Oxford Studies in Probability – serie
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5 produkter
Random Geometric Graphs
Inbunden, 2003
2902 kr
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This monograph sets out a body of mathematical theory for finite graphs with nodes placed randomly in Euclidean space and edges added to connect points that are close to each other. As an alternative to classical random graph models, these geometric graphs are relevant to the modelling of …
Poisson Approximation
Av A. D. Barbour, Lars Holst m. fl.
Inbunden, 1992
2558 kr
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The Poisson `law of small numbers' is a central principle in modern theories of reliability, insurance, and the statistics of extremes. It also has ramifications in apparently unrelated areas, such as the description of algebraic and combinatorial structures, and the distribution of prime …
Limit Theorems of Probability Theory
Sequences of Independent Random Variables
Inbunden, 1995
4918 kr
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This book is devoted to limit theorems and probability inequalities for sums of independent random variables. It includes limit theorems on convergence to infinitely divisible distributions, the central limit theorem with rates of convergence, the weak and strong law of large numbers, the law of …
Poisson Processes
Inbunden, 1992
1848 kr
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In the theory of random processes there are two that are fundamental, and occur over and over again, often in surprising ways. There is a real sense in which the deepest results are concerned with their interplay. One, the Bachelier Wiener model of Brownian motion, has been the subject of many …
Functional Gaussian Approximation for Dependent Structures
Av Florence Merlevède, Magda Peligrad m. fl.
Inbunden, 2019
2352 kr
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Functional Gaussian Approximation for Dependent Structures develops and analyses mathematical models for phenomena that evolve in time and influence each another. It provides a better understanding of the structure and asymptotic behaviour of stochastic processes. Two approaches are taken. Firstly, …
