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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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Contenuti
A The Heuristic.- B Markov Chain Hitting Times.- C Extremes of Stationary Processes.- D Extremes of Locally Brownian Processes.- E Simple Combinatorics.- F Combinatorics for Processes.- G Exponential Combinatorial Extrema.- H Stochastic Geometry.- I Multi-Dimensional Diffusions.- J Random Fields.- K Brownian Motion: Local Distributions.- L Miscellaneous Examples.- M The Eigenvalue Method.- Postscript.
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Probability Approximations via the Poisson Clumping Heuristic
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 o. Codice articolo 4173549
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Probability Approximations via the Poisson Clumping Heuristic
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Springer New York Dez 2010, 2010
ISBN 10: 1441930884
ISBN 13: 9781441930880
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Taschenbuch. Condizione: 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. Codice articolo 9781441930880
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Probability Approximations via the Poisson Clumping Heuristic
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Springer New York, Springer US Dez 2010, 2010
ISBN 10: 1441930884
ISBN 13: 9781441930880
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Taschenbuch. Condizione: Neu. 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. Codice articolo 9781441930880
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Probability Approximations via the Poisson Clumping Heuristic
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Springer New York, Springer US, 2010
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Taschenbuch. Condizione: 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. Codice articolo 9781441930880
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Probability Approximations via the Poisson Clumping Heuristic (Applied Mathematical Sciences)
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Probability Approximations via the Poisson Clumping Heuristic
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Probability Approximations via the Poisson Clumping Heuristic (Applied Mathematical Sciences)
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