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

#### Milan JOVANOVIĆ [1] , Bojana MİLOŠEVİĆ [2] , Marko OBRADOVİĆ [3]

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.
Multicomponent stress-strength, reliability, geometric distribution
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Primary Language en Statistics and Probability Statistics Orcid: 0000-0001-5512-0956Author: Milan JOVANOVIĆ (Primary Author)Institution: University of BelgradeCountry: Serbia Orcid: 0000-0001-8243-9794Author: Bojana MİLOŠEVİĆ Institution: University of BelgradeCountry: Serbia Orcid: 0000-0002-6826-3232Author: Marko OBRADOVİĆ Institution: University of BelgradeCountry: Serbia Ministarstvo prosvete, nauke i tehnološkog razvoja Republike Srbije (first and second author) 174012 Publication Date : August 6, 2020
 Bibtex @research article { hujms681608, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {2651-477X}, eissn = {2651-477X}, address = {}, publisher = {Hacettepe University}, year = {2020}, volume = {49}, pages = {1515 - 1532}, doi = {10.15672/hujms.681608}, title = {Estimation of stress-strength probability in a multicomponent model based on geometric distribution}, key = {cite}, author = {Jovanovıć, Milan and Mi̇loševi̇ć, Bojana and Obradovi̇ć, Marko} } APA Jovanovıć, M , Mi̇loševi̇ć, B , Obradovi̇ć, M . (2020). Estimation of stress-strength probability in a multicomponent model based on geometric distribution . Hacettepe Journal of Mathematics and Statistics , 49 (4) , 1515-1532 . DOI: 10.15672/hujms.681608 MLA Jovanovıć, M , Mi̇loševi̇ć, B , Obradovi̇ć, M . "Estimation of stress-strength probability in a multicomponent model based on geometric distribution" . Hacettepe Journal of Mathematics and Statistics 49 (2020 ): 1515-1532 Chicago Jovanovıć, M , Mi̇loševi̇ć, B , Obradovi̇ć, M . "Estimation of stress-strength probability in a multicomponent model based on geometric distribution". Hacettepe Journal of Mathematics and Statistics 49 (2020 ): 1515-1532 RIS TY - JOUR T1 - Estimation of stress-strength probability in a multicomponent model based on geometric distribution AU - Milan Jovanovıć , Bojana Mi̇loševi̇ć , Marko Obradovi̇ć Y1 - 2020 PY - 2020 N1 - doi: 10.15672/hujms.681608 DO - 10.15672/hujms.681608 T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 1515 EP - 1532 VL - 49 IS - 4 SN - 2651-477X-2651-477X M3 - doi: 10.15672/hujms.681608 UR - https://doi.org/10.15672/hujms.681608 Y2 - 2020 ER - EndNote %0 Hacettepe Journal of Mathematics and Statistics Estimation of stress-strength probability in a multicomponent model based on geometric distribution %A Milan Jovanovıć , Bojana Mi̇loševi̇ć , Marko Obradovi̇ć %T Estimation of stress-strength probability in a multicomponent model based on geometric distribution %D 2020 %J Hacettepe Journal of Mathematics and Statistics %P 2651-477X-2651-477X %V 49 %N 4 %R doi: 10.15672/hujms.681608 %U 10.15672/hujms.681608 ISNAD Jovanovıć, Milan , Mi̇loševi̇ć, Bojana , Obradovi̇ć, Marko . "Estimation of stress-strength probability in a multicomponent model based on geometric distribution". Hacettepe Journal of Mathematics and Statistics 49 / 4 (August 2020): 1515-1532 . https://doi.org/10.15672/hujms.681608 AMA Jovanovıć M , Mi̇loševi̇ć B , Obradovi̇ć M . Estimation of stress-strength probability in a multicomponent model based on geometric distribution. Hacettepe Journal of Mathematics and Statistics. 2020; 49(4): 1515-1532. Vancouver Jovanovıć M , Mi̇loševi̇ć B , Obradovi̇ć M . Estimation of stress-strength probability in a multicomponent model based on geometric distribution. Hacettepe Journal of Mathematics and Statistics. 2020; 49(4): 1515-1532.

Authors of the Article
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