Abstract
In this paper, we discussed two distributions (the Lindley Distribution and the Transmuted Lindley Distribution) , in addition to some functions such as the PDF, CDF function, and we discussed some statistical properties such as Moments, the Moment Generating Function, the Coefficient of Variation, Skewness, Kurtosis, and Ordered Statistics. The parameters are estimated via the maximum likelihood method. This paper concluded the importance of the Transmuted Lindley Distribution on the Lindley distribution and on all sample sizes in the simulation side.
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