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文章基本信息

  • 标题:On the steady state of birth-death process with coefficients of moderate growth
  • 本地全文:下载
  • 作者:Danielian Eduard ; Astola Jaakko
  • 期刊名称:Facta universitatis - series: Electronics and Energetics
  • 印刷版ISSN:0353-3670
  • 电子版ISSN:2217-5997
  • 出版年度:2004
  • 卷号:17
  • 期号:3
  • 页码:405-419
  • DOI:10.2298/FUEE0403405D
  • 出版社:University of Niš
  • 摘要:

    The standard birth-death process with various forms of intensities (coefficients) is a source for obtaining natural skewed distributions which in turn are important in modeling different phenomena: the number of transcripts in eukaryotic cells, the number of words in a text, the number of citations of an author, etc. In these cases the coefficients of the respective birth-death process have moderate growth. The most general assumptions of growth for these cases are presented in this paper. These assumptions of moderate growth allow simplification of the well-known conditions for the existence of the steady state distribution of the process.

  • 关键词:Birth-death process; moderate growth; skewed distributions; bio molecular systems
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