TY - JOUR
ID - 3722
TI - The complementary odd Weibull power series distribution: properties and applications
JO - AUT Journal of Mathematics and Computing
JA - AJMC
LA - en
SN - 2783-2449
AU - Goldoust, Mehdi
AD - Department of Mathematics, Behbahan Branch, Islamic Azad University, Behbahan, Iran
Y1 - 2020
PY - 2020
VL - 1
IS - 1
SP - 57
EP - 67
KW - Odd Weibull distribution
KW - Power series distribution
KW - Compound distribution
KW - Maximum Likelihood Estimation
DO - 10.22060/ajmc.2019.15207.1015
N2 - In this paper, a new four-parameters model called the complementary odd Weibull power series (COWPS) distribution is defined and its properties are explored. This new distribution exhibits several new and well-known hazard rate shapes such as increasing, decreasing, bathtub-shaped and J-shape hazard rates. Some of its mathematical properties are obtained including moments, quantiles reliability, and moment generating functions. The maximum likelihood estimation method is used to estimate the vector of parameters. A simulation study is presented to investigate the performance of the estimators. Finally, The usefulness of the model has been demonstrated by applying it to a real-life dataset.
UR - https://ajmc.aut.ac.ir/article_3722.html
L1 - https://ajmc.aut.ac.ir/article_3722_1be02552deb40e99ef41e3344ca6aa8e.pdf
ER -