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Topp-Leone Odd Fréchet Generated Family of distributions with Applications to COVID-19 Data Sets

Computer Modeling in Engineering & Sciences 2020年第10期125卷 437-458页

作者： Sanaa Al-Marzouki Farrukh Jamal Christophe Chesneau Mohammed Elgarhy Statistics Department Faculty of ScienceKing AbdulAziz UniversityJeddah21551Saudi Arabia Department of Statistics Govt.S.A Postgraduate College Dera Nawab SahibBahawalpur63100Pakistan Universitéde Caen Normandie LMNOCampus IIScience 3Caen14032France Valley High Institute for Management Finance and Information Systems Obour11828Egypt

Recent studies have pointed out the potential of the odd Fréchet family(or class)of continuous distributions in fitting data of all *** this article,we propose an extension of this family through the so-called“Topp-Leone strategy”,aiming to improve its overall flexibility by adding a shape *** main objective is to offer original distributions with modifiable properties,from which adaptive and pliant statistical models can be *** the new family,these aspects are illustrated by the means of comprehensive mathematical and numerical *** particular,we emphasize a special distribution with three parameters based on the exponential *** related model is shown to be skillful to the fitting of various lifetime data,more or less *** all the possible applications,we consider two data sets of current interest,linked to the COVID-19 *** concern daily cases confirmed and recovered in Pakistan from March 24 to April 28,*** a result of our analyzes,the proposed model has the best fitting results in comparison to serious challengers,including the former odd Fréchet model.

关键词： General family of distributions asymmetric distributions probabilistic properties parametric estimation confidence intervals COVID-19 pandemic data analysis

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Basic Functions for Computational Implementation of the Box-Cox Symmetric Class of distributions

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Open Journal of Statistics 2021年第6期11卷 1010-1016页

作者： Giovana Fumes-Ghantous José Eduardo Corrente Basic Science Department Faculty of Animal Science and Food Engineering University of S&atilde o Paulo S&atilde o Paulo Brazil Research Support Office Botucatu Medical School University of S&atilde o Paulo State Botucatu Brazil

A class of distributions called Box-Cox symmetric was proposed for random variables with asymmetric distributions. This class allows through its structure an interpretation of the parameters in terms of quantiles (in particular, the median), relative dispersion and skewness. This study presents the initial results of the computational development of basic functions of each of the distributions that make up the Box-Cox symmetric class. Four functions have been developed to compose a routine in software R up to now. These functions are related to random numbers generation, probability density function, cumulative distribution function, and quantile function associated to a given probability. Examples of implemented functions were presented. The gamlss routine was used to check the performance of developed functions.

关键词： asymmetric distributions Basic Functions Box-Cox Symmetric Class

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