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Nonconventional Limit Theorems And Random Dynamics

The book is devoted to limit theorems for nonconventional sums and arrays. Asymptotic behavior of such sums were first studied in ergodic;

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Limit Distributions for Sums of Independent Random Vectors

central limit theory of random vectors, which lies at the heart of probability and statistics. The authors develop the central limit theory;

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Random Graphs

, quasirandom graphs, random walks on trees, degree sequences, random matroids, central limit theorems, percolations and random subgraphs of the n-cube;

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Limit Theorems in Probability, Statistics and Number Theory

Limit theorems and asymptotic results form a central topic in probability theory and mathematical statistics. New and non-classical limit;

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Studies in the Theory of Random Processes

limit theorems for Markov processes. Specialists, researchers, and students in the field of probability will find it a source of important;

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Random Matrices And Random Partitions

This book is aimed at graduate students and researchers who are interested in the probability limit theory of random matrices and random;

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Random Summation

, information properties of probability distributions, and asymptotic behavior of doubly stochastic Poisson processes. Random Summation: Limit Theorems;

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Random Summation

, information properties of probability distributions, and asymptotic behavior of doubly stochastic Poisson processes. Random Summation: Limit Theorems;

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Products of Random Variables

Products of Random Variables explores the theory of products of random variables through from distributions and limit theorems, to;

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Random Walk In Random And Non-random Environments

The simplest mathematical model of the Brownian motion of physics is the simple, symmetric random walk. This book collects and compares;

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Limit Theorems For Associated Random Fields And Related Systems

and other models are provided. For such random systems, it is worthwhile to establish principal limit theorems of the modern probability;

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Spectral Theory Of Large Dimensional Random Matrices And Its Applications To Wireless Communications And Finance Statistics

The book contains three parts: Spectral theory of large dimensional random matrices; Applications to wireless communications; and;

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Random Evolutionary Systems - Asymptotic Properties and Large Deviations

parts, a good tool for analyzing and fitting models is the theory of random evolutionary systems, considering their asymptotic properties and;

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Stochastic Geometry, Spatial Statistics and Random Fields: Asymptotic Methods

is focused on asymptotic methods in geometric probability including weak and strong limit theorems for random spatial structures (point processes;

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Weak Convergence of Stochastic Processes

Weak convergence in metric spaces Weak convergence on C[0, 1] and D[0, ) Central limit theorem for semi-martingales and applications Central;

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Probability The Classical Limit Theorems

probability, via random walks, Brownian motion, the law of large numbers and the central limit theorem, to aspects of ergodic theorems, equilibrium;

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Probability: The Classical Limit Theorems

probability, via random walks, Brownian motion, the law of large numbers and the central limit theorem, to aspects of ergodic theorems, equilibrium;

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First Course in Probability

: Combinatorial Analysis; Axioms of Probability; Conditional Probability and Independence; Random Variables; Continuous Random Variables; Jointly;

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History of the Central Limit Theorem

This study discusses the history of the central limit theorem and related probabilistic limit theorems from about 1810 through 1950;

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Stochastic Processes

) stochastic processes in random environments (especially limit theorems on the stochastic processes in one-dimensional random environments and their;

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Probability

, random walks, martingales, Markov chains, ergodic theorems, and Brownian motion. It is a comprehensive treatment concentrating on the results;

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Multiple Wiener-Ito Integrals

The goal of this Lecture Note is to prove a new type of limit theorems for normalized sums of strongly dependent random variables that play;

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On Stein's Method for Infinitely Divisible Laws with Finite First Moment

first method is based on characteristic functions and Stein type identities when the involved sequence of random variables is itself infinitely;

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Dynamics of Statistical Experiments

This book is devoted to the system analysis of statistical experiments, determined by the averaged sums of sampling random variables. The;

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Limit Theorems and Applications of Set-Valued and Fuzzy Set-Valued Random Variables

After the pioneering works by Robbins {1944, 1945) and Choquet (1955), the notation of a set-valued random variable (called a random closed;

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Stochastic Models for Fractional Calculus

limit theorems for random variables and random vectors with heavy tails. This includes regular variation, triangular arrays, infinitely;

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Reproducing Kernel Hilbert Spaces in Probability and Statistics

more fruitful and promising applications, including statistical signal processing, nonparametric curve estimation, random measures, limit;

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