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Autor
Chakraburty Subrata (Dibrugarh University, India), Alizadeh Morad (Persian Gulf University, Bushehr, Iran), Handique Laba (Dibrugarh University, India), Altun Emrah (Bartin University, Turkey), Hamedani G. G. (Marquette University, Milwaukee, USA)
Tytuł
A New Extension of Odd Half-Cauchy Family of Distributions: Properties and Applications with Regression Modeling
Źródło
Statistics in Transition, 2021, vol. 22, nr 4, s. 77-100, tab., wykr., bibliogr. 22 poz.
Słowa kluczowe
Symulacja, Estymacja, Metody statystyczne
Simulation, Estimation, Statistical methods
Uwagi
summ.
Abstrakt
The paper proposes a new family of continuous distributions called the extended odd half Cauchy-G. It is based on the T-X construction of Alzaatreh et al. (2013) by considering half Cauchy distribution for T and the exponentiated G(x;ξ) as the distribution of X. Several particular cases are outlined and a number of important statistical characteristics of this family are investigated. Parameter estimation via several methods, including maximum likelihood, is discussed and followed up with simulation experiments aiming to asses their performances. Real life applications of modeling two data sets are presented to demonstrate the advantage of the proposed family of distributions over selected existing ones. Finally, a new regression model is proposed and its application in modeling data in the presence of covariates is presented.(original abstract)
Dostępne w
Biblioteka Główna Uniwersytetu Ekonomicznego w Krakowie
Biblioteka SGH im. Profesora Andrzeja Grodka
Biblioteka Główna Uniwersytetu Ekonomicznego w Katowicach
Pełny tekst
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Bibliografia
Pokaż
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  8. Cordeiro, G. M., Alizadeh, M., Ramires, T. G. and Ortega, E. M. M., (2017). The generalized odd half-Cauchy family of distributions: Properties and applications. Communications in Statistics-Theory and Methods, 46, pp. 5685-5705.
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  13. Hinkley, D., (1977). On quick choice of power transformations. Journal of the Royal Statistical Society, Series (c), Applied Statistics, 26, pp. 67-69.
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  18. Paranaíba, P. F., Ortega, E. M. M., Cordeiro, G. M. and de Pascoa, M. A. R., (2013). The Kumaraswamy Burr XII distribution: theory and practice. Journal of Statistical Computation and Simulation, 83, pp. 2117-2143.
  19. Shibu, D. S. and Irshad, M. R., (2016). Extended new generalized Lindley Distribution . Statistica, 76, pp. 41-55.
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  22. Yousof, H. M., Altun, E. and Hamedani, G. G., (2018). A new extension of Fréchet distribution with regression models, residual analysis and characterizations. Journal of Data Science, 16(4), pp. 743-770.
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ISSN
1234-7655
Język
eng
URI / DOI
http://dx.doi.org/10.21307/stattrans-2021-039
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