A new family of skewed distributions with application to some daily closing prices. Issue 4 (17th March 2021)

• Record Type: Journal Article
• Authors: Bakouch, Hassan S.; Salinas, Hugo S.; Mamode Khan, Naushad; Chesneau, Christophe
• Is Part Of: Computational and mathematical methods. Volume 3:Issue 4(2021)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2021-03-17
• Subjects: data analysis -- mathematical models -- maximum likelihood estimation -- skewed distribution; Mathematics -- Data processing -- Periodicals; Numerical analysis -- Periodicals; Numerical analysis; Mathematics -- Data processing; Periodicals; 004.0151
• DOI: 10.1002/cmm4.1154
• Languages: English
• ISSNs: 2577-7408

Abstract

Abstract: In this article, we introduce a new general family of skewed distributions obtained through the use of a weighted skewed technique. This technique has the feature to unify two classical skewness techniques. Also, it is based on a clear stochastic representation involving a tuning weight function. General moments results are given. Subsequently, we focus our attention on a special case called asymmetric bimodal normal distribution . We investigate the maximum likelihood estimation of the parameters for this new distribution, with a complete numerical study. The developed model and method of inference are applied to some daily closing prices of some popular stocks.