Estimation of type II truncated Fr'echet inverse exponential distribution under censored data
Journal of nonlinear sciences and its applications, Tome 13 (2020) no. 6, p. 354-363.

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This paper proposes a new probability distribution called as type II truncated Fr'echet inverse exponential distribution. Fundamental statistical properties like moments, incomplete moments, and quantile function of the proposed model are studied. The estimation of the parameter of the new model is approached by maximum likelihood method based on complete and censored samples. Asymptotic confidence interval of model parameters is investigated. We assess the numerical results to study the theoretical results. Superiority of the type II truncated Fr\'echet inverse exponential model over some known distributions is showed through one real data set.
DOI : 10.22436/jnsa.013.06.05
Classification : 60E05, 62E15, 62F10
Keywords: Type II truncated Fr'echet, inverse exponential model, moments, simulation

Aldahlan, Maha A.  1

1 Department of Statistics, College of Science, University of Jeddah, Jeddah, Saudi Arabia
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Aldahlan, Maha A. . Estimation of type II truncated Fr'echet inverse exponential distribution under censored data. Journal of nonlinear sciences and its applications, Tome 13 (2020) no. 6, p. 354-363. doi : 10.22436/jnsa.013.06.05. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.013.06.05/

[1] Abid, S. H.; Abdulrazak, R. K. Truncated Fréchet-$G$ generator of distributions, Appl. Math., Volume 7 (2017), pp. 51-66

[2] Aldahlan, M. A. Type II Truncated Fréchet Generated Family of Distributions, Int. J. Math. Appl., Volume 7 (2019), pp. 221-228

[3] Aldahlan, M. A. The inverse Weibull inverse exponential distribution with application, Int. J. Contemp. Math. Sci., Volume 14 (2019), pp. 17-30

[4] Bantan, R. A. R.; Jamal, F.; Chesneau, C.; Elgarhy, M. Truncated inverted Kumaraswamy generated family of distributions with applications, Entropy, Volume 21 (2019), pp. 1-22

[5] Crowder, M. J.; Kimber, A. C.; Smith, R. L.; Sweeting, T. J. Statistical Analysis of Reliability Data, Chapman and Hall, London, 1991

[6] Khan, M. S. The beta inverse Weibull distribution, Int. Trans. Math. Sci. Comput., Volume 3 (2010), pp. 113-119 | Zbl

[7] Najarzadegan, H.; Alamatsaz, M. H.; Hayati, S. Truncated Weibull-G more flexible and more reliable thangeta-G distribution, Int. J. Stat. Probab., Volume 6 (2017), pp. 1-17

[8] Oguntunde, P. E.; Adejumo, A. O.; Khaleel, M. A.; Okagbue, H. I.; Odetunmibi, O. A. The logistic inverse exponential distribution: Basic structural properties and application, In Proceedings of the World Congress on Engineering and Computer Science (San Francisco, U.S.A.), Volume 2018 (2018), pp. 1-4

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