Resampling Estimators of the Renewal Function*

Andronov, Alexander

doi:10.1007/s10958-013-1627-8

Cited by 2 publications

(2 citation statements)

References 2 publications

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“…On the contrary stochastic processes have a dynamic character. Here the efficiency investigation of resampling estimator encounters great difficulties (Andronov 2000). Let's consider some statistical models, which are implemented to different reliability problems.…”

Section: The Case Of Partially Known Distributionsmentioning

confidence: 99%

“…Resampling approach was investigated from 1995 under prof. A. Andronov supervision. During this investigation, simple and hierarchical resampling (Andronov, Merkuryev, and Loginova 1995) and their implementations in reliability theory, queuing theory (Andronov and Fioshin 1999a;Afanasyeva 2002), stochastic processes (Andronov 2000;Afanasyeva 2005a;Andornov, Afanasyeva, and Fioshin 2006), optimization tasks (Andronov and Merkuryev 2000) and construction of confidence intervals (Andronov 2002;Andronov and Fioshin 2004) were considered. The present paper is devoted to the description of the main results connected with the reliability problems.…”

Section: Introductionmentioning

confidence: 99%

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Resampling Approach to the Estimation of Reliability Systems

Fioshin,

Fioshina

2013

Preprint

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The article is devoted to the resampling approach application to the reliability problems. This approach to reliability problems was first proposed by Ivnitsky (1967). Resampling is intensive statistical computer method, which is non-parametrical, that uses initial samples data in different combinations to simulate the process many times and get finally the estimator of the characteristics of interest. At the present paper simple resampling, hierarchical resampling, the case of one sample for several variables, the case of partially known distributions, analysis of degradation flow, analysis of degradation-renewal process, construction of confidence intervals are described. All those resampling application cases can be applied successfully to solve the reliability problems as an alternative to classical methods. 1

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Section: The Case Of Partially Known Distributionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Resampling Approach to the Estimation of Reliability Systems

Fioshin,

Fioshina

2013

Preprint

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Reliability Assessment of Repairable Systems Using Simple Regression Models

Álvarez¹,

Ibáñez²,

Sancho³

2020

Int J Math, Eng, Manag Sci

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The statistical nature of failures in repairable systems does not have a behaviour similar to non-repairable systems. The statistical models developed for the study of the reliability of repairable systems mostly based on the application of stochastic processes. However, there is a group of prediction models for reliability based on time series analysis. Below are the results and conclusions of the application of simple regression models in the escalators Avante model (TNE), in order to assess their potential use by maintenance organizations.

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Resampling Estimators of the Renewal Function*

Cited by 2 publications

References 2 publications

Resampling Approach to the Estimation of Reliability Systems

Resampling Approach to the Estimation of Reliability Systems

Reliability Assessment of Repairable Systems Using Simple Regression Models

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