Document Type
Article
Publication Date
2021
Publisher
International Academic Press (IAPress)
Source Publication
Statistics, Optimization & Information Computing
Source ISSN
2311-004x
Abstract
We introduce a new distribution, so called A new generalized modified Weibull (NGMW) distribution. Various structural properties of the distribution are obtained in terms of Meijer’s G–function, such as moments, moment generating function, conditional moments, mean deviations, order statistics and maximum likelihood estimators. The distribution exhibits a wide range of shapes with varying skewness and assumes all possible forms of hazard rate function. The NGMW distribution along with other distributions are fitted to two sets of data, arising in hydrology and in reliability. It is shown that the proposed distribution has a superior performance among the compared distributions as evidenced via goodness–of–fit tests.
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
Alizadeh, Morad; Khan, Muhammad Nauman; Rasekhi, Mahdi; and Hamedani, Gholamhossein, "A New Generalized Modified Weibull Distribution" (2021). Mathematical and Statistical Science Faculty Research and Publications. 77.
https://epublications.marquette.edu/math_fac/77
Comments
Published version. Statistics, Optimization & Information Computing, Vol. 9, No. 1 (2021): 17-34. DOI. © 2021 International Academic Press (IAPress). Used with permission.