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Estimation of reliability derived from binomial distribution in zero-failure data

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Abstract

This paper introduces a new method, E-Bayesian estimation method, to estimate the reliability in zero-failure data. The definition of E-Bayesian estimation of the reliability is given. Based on the definition, the formulas of E-Bayesian estimation and hierarchical Bayesian estimation of the reliability are provided, and property of the E-Bayesian estimation, i.e. relation between E-Bayesian estimation and hierarchical Bayesian estimation, is discussed. Calculations performed on practical problems show that the proposed new method is feasible and easy to operate.

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Authors and Affiliations

  1. School of Science, Ningbo University of Technology, Ningbo, Zhejiang, 315211, China

    Ming Han  (韩 明)

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  1. Ming Han  (韩 明)
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Correspondence to Ming Han  (韩 明).

Additional information

Foundation item: the Ningbo University of Technology Science Foundation and Ningbo Natural Science Foundation (No. 2013A610108)

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Han, M. Estimation of reliability derived from binomial distribution in zero-failure data. J. Shanghai Jiaotong Univ. (Sci.) 20, 454–457 (2015). https://doi.org/10.1007/s12204-015-1648-1

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  • DOI: https://doi.org/10.1007/s12204-015-1648-1

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