TY - JOUR
T1 - Marshall-Olkin Lindley-Log-logistic distribution
T2 - Model, properties and applications
AU - Moakofi, Thatayaone
AU - Oluyede, Broderick
AU - Makubate, Boikanyo
N1 - Publisher Copyright:
© 2021 Mathematical Institute Slovak Academy of Sciences.
PY - 2021/10/4
Y1 - 2021/10/4
N2 - The authors introduce a new generalized distribution called the Marshall-Olkin Lindley-Log-logistic (MOLLLoG) distribution and discuss its distributional properties. The properties include hazard function, quantile function, moments, conditional moments, mean and median deviations, Bonferroni and Lorenz curves, distribution of the order statistics and Rényi entropy. A Monte Carlo simulation study was used to examine the bias, relative bias and mean square error of the maximum likelihood estimators. The betterness of the new distribution compared to other distributions is illustrated by means of two real life datasets.
AB - The authors introduce a new generalized distribution called the Marshall-Olkin Lindley-Log-logistic (MOLLLoG) distribution and discuss its distributional properties. The properties include hazard function, quantile function, moments, conditional moments, mean and median deviations, Bonferroni and Lorenz curves, distribution of the order statistics and Rényi entropy. A Monte Carlo simulation study was used to examine the bias, relative bias and mean square error of the maximum likelihood estimators. The betterness of the new distribution compared to other distributions is illustrated by means of two real life datasets.
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U2 - 10.1515/ms-2021-0052
DO - 10.1515/ms-2021-0052
M3 - Article
AN - SCOPUS:85117947133
SN - 0139-9918
VL - 71
SP - 1269
EP - 1290
JO - Mathematica Slovaca
JF - Mathematica Slovaca
IS - 5
ER -