Extension of Generalized Bernoulli Learning Models

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 0<a1<a2<...<an<n 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.

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El-Desouky, B. , Shiha, F. and Magar, A. (2015) Extension of Generalized Bernoulli Learning Models. Open Journal of Modelling and Simulation, 3, 26-31. doi: 10.4236/ojmsi.2015.31003.

Conflicts of Interest

The authors declare no conflicts of interest.

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