Research Article
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Year 2023, Volume: 6 Issue: 1, 1 - 10, 03.07.2023

Abstract

References

  • Nicholas E, Carl L, and Felix F., (2002). Beta-normal distribution and its applications. Communications in Statistics-Theory and methods. Vol. 31, no.4 p. 497-512.
  • Cordeiro, G.M. and de-Castro, M., (2011). A new family of generalized distributions. Journal of Statistical Computation and Simulation. Vol. 81 p. 883-893.
  • Alzaatreh, A., Lee, C. and Famoye, F., (2013). A new method for generating families of continuous distributions. Metron. Vol.71, p. 63-79.
  • Bourguignon, M., Silva, R.B. and Cordeiro, G.M., (2014). The Weibull-G family of probability distribution. Journal of Data Science. Vol. 12, p. 1253-1268.
  • Hosseini, B., Afshari, M. and Alizadeh, M., (2018). The generalized odd Gamma-G family of distributions: properties and applications. Austrian Journal of Statistics. Vol. 47, p. 69-89.
  • Ibrahim, A. and Job, O., (2020). The generalized odd Nakagami-G family of distributions: properties and applications. Naturengs MTU Journal of Engineering and Natural Sciences. Vol. 1 no.2 p.1-16.
  • Ibrahim, A. and Job, O., (2020). A new family of odd generalized Nakagami (Nak-G) distributions. Turkish Journal of Science. Vol. 5 no. 2 p. 85-101.
  • Mathee, P., Ibrahim, A. and Job, O., (2022). A new family of odd Nakagami Exponential (NE-G) distributions. Journal of New Theory. Vol34 p. 100-118.
  • Murthy, D. P., Xie, M., and Jiang, R. (2004). Weibull models. John Wiley and Sons. Techno

THE NAKAGAMI FRECHET DISTRIBUTION IN MODELING REAL-LIFE DATA

Year 2023, Volume: 6 Issue: 1, 1 - 10, 03.07.2023

Abstract

This article's main emphasis was on the Nakagami Frechet (NF) distribution's generalization. In this study, theoretical derivations for the probability density function (PDF), cumulative distribution function (CDF), survival, and hazard functions of the NF distribution were derived and discussed. Some fundamental mathematical and statistical properties are derived. In addition, the maximum likelihood estimator is used to obtain the model parameters. We present the simulation to evaluate the reliability of maximum likelihood estimators. Finally, to demonstrate the utility of the proposed distribution, the model was applied to real-life data sets.

References

  • Nicholas E, Carl L, and Felix F., (2002). Beta-normal distribution and its applications. Communications in Statistics-Theory and methods. Vol. 31, no.4 p. 497-512.
  • Cordeiro, G.M. and de-Castro, M., (2011). A new family of generalized distributions. Journal of Statistical Computation and Simulation. Vol. 81 p. 883-893.
  • Alzaatreh, A., Lee, C. and Famoye, F., (2013). A new method for generating families of continuous distributions. Metron. Vol.71, p. 63-79.
  • Bourguignon, M., Silva, R.B. and Cordeiro, G.M., (2014). The Weibull-G family of probability distribution. Journal of Data Science. Vol. 12, p. 1253-1268.
  • Hosseini, B., Afshari, M. and Alizadeh, M., (2018). The generalized odd Gamma-G family of distributions: properties and applications. Austrian Journal of Statistics. Vol. 47, p. 69-89.
  • Ibrahim, A. and Job, O., (2020). The generalized odd Nakagami-G family of distributions: properties and applications. Naturengs MTU Journal of Engineering and Natural Sciences. Vol. 1 no.2 p.1-16.
  • Ibrahim, A. and Job, O., (2020). A new family of odd generalized Nakagami (Nak-G) distributions. Turkish Journal of Science. Vol. 5 no. 2 p. 85-101.
  • Mathee, P., Ibrahim, A. and Job, O., (2022). A new family of odd Nakagami Exponential (NE-G) distributions. Journal of New Theory. Vol34 p. 100-118.
  • Murthy, D. P., Xie, M., and Jiang, R. (2004). Weibull models. John Wiley and Sons. Techno
There are 9 citations in total.

Details

Primary Language English
Subjects Modelling and Simulation
Journal Section Original Research Articles
Authors

Obalowa Job 0000-0001-5232-1509

İbrahim Abdullahi 0000-0002-7280-3035

Publication Date July 3, 2023
Acceptance Date May 31, 2023
Published in Issue Year 2023 Volume: 6 Issue: 1

Cite

APA Job, O., & Abdullahi, İ. (2023). THE NAKAGAMI FRECHET DISTRIBUTION IN MODELING REAL-LIFE DATA. Scientific Journal of Mehmet Akif Ersoy University, 6(1), 1-10.