In this article, we introduce a generalization of the slash distribution via the gamma-normal distribution. We define the new slash distribution by relation of a gamma-normal random variable with respect to a power of a uniform random variable. The newly defined distribution generalizes the slash distribution and is more flexible in terms of its kurtosis and skewness than the slash distribution. Basic properties of the new distribution are studied. We derive the maximum likelihood estimators of its parameters and apply the distribution to a real dataset.
机构:
Eastern New Mexico Univ, Dept Math Sci, Portales, NM 88130 USA
Xian Univ Technol, Sch Sci, Xian, Shaanxi, Peoples R ChinaEastern New Mexico Univ, Dept Math Sci, Portales, NM 88130 USA
Tian, Weizhong
Wang, Tonghui
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New Mexico State Univ, Dept Math Sci, Las Cruces, NM 88003 USAEastern New Mexico Univ, Dept Math Sci, Portales, NM 88130 USA
Wang, Tonghui
Gupta, Arjun K.
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Bowling Green State Univ, Dept Math & Stat, Bowling Green, OH 43403 USAEastern New Mexico Univ, Dept Math Sci, Portales, NM 88130 USA