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Abstract
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In this paper, we introduce a new two-parameter distribution which is called new Odd Log-Logistic Half-Logistic
(NOLL-HL) distribution. Theoretical properties of this model including the hazard function, survival function, asymptotic,
extreme value, quantile function, moments, conditional moments, mean residual life, mean past lifetime, coefficients of
skewness and kurtosis, entropy and order statistics are derived and studied in details. The maximum likelihood estimates of
parameters are compared with various methods of estimations by conducting a simulation study. Finally, two real data sets
are illustrated the purposes.
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