The Length-Biased Weighted Erlang Distribution

Journal Title: Asian Research Journal of Mathematics - Year 2017, Vol 6, Issue 3

Abstract

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.

Authors and Affiliations

Hesham M. Reyad, Soha A. Othman, Alaaeddin A. Moussa

Keywords

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  • EP ID EP338467
  • DOI 10.9734/ARJOM/2017/35963
  • Views 108
  • Downloads 0

How To Cite

Hesham M. Reyad, Soha A. Othman, Alaaeddin A. Moussa (2017). The Length-Biased Weighted Erlang Distribution. Asian Research Journal of Mathematics, 6(3), 1-15. https://www.europub.co.uk/articles/-A-338467