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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2020 / Cilt: 49 - Sayı: 4

Estimation of stress-strength probability in a multicomponent model based on geometric distribution

Milan Jovanović
Bojana Milošević
Marko Obradović
Sayfa
1515–1532
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Finally, the methods are applied to real data examples from climatology and sport.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, the estimation of the stress-strength probability in a multicomponent model, in the case when all components follow the geometric distribution, is studied.
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Temel Bulgular & Veri:A simulation study is performed in order to compare the performance of various estimators.
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Sonuç & Katkı:Finally, the methods are applied to real data examples from climatology and sport.
🔬Tür:Modelleme & Sayısal Simülasyon
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Multicomponent stress-strength · reliability · geometric distribution

Abstract

In this paper, the estimation of the stress-strength probability in a multicomponent model, in the case when all components follow the geometric distribution, is studied. This is the first time that multicomponent models with discrete probability distributions are considered. The MLE, UMVUE and Bayes point estimator, as well as asymptotic and bootstrap confidence intervals are presented. A simulation study is performed in order to compare the performance of various estimators. Finally, the methods are applied to real data examples from climatology and sport.

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Bu Makaleye Atıf Yap

Jovanović, M., Milošević, B., Obradović, M. (2022). Estimation of stress-strength probability in a multicomponent model based on geometric distribution. Hacettepe Journal of Mathematics and Statistics, Cilt: 49 - Sayı: 4, 1515–1532. https://ajindex.com/articles/529688

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Kaynakça (15)

  1. K. E. Ahmad, M. E. Fakhry and Z. F. Jaheen, Bayes estimation of ${P}({Y}> {X})$ in the geometric case, Microelectronics Reliability 35 (5), 817–820, 1995
  2. F. Akgül, Reliability estimation in multicomponent stress–strength model for Topp- Leone distribution, J. Stat. Comput. Simul. 89 (15), 2914–2929, 2019
  3. A. Barbiero, Inference on reliability of stress-strength models for Poisson data, Journal of Quality and Reliability Engineering 2013, 2013
  4. G. K. Bhattacharyya and R. A. Johnson, Estimation of reliability in a multicomponent stress-strength model, J. Amer. Statist. Assoc. 69 (348), 966–970, 1974
  5. S. Dey, J. Mazucheli and M. Z. Anis, Estimation of reliability of multicomponent stress–strength for a Kumaraswamy distribution, Comm. Statist. Theory Methods 46 (4), 1560–1572, 2017
  6. E. Furrer, R. Katz, M. Walter and R. Furrer, Statistical modeling of hot spells and heat waves, Climate Research 43 (3), 191–205, 2010
  7. S. Gunasekera, Classical, Bayesian, and generalized inferences of the reliability of a multicomponent system with censored data, J. Stat. Comput. Simul. 88 (18), 3455– 3501, 2018
  8. R. V. Hogg, J. McKean and A. T. Craig, Introduction to Mathematical Statistics, 7th Edition, Pearson Prentice Hall, 2013
  9. V. V. Ivshin and Ya. P. Lumelskii, Statistical estimation problems in stress-strength models, Perm University Press, Perm, 1995
  10. M. Jovanović, Estimation of {P}$\{{X} [11] T. Kayal, Y. M. Tripathi, S. Dey and S. J. Wu, On estimating the reliability in a multicomponent stress-strength model based on Chen distribution, Comm. Statist. Theory Methods 49 (10), 2429–2447, 2020
  11. D. Kendall and J. Dracup, On the generation of drought events using an alternating renewal-reward model, Stochastic Hydrology and Hydraulics 6 (1), 55–68, 1992
  12. F. Kızılaslan, Classical and Bayesian estimation of reliability in a multicomponent stress–strength model based on a general class of inverse exponentiated distributions, Statist. Papers 59 (3), 1161–1192, 2018
  13. F. Kizilaslan and M. Nadar, Classical and Bayesian estimation of reliability in multicomponent stress-strength model based on Weibull distribution, Revista Colombiana de Estadística 38 (2), 467–484, 2015
  14. F. Kızılaslan and M. Nadar, Estimation of reliability in a multicomponent stress– strength model based on a bivariate Kumaraswamy distribution, Statist. Papers 59 (1), 307–340, 2018
  15. A. Kohansal, On estimation of reliability in a multicomponent stress