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  • 标题:Extension of Generalized Bernoulli Learning Models
  • 本地全文:下载
  • 作者:B. S. El-Desouky , F. A. Shiha , A. M. Magar
  • 期刊名称:Open Journal of Modelling and Simulation
  • 印刷版ISSN:2327-4018
  • 电子版ISSN:2327-4026
  • 出版年度:2015
  • 卷号:03
  • 期号:01
  • 页码:26-31
  • DOI:10.4236/ojmsi.2015.31003
  • 语种:English
  • 出版社:Scientific Research Publishing
  • 摘要: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.
  • 关键词:Stirling Numbers; Bernoulli Learning Models; Comtet Numbers; Inclusion-Exclusion Principle
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