Affiliations: [a] College of Natural Science, Can Tho University, Can Tho City, Vietnam | [b] Laboratory for Applied and Industrial Mathematics, Institute for Computational Science and Artificial Intelligence, Van Lang University, Ho Chi Minh City, Vietnam | [c] Faculty of Fundamental Sciences, Van Lang University, Ho Chi Minh City, Vietnam | [d] Applied Analysis Research Group, Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam
Correspondence:
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Corresponding author: Ha Che-Ngoc, Applied Analysis Research Group, Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam. E-mail: [email protected].
Abstract: This paper proposes a new asymmetric V-shaped distribution for fitting continuous data. In this study, some statistical properties, such as the mean, the median, the variance, the survival, and the hazard function of the new distribution are investigated. Furthermore, we also presented how to generate the proposed asymmetric V-shaped distribution based on two random variables that have uniform distributions. Three examples are presented to illustrate the advantages of the asymmetric V-shaped distribution for some simulated and real-life data sets.
Keywords: Asymmetric, cumulative distribution, probability density, V-shaped distribution
