Decoupling is popular PDF and ePub book, written by Victor de la Peña in 2012-12-06, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Decoupling can be Read Online from any device for your convenience.

Decoupling Book PDF Summary

A friendly and systematic introduction to the theory and applications. The book begins with the sums of independent random variables and vectors, with maximal inequalities and sharp estimates on moments, which are later used to develop and interpret decoupling inequalities. Decoupling is first introduced as it applies to randomly stopped processes and unbiased estimation. The authors then proceed with the theory of decoupling in full generality, paying special attention to comparison and interplay between martingale and decoupling theory, and to applications. These include limit theorems, moment and exponential inequalities for martingales and more general dependence structures, biostatistical implications, and moment convergence in Anscombe's theorem and Wald's equation for U--statistics. Addressed to researchers in probability and statistics and to graduates, the expositon is at the level of a second graduate probability course, with a good portion of the material fit for use in a first year course.

Detail Book of Decoupling PDF

Decoupling
  • Author : Victor de la Peña
  • Release : 06 December 2012
  • Publisher : Springer Science & Business Media
  • ISBN : 9781461205371
  • Genre : Mathematics
  • Total Page : 405 pages
  • Language : English
  • PDF File Size : 20,9 Mb

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