TY - CHAP
T1 - The Exponentiated Half Logistic-Topp-Leone-G Power Series Class of Distributions: Model, Properties and Applications
AU - Chipepa, Fastel
AU - Oluyede, Broderick O.
AU - Wanduku, Divine
AU - Moakofi, Thatayaone
N1 - Publisher Copyright:
© 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.
PY - 2021/8/27
Y1 - 2021/8/27
N2 - We develop a new class of distributions, namely, the exponentiated half logistic-Topp-Leone-G power series (EHL-TL-GPS) class of distributions. We present some special classes in the proposed distribution. Structural properties were also derived including moments, entropy and maximum likelihood estimates. We conducted a simulation study to evaluate the consistency of the maximum likelihood estimates. We also present two real data examples to illustrate the applicability of the new class of distributions. The proposed model performs better than several non-nested models on selected data sets.
AB - We develop a new class of distributions, namely, the exponentiated half logistic-Topp-Leone-G power series (EHL-TL-GPS) class of distributions. We present some special classes in the proposed distribution. Structural properties were also derived including moments, entropy and maximum likelihood estimates. We conducted a simulation study to evaluate the consistency of the maximum likelihood estimates. We also present two real data examples to illustrate the applicability of the new class of distributions. The proposed model performs better than several non-nested models on selected data sets.
KW - Geometric distribution
KW - Half Logistic-G distribution
KW - Maximum likelihood estimation
KW - Poisson distribution
KW - Topp-Leone-G distribution
UR - https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/769
UR - https://doi.org/10.1007/978-3-030-77169-0_14
U2 - 10.1007/978-3-030-77169-0_14
DO - 10.1007/978-3-030-77169-0_14
M3 - Chapter
BT - Methods of Mathematical Modelling and Computation for Complex Systems
ER -