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Marshall-Olkin Extended Generalized Exponential Distribution: Properties, Inference and Application to Traffic Data

Author

Listed:
  • Oseghale O. Innocent
  • Ayoola J. Femi
  • Oluwole Adegoke Nuga
  • Ogunde A. Adebisi

Abstract

This paper aims to develop a three-parameter distribution called the Marshall–Olkin Extended Generalized Exponential (MOEGE ) distribution, which can be used in analyzing both reliability and survival data. Some statistical properties of the new distribution have been studied, which include, moments, incomplete moments, Renyl entropy, stochastic ordering, order statistics, and the moment generating function. The MOEGE distribution has submodels such as the Marshall–Olkin Extended Exponential (MOEE) , the Generalized Exponential (GE), and the Exponential (E) distribution. The maximum likelihood estimation technique is used to obtain the parameters estimate of the MOEGE distribution, also, we constructed a 95% asymptotic confidence interval for the parameters. The performances of the estimators have been studied using Monte Carlo simulation, and finally, to demonstrate the applicability of the MOEGE distribution, a traffic data set has been used.

Suggested Citation

  • Oseghale O. Innocent & Ayoola J. Femi & Oluwole Adegoke Nuga & Ogunde A. Adebisi, 2025. "Marshall-Olkin Extended Generalized Exponential Distribution: Properties, Inference and Application to Traffic Data," International Journal of Statistics and Probability, Canadian Center of Science and Education, vol. 12(5), pages 1-1, January.
    • Handle: RePEc:ibn:ijspjl:v:12:y:2025:i:5:p:1
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    References listed on IDEAS

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    1. García, V.J. & Gómez-Déniz, E. & Vázquez-Polo, F.J., 2010. "A new skew generalization of the normal distribution: Properties and applications," Computational Statistics & Data Analysis, Elsevier, vol. 54(8), pages 2021-2034, August.
    2. Miroslav Ristić & Debasis Kundu, 2015. "Marshall-Olkin generalized exponential distribution," METRON, Springer;Sapienza Università di Roma, vol. 73(3), pages 317-333, December.
    3. M. E. Ghitany & E. K. Al-Hussaini & R. A. Al-Jarallah, 2005. "Marshall-Olkin extended weibull distribution and its application to censored data," Journal of Applied Statistics, Taylor & Francis Journals, vol. 32(10), pages 1025-1034.
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    More about this item

    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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