Approximate computation of expectations

Author(s) Charles Stein

IMS Lecture Notes Monogr. Ser., 7: 180pp. (1986). DOI: 10.1214/lnms/1215466568

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Institute of Mathematical Statistics Lecture Notes - Monograph Series, Volume 7

180 pp.

Published: 1986

First available in Project Euclid: 7 July 2008

MathSciNet: MR882007

Digital Object Identifier: 10.1214/lnms/1215466568

ISBN: 0940600080

Subjects:

Primary: 60F05

Secondary: 60C05 , 62E20

Institute of Mathematical Statistics Lecture Notes - Monograph Series

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Institute of Mathematical Statistics

TABLE OF CONTENTS
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Miscellaneous Frontmatter

Charles Stein

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 7, i-iii (1986). Open Access

Introduction

Charles Stein

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 7, 1-8 (1986). https://doi.org/10.1214/lnms/1215466570 Open Access

Chapter I. The basic approach

Charles Stein

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 7, 9-18 (1986). https://doi.org/10.1214/lnms/1215466571 Open Access

Chapter II. Continuation of the basic idea

Charles Stein

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 7, 19-32 (1986). https://doi.org/10.1214/lnms/1215466572 Open Access

Chapter III. A normal approximation theorem

Charles Stein

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 7, 33-42 (1986). https://doi.org/10.1214/lnms/1215466573 Open Access

Chapter IV. The number of ones in the binary expansion of a random integer

Charles Stein

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 7, 43-52 (1986). https://doi.org/10.1214/lnms/1215466574 Open Access

Chapter V. Heuristic treatment of the large deviations

Charles Stein

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 7, 53-58 (1986). https://doi.org/10.1214/lnms/1215466575 Open Access

Chapter VI. Sums of independent random variables with densities

Charles Stein

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 7, 59-68 (1986). https://doi.org/10.1214/lnms/1215466576 Open Access

Chapter VII. Counting Latin rectangles

Charles Stein

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 7, 69-80 (1986). https://doi.org/10.1214/lnms/1215466577 Open Access

Chapter VIII. Poisson approximations

Charles Stein

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 7, 81-94 (1986). https://doi.org/10.1214/lnms/1215466578 Open Access

Chapter IX. Sums of independent identically distributed random variables

Charles Stein

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 7, 95-104 (1986). https://doi.org/10.1214/lnms/1215466579 Open Access

Chapter X. Another abstract normal approximation theorem

Charles Stein

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 7, 105-110 (1986). https://doi.org/10.1214/lnms/1215466580 Open Access

Chapter XI. Improved results on the number of Latin rectangles

Charles Stein

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 7, 111-124 (1986). https://doi.org/10.1214/lnms/1215466581 Open Access

Chapter XII. Random allocations

Charles Stein

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 7, 125-126 (1986). https://doi.org/10.1214/lnms/1215466582 Open Access

Chapter XIII. An application to the theory of random graphs

Charles Stein

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 7, 137-144 (1986). https://doi.org/10.1214/lnms/1215466583 Open Access

Chapter XIV. A third abstract normal approximation theorem

Charles Stein

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 7, 145-152 (1986). https://doi.org/10.1214/lnms/1215466584 Open Access

Chapter XV. Summary

Charles Stein

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 7, 153-160 (1986). https://doi.org/10.1214/lnms/1215466585 Open Access

Bibliography

Charles Stein

Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol. 7, 161-164 (1986). Open Access

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