‎H‎. ‎and Khammar‎, ‎A.H‎. ‎(2019)‎. ‎On Cumulative Residual Extropy‎. ‎Probability in the Engineering and Informational Sciences‎, ‎34‎, ‎1-21‎.
5. ‎Jose‎, ‎J‎. ‎and Sathar‎, ‎E.A‎. ‎(2019)‎. ‎Residual Extropy of k-Record Values‎. ‎Statistics and Probability Letters‎, 146‎, ‎1-6‎. [DOI:10.1016/j.spl.2018.10.019]
6. ‎Krishnan‎, ‎A.S.‎, ‎Sunoj‎, ‎S.M‎. ‎and Nair‎, ‎N.U‎. ‎(2020)‎. ‎Some Reliability Properties of Extropy for Residual and Past Lifetime Random Variables‎. ‎Journal of the Korean Statistical Society‎, 49‎, ‎457-474‎. [DOI:10.1007/s42952-019-00023-x]
7. ‎Lad‎, ‎F.‎, ‎Sanfilippo‎, ‎G‎. ‎and Agro‎, ‎G‎. ‎(2015)‎. ‎Extropy‎: ‎Complementary Dual of Entropy‎. Statistical Science‎, 30‎, ‎40-58‎. [DOI:10.1214/14-STS430]
8. ‎Midhu‎, ‎N.N.‎, ‎Sankaran‎, ‎P.G‎. ‎and Nair‎, ‎N.U‎. ‎(2013)‎. ‎A Class of Distributions with the Linear Mean Residual‎ ‎Quantile Function and It's Generalizations‎. Statistical Methodology‎, 15‎, ‎1-24‎. [DOI:10.1016/j.stamet.2013.03.002]
9. ‎Nanda‎, ‎A.K.‎, ‎Sankaran‎, ‎P.G‎. ‎and Sunoj‎, ‎S.M‎. ‎(2014)‎. ‎Renyi's Residual Entropy‎: ‎A Quantile Approach‎. Statistics and Probability Letters‎, 85‎, ‎114-121‎. [DOI:10.1016/j.spl.2013.11.016]
10. ‎Noughabi‎, ‎H.A‎. ‎and Jarrahiferiz‎, ‎J‎. ‎(2020)‎. ‎Extropy of Order Statistics Applied to Testing Symmetry‎. Communications in Statistics-Simulation and Computation‎, ‎1-11‎. [DOI:10.1080/03610918.2020.1714660]
11. ‎Qiu‎, ‎G.‎, ‎Wang‎, ‎L‎. ‎and Wang‎, ‎X‎. ‎(2019)‎. ‎On Extropy Properties of Mixed Systems‎. ‎Probability in the Engineering and Informational Sciences‎, 33‎, ‎471-486‎. [DOI:10.1017/S0269964818000244]
12. ‎Qiu‎, ‎G‎. ‎(2019)‎. ‎Further Results on Quantile Entropy in the Past Lifetime‎. ‎Probability in the Engineering and‎ ‎Informational Sciences‎, ‎33‎, ‎146-159‎. [DOI:10.1017/S0269964818000062]
13. ‎Qiu‎, ‎G‎. ‎and Jia‎, ‎K‎. ‎(2018a)‎. ‎The Residual Extropy of Order Statistics‎. ‎Statistics and Probability Letters‎, 133‎, ‎15-22‎. [DOI:10.1016/j.spl.2017.09.014]
14. ‎Qiu‎, ‎G‎. ‎and Jia‎, ‎K‎. ‎(2018b)‎. ‎Extropy Estimators with Applications in Testing Uniformity‎. Journal of Non-parametric Statistics‎, 30‎, ‎182-196‎. [DOI:10.1080/10485252.2017.1404063]
15. ‎Qiu‎, ‎G‎. ‎(2017)‎. ‎The Extropy of Order Statistics and Record Values‎. Statistics and Probability Letters‎, 120‎, ‎52-60‎. [DOI:10.1016/j.spl.2016.09.016]
16. ‎Shaked‎, ‎M‎. ‎and Shanthikumar‎, ‎J‎. ‎(2007)‎. ‎Stochastic Orders‎. ‎Springer‎, ‎New York‎.
17. ‎Shannon‎, ‎C.E‎. ‎(1948)‎. ‎A Mathematical Theory of Communication‎. ‎The Bell System Technical Journal‎, 27‎, ‎379-423‎. [DOI:10.1002/j.1538-7305.1948.tb01338.x]
18. ‎Sunoj‎, ‎S.M‎. ‎and Sankaran‎, ‎P.G‎. ‎(2012)‎. ‎Quantile based Entropy Function‎. ‎Statistics and Probability Letters‎, 82‎, ‎1049-053‎. [DOI:10.1016/j.spl.2012.02.005]
19. ‎Sunoj‎, ‎S.M.‎, ‎Krishnan‎, ‎A.S‎. ‎and Sankaran‎, ‎P.G‎. ‎(2017)‎. ‎Quantile-based Entropy of Order Statistics‎. ‎Journal‎ ‎of the Indian Society for Probability and Statistics‎, ‎18‎, ‎1-17‎.
20. ‎Yang‎, ‎J.‎, ‎Xia‎, ‎W‎. ‎and Hu‎, ‎T‎. ‎(2018)‎. ‎Bounds on Extropy with Variational Distance Constraint‎. ‎Probability‎ ‎in the Engineering and Informational Sciences‎, ‎33‎, ‎1-19‎. [DOI:10.1017/S0269964818000098]
21. ‎Yu‎, ‎H‎. ‎L‎. ‎and Wang‎, ‎C.H‎. ‎(2013)‎. ‎Quantile-based Bayesian Maximum Entropy Approach for Spatiotemporal Modeling of Ambient Air Quality Levels‎. ‎Environmental Science and Technology‎, ‎47‎, ‎1416-1424‎. [DOI:10.1021/es302539f]
Send email to the article author

Add your comments about this article
Your username or Email:

CAPTCHA



XML   Persian Abstract   Print


Download citation:
BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks
Send citation to:

Pakdaman Z, Hashempour‎ M. On Dynamic Survival Past Extropy Properties‎. JSRI. 2019; 16 (1) :229-244
URL: http://jsri.srtc.ac.ir/article-1-357-en.html


Volume 16, Issue 1 (9-2019) Back to browse issues page
مجله‌ی پژوهش‌های آماری ایران (علمی - پژوهشی) Journal of Statistical Research of Iran JSRI
Persian site map - English site map - Created in 0.03 seconds with 29 queries by YEKTAWEB 4319