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Abdulnasser, T. and Khidr, A.M. (1981) On the Distribution of a Sum of Non-Identical Independent Binomials. Journal of University of Kuwait, 8, 109-115.

has been cited by the following article:

• TITLE: Extension of Generalized Bernoulli Learning Models

  AUTHORS: B. S. El-Desouky, F. A. Shiha, A. M. Magar

  KEYWORDS: Stirling Numbers, Bernoulli Learning Models, Comtet Numbers, Inclusion-Exclusion Principle

  JOURNAL NAME: Open Journal of Modelling and Simulation, Vol.3 No.1, January 14, 2015

  ABSTRACT: In this article, we study the generalized Bernoulli learning model based on the probability of success pi = ai /n where i = 1,2,...n 0a1a2ann and n is positive integer. This gives the previous results given by Abdulnasser and Khidr [1], Rashad [2] and EL-Desouky and Mahfouz [3] as special cases, where pi = i/n pi = i2/n2 and pi = ip/np respectively. The probability function P(Wn = k) of this model is derived, some properties of the model are obtained and the limiting distribution of the model is given.