TY - GEN
T1 - The New Ristić-Balakrishnan-Topp-Leone-Marshall-Olkin-G Family of Distributions with Applications
AU - Oluyede, Broderick
AU - Moakofi, Thatayaone
AU - Chipepa, Fastel
AU - Wanduku, Divine
N1 - Publisher Copyright:
© The Author(s), under exclusive license to Springer Nature Switzerland AG 2024.
PY - 2024
Y1 - 2024
N2 - This study is concerned with the generation of the new flexible family of distributions called Ristić-Balakrishnan-Topp-Leone-Marshall-Olkin-G (RB-TL-MO-G) distribution using gamma generator. Several statistical properties including hazard rate function, quantile function, moments, moments generating function, incomplete and conditional moments, entropy, distribution of order statistics, stochastic orderings are presented. Parameters of the new distribution are estimated using Maximum Likelihood, Anderson-Darling, Ordinary Least Squares, Weighted Least Squares, Cramér-von Mises and Maximum Product of Spacing methods of estimation. Furthermore, the effectiveness of the estimates is assessed through numerical simulation studies. To show the flexibility and adaptability of the new RB-TL-MO-G family of distributions, three real life data sets from various areas are utilized.
AB - This study is concerned with the generation of the new flexible family of distributions called Ristić-Balakrishnan-Topp-Leone-Marshall-Olkin-G (RB-TL-MO-G) distribution using gamma generator. Several statistical properties including hazard rate function, quantile function, moments, moments generating function, incomplete and conditional moments, entropy, distribution of order statistics, stochastic orderings are presented. Parameters of the new distribution are estimated using Maximum Likelihood, Anderson-Darling, Ordinary Least Squares, Weighted Least Squares, Cramér-von Mises and Maximum Product of Spacing methods of estimation. Furthermore, the effectiveness of the estimates is assessed through numerical simulation studies. To show the flexibility and adaptability of the new RB-TL-MO-G family of distributions, three real life data sets from various areas are utilized.
KW - Applicability.
KW - Estimation methods
KW - Marshall-Olkin-G distribution
KW - Ristić-Balakrishnan-G distribution
KW - Simulation
KW - Topp-Leone-G distribution
UR - http://www.scopus.com/inward/record.url?scp=85210174039&partnerID=8YFLogxK
U2 - 10.1007/978-3-031-69710-4_8
DO - 10.1007/978-3-031-69710-4_8
M3 - Conference article
AN - SCOPUS:85210174039
SN - 9783031697098
T3 - Springer Proceedings in Mathematics and Statistics
SP - 181
EP - 225
BT - Applied Mathematical Analysis and Computations II - 1st SGMC
A2 - Wanduku, Divine
A2 - Zheng, Shijun
A2 - Chen, Zhan
A2 - Sills, Andrew
A2 - Zhou, Haomin
A2 - Agyingi, Ephraim
PB - Springer
T2 - 1st Southern Georgia Mathematics Conference, SGMC 2021
Y2 - 2 April 2021 through 3 April 2021
ER -