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.