The Length-Biased Weighted Erlang Distribution
Hesham M. Reyad, Soha A. Othman, Alaaeddin A. Moussa
Asian Research Journal of Mathematics · pp. 1–15 · Published 19 Sep 2017
10.9734/ARJOM/2017/35963Abstract
We introduce and study a new continuous model so called, the length-biased weighted Erlang (LBWE) distribution. Some mathematical properties of the new distribution such as, raw and incomplete moments, generating functions, Rényi of entropy, order and record statistics are investigated. The moments and maximum likelihood estimates are obtained for the model parameters. An application to real data set is used to illustrate the usefullness of the new model.
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