nach oben

Journal of Failure Analysis and Prevention

Erschienen in:

01.06.2017 | Technical Article---Peer-Reviewed

A New Family of Topp and Leone Geometric Distribution with Reliability Applications

verfasst von: Hassan M. Okasha

Erschienen in: Journal of Failure Analysis and Prevention | Ausgabe 3/2017

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config

KI-gestützte Suche

Aus

Abstract

In this paper, a new class of lifetime distribution, which is called Topp–Leone (J-shaped) geometric distribution, is obtained by compound of the Topp–Leone and geometric distributions. Reliability and statistical properties of the new distribution such as quantiles, moment, hazard rate, reversed hazard rate, mean residual life, mean inactivity time, entropies, moment generating function, order statistics and their stochastic orderings are obtained. Estimation of the model parameters by least squares, weighted least squares, maximum likelihood and the observed information matrix are derived. Finally, a real data set is analyzed for illustrative purposes.

Vorheriger Artikel A Hybrid Probabilistic Model for Evaluating and Simulating Human Error in Industrial Emergency Conditions (HEIE)

Nächster Artikel Bronze Alloy Development for Zinc Vapor Capture

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Nur mit Berechtigung zugänglich

C.W. Topp, F.C. Leone, A family of J-shaped frequency functions. J. Am. Stat. Assoc. 50, 209–219 (1955)CrossRef

S. Nadarajah, S. Kotz, Moments of some J-shaped distributions. J. Appl. Stat. 30, 311–317 (2003)CrossRef

J.R. Van Dorp., S. Kotz, Modeling income distributions using elevated distributions on a bounded domain. Unpublished manuscript, The George Washington University, Washington (2004)

M.E. Ghitany, S. Kotz, M. Xie, On some reliability measures and their stochastic orderings for the Topp–Leone distribution. J. Appl. Stat. 32, 715–722 (2005)CrossRef

S. Kotz, S. Nadarajah, J-Shaped Distribution, Topp and Leone’s. Encyclopedia of Statistical Sciences, vol. 6, 2nd edn. (Wiley, New York, 2006)

M.E. Ghitany, Asymptotic distribution of order statistics from the Topp–Leone distribution. Int. J. Appl. Math. 20, 371–376 (2007)

D. Vicari, J.R. Van Dorp, S. Kotz, Two-sided generalized Topp and Leone (TS-GTL) distributions. J. Appl. Stat. 35, 1115–1129 (2008)CrossRef

A.I. Genç, Moments of order statistics of Topp–Leone distribution. Stat. Pap. 53(1), 117–121 (2012)CrossRef

R.E. Barlow, F. Proschan, Statistical Analysis of Reliability and Life Testing (Holt, Rinehart and Winston, New York, 1975)

10.

R.C. Gupta, H.O. Akman, Mean residual life function for certain types of non-monotonic ageing. Commun. Stat. Stoch. Models 11, 219–225. Erratum, 561–562 (1995)

11.

R.E. Glaser, Bathtub and related failure rate characterizations. J. Gupta Am. Stat. Assoc. 75, 667–672 (1980)CrossRef

12.

N.K. Chandra, D. Roy, Some results on the reversed hazard rate. Probab. Eng. Inf. Sci. 15, 95–102 (2001)CrossRef

13.

M. Kayid, S. Izadkhah, Mean inactivity time function, associated orderings, and classes of life distributions. IEEE Trans. Reliab. 63, 593–602 (2014)CrossRef

14.

A. Rényi, On measures of entropy and information, in Proceedings of the 4th Berkeley Symposium on Mathematical Statistics and Probability, vol. I (University of California Press, Berkeley, 1961), pp. 547–561

15.

A.P. Prudnikov, Y.A. Brychkov, O.I. Marichev, Integrals and Series (Volumes 1, 2 and 3) (Gordon and Breach Science Publishers, Amsterdam, 1986)

16.

I.S. Gradshteyn, I.M. Ryzhik, Tables of Integrals, Series and Products, 7th edn. (Elsevier, Academic Press, Amsterdam, 2007)

17.

R.E. Barlow, F. Proschan, Statistical Theory of Reliability and Life Testing: Probability Models (Holt, Rinehart and Winston, New York, 1975)

18.

S.M. Ross, Stochastic Processes, 2nd edn. (Wiley, New York, 1996)

19.

D. Stoyan, Comparison Methods for Queues and Other Stochastic Models (Wiley, New York, 1983)

20.

J. Swain, S. Venkatraman, J. Wilson, Least squares estimation of distribution function in Johnson’s translation system. J. Stat. Comput. Simul. 29, 271–297 (1988)CrossRef

21.

N.L. Johnson, S. Kotz, N. Balakrishnan, Continuous Univariate Distributions, vol. 1 (Wiley, New York, 1994)

22.

E.L. Butler, Estimating the survival distribution of aluminum processing pots, Carnegie Mellon University Research Showcase (2011)

Titel: A New Family of Topp and Leone Geometric Distribution with Reliability Applications
verfasst von: Hassan M. Okasha
Publikationsdatum: 01.06.2017
Verlag: Springer US
Erschienen in: Journal of Failure Analysis and Prevention / Ausgabe 3/2017
Print ISSN: 1547-7029
Elektronische ISSN: 1864-1245
DOI: https://doi.org/10.1007/s11668-017-0263-x

Premium Partner

Marktübersichten

Die im Laufe eines Jahres in der „adhäsion“ veröffentlichten Marktübersichten helfen Anwendern verschiedenster Branchen, sich einen gezielten Überblick über Lieferantenangebote zu verschaffen.

Zur Marktübersicht

Springer Professional

Abstract

Bitte loggen Sie sich ein, um Zugang zu Ihrer Lizenz zu erhalten.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Technik"

Springer Professional "Wirtschaft+Technik"

Weitere Artikel der Ausgabe 3/2017

A Hybrid Probabilistic Model for Evaluating and Simulating Human Error in Industrial Emergency Conditions (HEIE)

Product News

Cracking Failure of Hardfacing Layer of Repaired Backup-Roller in Rolling Mill

Metallurgical Analysis and Simulation of a Service-Fractured Compressor Blade Made of ASTM S45000 Alloy

Prevention of Scum Formation and Entrapment in High Carbon Steel Billets

Bronze Alloy Development for Zinc Vapor Capture

Premium Partner

Marktübersichten