Skip to main content
Erschienen in: Strength of Materials 4/2015

01.07.2015

Bayesian Estimation Under Constant-Stress Partially Accelerated Life Test for Pareto Distribution with Type-I Censoring

verfasst von: Ali A. Ismail

Erschienen in: Strength of Materials | Ausgabe 4/2015

Einloggen

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

search-config
loading …

Abstract

This article discusses likelihood and Bayesian estimations under constant-stress partially accelerated life test model with type-I censoring assuming Pareto distribution of the second kind. Both maximum likelihood and Bayesian estimators of the model parameters are derived. The posterior means and posterior variances are obtained under the squared error loss function using Lindley’s approximation procedure. The advantages of this approximation are shown. Monte Carlo simulations are made under different samples sizes and different parameter values for evaluating and comparing the proposed methods of estimation.

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

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!

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!

Literatur
1.
Zurück zum Zitat W. Nelson, Accelerated Testing: Statistical Models, Test Plans, and Data Analysis, Wiley, New York (1990).CrossRef W. Nelson, Accelerated Testing: Statistical Models, Test Plans, and Data Analysis, Wiley, New York (1990).CrossRef
2.
Zurück zum Zitat Ali A. Ismail, “Estimating the generalized exponential distribution parameters and the acceleration factor under constant-stress partially accelerated life testing with type-II censoring,” Strength Mater., 45, No. 6, 693–702 (2013).CrossRef Ali A. Ismail, “Estimating the generalized exponential distribution parameters and the acceleration factor under constant-stress partially accelerated life testing with type-II censoring,” Strength Mater., 45, No. 6, 693–702 (2013).CrossRef
3.
Zurück zum Zitat D. S. Bai and S. W. Chung, “Optimal design of partially accelerated life tests for the exponential distribution under type-I censoring,” IEEE Trans. Reliab., 41, No. 3, 400–406 (1992).CrossRef D. S. Bai and S. W. Chung, “Optimal design of partially accelerated life tests for the exponential distribution under type-I censoring,” IEEE Trans. Reliab., 41, No. 3, 400–406 (1992).CrossRef
4.
Zurück zum Zitat D. S. Bai, D. S. W. Chung, and Y. R. Chun, “Optimal design of partially accelerated life tests for the lognormal distribution under type-I censoring,” Reliab. Eng. Syst. Safety, 40, No. 1, 85–92 (1993).CrossRef D. S. Bai, D. S. W. Chung, and Y. R. Chun, “Optimal design of partially accelerated life tests for the lognormal distribution under type-I censoring,” Reliab. Eng. Syst. Safety, 40, No. 1, 85–92 (1993).CrossRef
5.
Zurück zum Zitat A. A. Ismail, A. A. Abdel-Ghaly, and E. H. El-Khodary, “Optimum constant-stress life test plans for Pareto distribution under type-I censoring,” J. Stat. Comput. Simul., 81, No. 12, 1835–1845 (2011).CrossRef A. A. Ismail, A. A. Abdel-Ghaly, and E. H. El-Khodary, “Optimum constant-stress life test plans for Pareto distribution under type-I censoring,” J. Stat. Comput. Simul., 81, No. 12, 1835–1845 (2011).CrossRef
6.
Zurück zum Zitat Ali A. Ismail, “On designing constant-stress partially accelerated life tests under time-censoring,” Strength Mater., 46, No. 1, 132–139 (2014).CrossRef Ali A. Ismail, “On designing constant-stress partially accelerated life tests under time-censoring,” Strength Mater., 46, No. 1, 132–139 (2014).CrossRef
7.
Zurück zum Zitat S. K. Sinha, Reliability and Life Testing, Wiley, New York (1986). S. K. Sinha, Reliability and Life Testing, Wiley, New York (1986).
8.
Zurück zum Zitat J. A. Achcar, “Approximate Bayesian inference for accelerated life tests,” J. Appl. Stat. Sci., 1, No. 3, 223–237 (1994). J. A. Achcar, “Approximate Bayesian inference for accelerated life tests,” J. Appl. Stat. Sci., 1, No. 3, 223–237 (1994).
9.
Zurück zum Zitat P. K. Goel, Some Estimation Problems in the Study of Tampered Random Variables, Technical Report No. 50, Department of Statistics, Carnegie-Mellon University, Pittsburgh, PA (1971). P. K. Goel, Some Estimation Problems in the Study of Tampered Random Variables, Technical Report No. 50, Department of Statistics, Carnegie-Mellon University, Pittsburgh, PA (1971).
10.
Zurück zum Zitat M. H. DeGroot and P. K. Goel, “Bayesian and optimal design in partially accelerated life testing,” Naval Res. Logist. Quart., 16, No. 2, 223–235 (1979).CrossRef M. H. DeGroot and P. K. Goel, “Bayesian and optimal design in partially accelerated life testing,” Naval Res. Logist. Quart., 16, No. 2, 223–235 (1979).CrossRef
11.
Zurück zum Zitat M. M. Abdel-Ghani, Investigation of Some Lifetime Models under Partially Accelerated Life Tests, Ph.D. Thesis, Department of Statistics, Faculty of Economics and Political Science, Cairo University, Giza, Egypt (1998). M. M. Abdel-Ghani, Investigation of Some Lifetime Models under Partially Accelerated Life Tests, Ph.D. Thesis, Department of Statistics, Faculty of Economics and Political Science, Cairo University, Giza, Egypt (1998).
12.
Zurück zum Zitat A. A. Ismail, “Bayes estimation of Gompertz distribution parameters and acceleration factor under partially accelerated life tests with type-I censoring,” J. Stat. Comput. Simul., 80, No. 11, 1253–1264 (2010).CrossRef A. A. Ismail, “Bayes estimation of Gompertz distribution parameters and acceleration factor under partially accelerated life tests with type-I censoring,” J. Stat. Comput. Simul., 80, No. 11, 1253–1264 (2010).CrossRef
13.
Zurück zum Zitat D. V. Lindley, “Approximate Bayesian methods,” Trabajos Estadistica, 31, 223–237 (1980).CrossRef D. V. Lindley, “Approximate Bayesian methods,” Trabajos Estadistica, 31, 223–237 (1980).CrossRef
14.
Zurück zum Zitat J. Green, “Discussant on D. V. Lindley’s (1980) paper on approximate Bayesian methods,” Trabajos Estadistica, 31, 241–243 (1980). J. Green, “Discussant on D. V. Lindley’s (1980) paper on approximate Bayesian methods,” Trabajos Estadistica, 31, 241–243 (1980).
Metadaten
Titel
Bayesian Estimation Under Constant-Stress Partially Accelerated Life Test for Pareto Distribution with Type-I Censoring
verfasst von
Ali A. Ismail
Publikationsdatum
01.07.2015
Verlag
Springer US
Erschienen in
Strength of Materials / Ausgabe 4/2015
Print ISSN: 0039-2316
Elektronische ISSN: 1573-9325
DOI
https://doi.org/10.1007/s11223-015-9699-y

Weitere Artikel der Ausgabe 4/2015

Strength of Materials 4/2015 Zur Ausgabe

    Marktübersichten

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