In this work we introduce a generalization of the slash distribution using beta-normal distribution. This newly defined generalization is more flexible than the ordinary slash distribution and contains distributions that can be not only symmetric and unimodal, but also asymmetric and bimodal. We study the properties of the new generalized distribution and demonstrate its use on some real data sets considering maximum likelihood estimation procedure.
机构:
Sichuan Univ Sci & Engn, Sch Math & Stat, Zigong, Peoples R China
South Sichuan Ctr Appl Math, Zigong, Peoples R ChinaSichuan Univ Sci & Engn, Sch Math & Stat, Zigong, Peoples R China
Jiang, Yingying
Li, Baokun
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机构:
Southwestern Univ Finance & Econ, Sch Stat, Chengdu, Peoples R ChinaSichuan Univ Sci & Engn, Sch Math & Stat, Zigong, Peoples R China
机构:
Department of Statistics, Faculty of Mathematical Sciences and Statistics, Malayer University, MalayerDepartment of Statistics, Faculty of Mathematical Sciences and Statistics, Malayer University, Malayer
Rasekhi M.
Hamedani G.G.
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Department of Mathematics, Statistics and Computer Science, Marquette University, MilwaukeeDepartment of Statistics, Faculty of Mathematical Sciences and Statistics, Malayer University, Malayer
Hamedani G.G.
Chinipardaz R.
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Department of Statistics, Faculty of Mathematical Sciences and Computer, Shahid Chamran University of Ahvaz, AhvazDepartment of Statistics, Faculty of Mathematical Sciences and Statistics, Malayer University, Malayer