A New Mixture Lomax Distribution and Its Application
Keywords:
Mixture Lomax distribution, Length biased, Lomax distributionAbstract
In this paper, we propose a new mixture Lomax distribution for positive continuous random variable. The new mixture Lomax distribution has two component distributions which are Lomax distribution and length biased Lomax distribution. We have derived and studies in probability properties which include the probability density function, cumulative distribution function, survival function, hazard function, moment about origin, mean, variance, coefficient of skewness and coefficient of kurtosis. Next, we study the estimation parameter of new mixture Lomax distribution by using maximum likelihood estimation. Finally, application of new mixture
Lomax distribution is illustrated by real data set which is analyzed using Akaike’s information criterion (AIC). It is shown that the proposed distribution fits much better than some other existing Lomax distributions.
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