Approximate Computation of Expectations

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Author(s): Charles Stein
Publisher: Stanford
Year: 1986

Language: english

Title page
Introduction
I. The basic approach
II. Continuation of the basic idea
III. A normal approximation theorem
IV. The number of ones in the binary expansion of a random integer
V. Heuristic treatment of large deviations
VI. Sums of independent random variables with densities
VII. Counting Latin rectangles
VIII. Poisson approximations
IX. Sums of independent identically distributed random variables
X. Another abstract normal approximation theorem
XI. Improved results on the number of Latin rectangles
XII. Random allocations
XIII. An application to the theory of random graphs
XIV. A third abstract normal approximation theorem
XV. Summary
Bibliography