TY - JOUR
AU - Broderick Oluyede
AU - Morongwa Gabanakgosi
AU - Gayan Warahena-Liyanage
PY - 2024/04/13
Y2 - 2024/07/13
TI - The Marshall-Olkin-Topp-Leone-Gompertz-G Family of Distributions with Applications
JF - Statistics, Optimization & Information Computing
JA - Stat., optim. inf. comput.
VL - 12
IS - 4
SE - Research Articles
DO - 10.19139/soic-2310-5070-1509
UR - http://www.iapress.org/index.php/soic/article/view/1509
AB - A new family of distributions called the Marshall-Olkin-Topp-Leone-Gompertz-G (MO-TL-Gom-G) distribution is developed and studied in detail. Some mathematical and statistical properties of the new family of distributions are explored. Statistical properties of the new family of distributions considered are the quantile function, moments and generating function, probability weighted moments, distribution of the order statistics and R\'enyi entropy. The maximum likelihood technique is used for estimating the model parameters and Monte Carlo simulation is conducted to examine the performance of the model. Finally, we give examples of real-life data applications to show the usefulness of the above mentioned Topp-Leone-Gompertz generalization.
ER -