1
Master's degree in Mathematical Statistics, Imam Khomeini International University, Qazvin, Iran
2
Faculty Member, Department of Statistics, Imam Khomeini International University, Qazvin, Iran
Abstract
When observations exhibit multiexponential, asymmetric, truncated, or a combination of these structures, using symmetric uniexponential distributions to model them leads to misleading results. For this reason, distributions that can model skewness, biexponentiality, multiexponentiality, and truncatedness have always been of interest in the statistical literature. There are different ways to create such features in a distribution, including the use of weighted distributions. In this paper, it is shown that by choosing appropriate weight functions for a symmetric distribution such as the normal, such features can be created in the corresponding weighted distribution.
Rezaei, K. & Fallah, A. (2018). Using weighted distributions to model skewed, multiexponential, and truncated data. Andishe_ye Amari, 23(1), 99-115.
MLA
Rezaei, K., & Fallah, A. "Using weighted distributions to model skewed, multiexponential, and truncated data", Andishe_ye Amari, 23, 1, 2018, 99-115.
HARVARD
Rezaei K., Fallah A. (2018). 'Using weighted distributions to model skewed, multiexponential, and truncated data', Andishe_ye Amari, 23(1), pp. 99-115.
CHICAGO
K. Rezaei & A. Fallah, "Using weighted distributions to model skewed, multiexponential, and truncated data," Andishe_ye Amari, 23 1 (2018): 99-115,
VANCOUVER
Rezaei K., Fallah A. Using weighted distributions to model skewed, multiexponential, and truncated data. Andishe_ye Amari. 2018;23(1):99-115 (In Persian).