Andishe_ye Amari

Andishe_ye Amari

Using weighted distributions to model skewed, multiexponential, and truncated data

Document Type : Original Article

Authors
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.
Keywords

Volume 23, Issue 1
September 2018
Pages 99-115

  • Receive Date 10 May 2025
  • First Publish Date 10 May 2025
  • Publish Date 23 August 2018