It takes the average reader 4 hours and 7 minutes to read An Introduction To Stein's Method by Andrew Barbour
Assuming a reading speed of 250 words per minute. Learn more
A common theme in probability theory is the approximation of complicated probability distributions by simpler ones, the central limit theorem being a classical example. Stein's method is a tool which makes this possible in a wide variety of situations. Traditional approaches, for example using Fourier analysis, become awkward to carry through in situations in which dependence plays an important part, whereas Stein's method can often still be applied to great effect. In addition, the method delivers estimates for the error in the approximation, and not just a proof of convergence. Nor is there in principle any restriction on the distribution to be approximated; it can equally well be normal, or Poisson, or that of the whole path of a random process, though the techniques have so far been worked out in much more detail for the classical approximation theorems.This volume of lecture notes provides a detailed introduction to the theory and application of Stein's method, in a form suitable for graduate students who want to acquaint themselves with the method. It includes chapters treating normal, Poisson and compound Poisson approximation, approximation by Poisson processes, and approximation by an arbitrary distribution, written by experts in the different fields. The lectures take the reader from the very basics of Stein's method to the limits of current knowledge.
An Introduction To Stein's Method by Andrew Barbour is 239 pages long, and a total of 61,901 words.
This makes it 81% the length of the average book. It also has 76% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 5 hours and 38 minutes to read An Introduction To Stein's Method aloud.
An Introduction To Stein's Method is suitable for students ages 12 and up.
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