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A New Flexible Distribution Based on the Zero Truncated Poisson Distribution: Mathematical Properties and Applications to Lifetime Data

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  • Abouelmagd THM

    (Management Information System Department, University, Saudi Arabia
    Department of Statistics, Mathematics and Insurance, Benha University, Egypt)

Abstract

In this paper, we introduce a new three-parameter model based on the zero truncated Poisson lifetime model. The new model has a strong physical motivation. We provide a comprehensive treatment of its statistical properties including ordinary and incomplete moments, generating functions and order statistics. The method of maximum likelihood is used to estimate the model parameters. We prove empirically the importance and flexibility of the new model in modeling two types of lifetime data.

Suggested Citation

  • Abouelmagd THM, 2018. "A New Flexible Distribution Based on the Zero Truncated Poisson Distribution: Mathematical Properties and Applications to Lifetime Data," Biostatistics and Biometrics Open Access Journal, Juniper Publishers Inc., vol. 8(1), pages 10-16, August.
    • Handle: RePEc:adp:jbboaj:v:8:y:2018:i:1:p:10-16
    DOI: 10.19080/BBOAJ.2018.08.555729
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    References listed on IDEAS

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    1. Takaya Saito & Marc Rehmsmeier, 2015. "The Precision-Recall Plot Is More Informative than the ROC Plot When Evaluating Binary Classifiers on Imbalanced Datasets," PLOS ONE, Public Library of Science, vol. 10(3), pages 1-21, March.
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