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Generalized Mixtures of Exponential Distribution and Associated Inference

Author

Listed:
  • Yaoting Yang

    (Department of Applied Mathematics, Xi’an University of Technology, Xi'an 710054, China)

  • Weizhong Tian

    (Department of Mathematical Sciences, Eastern New Mexico University, Portales, NM 88130, USA)

  • Tingting Tong

    (Department of Mathematical Sciences, New Mexico State University, Las Cruces, NM 88003, USA)

Abstract

A new generalization of the exponential distribution, namely the generalized mixture of exponential distribution, is introduced. Some of its basic properties, such as hazard function, moments, order statistics, mean deviation, measures of uncertainly, and reliability probability, are studied. Three different estimation methods are investigated by the maximum likelihood estimator, least-square estimator, and weighted least-square estimator. The performances of the estimators are assessed by simulation studies. Real-world applications of the proposed distribution are explored, and data fitting results show that the new distribution performs better than its competitors.

Suggested Citation

  • Yaoting Yang & Weizhong Tian & Tingting Tong, 2021. "Generalized Mixtures of Exponential Distribution and Associated Inference," Mathematics, MDPI, vol. 9(12), pages 1-22, June.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:12:p:1371-:d:574317
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    References listed on IDEAS

    as
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    2. Roshini George & S. Thobias, 2019. "Kumaraswamy Marshall-Olkin Exponential distribution," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 48(8), pages 1920-1937, April.
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    4. Nadarajah, Saralees & Kotz, Samuel, 2006. "The beta exponential distribution," Reliability Engineering and System Safety, Elsevier, vol. 91(6), pages 689-697.
    5. Ghitany, M.E. & Al-Mutairi, D.K. & Nadarajah, S., 2008. "Zero-truncated Poisson–Lindley distribution and its application," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(3), pages 279-287.
    6. Miroslav Ristić & Debasis Kundu, 2015. "Marshall-Olkin generalized exponential distribution," METRON, Springer;Sapienza Università di Roma, vol. 73(3), pages 317-333, December.
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