Cumulants of a random variable distributed uniformly on the first \(n\) integ

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• 作者：Christopher S. Withers (1)
  Saralees Nadarajah (2)
  
  1. Industrial Research Limited ; Lower Hutt ; New Zealand
  2. University of Manchester ; Manchester ; M13 9PL ; UK
  
• 关键词：Bell polynomials ; Cumulant ; Roundoff
• 刊名：AStA Advances in Statistical Analysis
• 出版年：2015
• 出版时间：April 2015
• 年：2015
• 卷：99
• 期：2
• 页码：229-236
• 全文大小：197 KB
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• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Statistics
  Statistics
  Statistics for Business, Economics, Mathematical Finance and Insurance
  Probability Theory and Stochastic Processes
  Econometrics
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1863-818X

文摘

Motivated by a roundoff problem, we derive new expressions for cumulants of a random variable distributed uniformly on \(0,1, \ldots , n-1\) . Their computational efficiency over a known expression is discussed.