Probability Approximations via the Poisson Clumping Heuristic

Language: English

Published by Springer, Springer Dez 2010, 2010

1441930884 / 9781441930880

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This item is printed on demand - Print on Demand Titel. Neuware -If you place a large number of points randomly in the unit square, what is the distribution of the radius of the largest circle containing no points Of the smallest circle containing 4 points Why do Brownian sample paths have local maxima but not points of increase, and how nearly do they have points of increase Given two long strings of letters drawn i. i. d. from a finite alphabet, how long is the longest consecutive (resp. non-consecutive) substring appearing in both strings If an imaginary particle performs a simple random walk on the vertices of a high-dimensional cube, how long does it take to visit every vertex If a particle moves under the influence of a potential field and random perturbations of velocity, how long does it take to escape from a deep potential well If cars on a freeway move with constant speed (random from car to car), what is the longest stretch of empty road you will see during a long journey If you take a large i. i. d. sample from a 2-dimensional rotationally-invariant distribution, what is the maximum over all half-spaces of the deviation between the empirical and true distributions These questions cover a wide cross-section of theoretical and applied probability. The common theme is that they all deal with maxima or min ima, in some sense.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 292 pp. Englisch.…

Seller Inventory # 9781441930880

Title
Probability Approximations via the Poisson Clumping Heuristic
Author
David Aldous
Publisher
Springer, Springer Dez 2010
Publication year
2010
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
1441930884
ISBN 13
9781441930880
Item weight
446 grams
Dimensions
235x155x16 mm

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