Probability Approximations via the Poisson Clumping Heuristic
David Aldous
ISBN 10: 1441930884 ISBN 13: 9781441930880
Published by Springer, 2010
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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.
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Title: Probability Approximations via the Poisson ...
Publisher: Springer
Publication Date: 2010
Binding: Soft cover
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Taschenbuch. Condition: Neu. Probability Approximations via the Poisson Clumping Heuristic | David Aldous | Taschenbuch | xvi | Englisch | 2010 | Springer | EAN 9781441930880 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu Print on Demand. Seller Inventory # 107181612
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Taschenbuch. Condition: Neu. 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 GmbH, Tiergartenstr. 17, 69121 Heidelberg 292 pp. Englisch. Seller Inventory # 9781441930880
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Probability Approximations via the Poisson Clumping Heuristic
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - 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. 292 pp. Englisch. Seller Inventory # 9781441930880
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Probability Approximations via the Poisson Clumping Heuristic
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9781441930880
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