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Finite Mixture of Exponential Model and its Applications to Renewal and Reliability Theory

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Abstract

In the present paper, we study the properties of finite mixture of exponential model in the context of renewal theory. We obtain a generalized mixture of gamma distributions in terms of the confluent hypergeometric function, as the waiting time distribution. We present various applications of the model to reliability.

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Authors and Affiliations

  1. Department of Statistics, Bharathiar University, Coimbatore, 641046, India

    Maya T. Nair & Saleem.E Abdul

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  1. Maya T. Nair
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  2. Saleem.E Abdul
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Correspondence to Maya T. Nair.

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Nair, M.T., Abdul, S. Finite Mixture of Exponential Model and its Applications to Renewal and Reliability Theory. J Stat Theory Pract 4, 367–373 (2010). https://doi.org/10.1080/15598608.2010.10411992

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  • DOI: https://doi.org/10.1080/15598608.2010.10411992

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