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On the Sin-G class of distributions: theory, model and application | ||
Journal of Mathematical Modeling | ||
مقاله 6، دوره 7، شماره 3، آذر 2019، صفحه 357-379 اصل مقاله (505.48 K) | ||
نوع مقاله: Research Article | ||
شناسه دیجیتال (DOI): 10.22124/jmm.2019.13502.1278 | ||
نویسندگان | ||
Luciano Souza1؛ Wilson Junior1؛ Cicero de Brito2؛ Christophe Chesneau* 3؛ Tiago Ferreira1؛ Lucas Soares1 | ||
1PPGBEA, Universidade Federal Rural de Pernambuco, Recife/PE, Brazil | ||
2Instituto Federal da Pernambuco, Pernambuco/PE, Brazil | ||
3Universit\'e de Caen, LMNO, Campus II, Science 3, 14032, Caen, France | ||
چکیده | ||
This paper is devoted to the study of the Sin-G class of distributions and one of its special member. We first explore the mathematical properties of the Sin-G class, giving the cumulative and probability density functions and their expansions, quantile function, moments, moment generating function, reliability parameter, R'enyi entropy and order statistics. Then, we focus our attention on the special member defined with the Inverse Weibull distribution as baseline, denoted by SinIW. The mathematical and practical aspects of the SinIW distribution are investigated. In order to illustrate the usefulness of the SinIW model, an application to real life data set is carried out. | ||
کلیدواژهها | ||
classes of trigonometric sine distributions؛ inverse Weibull distribution؛ maximum likelihood estimation؛ data analysis | ||
آمار تعداد مشاهده مقاله: 878 تعداد دریافت فایل اصل مقاله: 1,383 |