TY - JOUR
T1 - The Gamma Logistic Erlang Truncated Exponential Distribution with Applications
AU - Jimoh, Hameed
AU - Oluyede, Broderick O.
AU - Wanduku, Divine
AU - Makubate, Boikanyo
PY - 2019/1/1
Y1 - 2019/1/1
N2 - We introduce a new distribution called the Gamma Log-logistic Erlang Truncated Exponential (GLLoGETE) distribution. Structural properties of the distribution including series expansion of the density function, sub-models, hazard function, moments, conditional moments, mean deviations, distribution of order statistics, Renyi entropy and maximum likelihood estimates are presented. The ´ new pdf is an infinite linear combinations of Burr XII-Erlang Truncated Exponential distributions. The new generalized distribution is applied to real data sets to evaluate the model performance.
AB - We introduce a new distribution called the Gamma Log-logistic Erlang Truncated Exponential (GLLoGETE) distribution. Structural properties of the distribution including series expansion of the density function, sub-models, hazard function, moments, conditional moments, mean deviations, distribution of order statistics, Renyi entropy and maximum likelihood estimates are presented. The ´ new pdf is an infinite linear combinations of Burr XII-Erlang Truncated Exponential distributions. The new generalized distribution is applied to real data sets to evaluate the model performance.
KW - distribution theory
KW - gamma distribution
KW - log-logistic distribution
UR - https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/744
UR - https://projecteuclid.org/euclid.as/1581044414
U2 - 10.16929/as/2019.2141.152
DO - 10.16929/as/2019.2141.152
M3 - Article
VL - 14
JO - Afrika Statistika
JF - Afrika Statistika
ER -