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Forcing with Random Variables and Proof Complexity

from random variables defined on a sample space which is a non-standard finite set and sampled by functions of some restricted computational;

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

, the theory of set-valued random variables with many applications has become one of new and active branches in probability theory. In practice;

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Products of Random Variables

of the asymptotic theory of products of independent random variables and obtaining results with dependent variables using a new Bonferroni-type;

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Computing and Random Numbers

Computing and Random Numbers examines various aspects of random numbers and variables including an extensive overview of Computing and;

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Bounded Arithmetic, Propositional Logic and Complexity Theory

This book presents an up-to-date, unified treatment of research in bounded arithmetic and complexity of propositional logic, with emphasis;

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Probability

blended with coverage of probability laws, random variables, and distribution theory, equipping the reader to be a true problem solver and;

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Probability, Random Variables, Statistics, and Random Processes

Probability, Random Variables, Statistics, and Random Processes: Fundamentals & Applications is a comprehensive undergraduate-level;

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Probability Theory and Statistical Applications

of random variables. The book is directed to students of mathematics, statistics, engineering, and other quantitative sciences, in particular to;

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Introduction to Probability: Models and Applications

random, continuous random, and stochastic independence-multivariate random variables; transformations of random variables; covariance-correlation;

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Logical Foundations Of Proof Complexity

chapters include the necessary logical background for the material and are suitable for a graduate course. Associated with each of many complexity;

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Logical Foundations of Proof Complexity

chapters include the necessary logical background for the material and are suitable for a graduate course. Associated with each of many complexity;

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Asymptotics of Random Matrices and Related Models

this strategy in different settings: eigenvalues of random matrices, matrix models with one or several cuts, random tilings, and several;

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Probability, Random Variables, and Random Processes

familiarity with probability and random variables, though not necessarily of random processes and systems that operate on random signals. It is also;

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Gaussian Hilbert Spaces

This book treats the very special and fundamental mathematical properties that hold for a family of Gaussian (or normal) random variables;

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Gaussian Hilbert Spaces

This book treats the very special and fundamental mathematical properties that hold for a family of Gaussian (or normal) random variables;

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Statistics 2 (International)

combinations of random variables, continuous random variables, sampling and estimation, and hypothesis tests.;

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Sub-Independence

of dissociation between random variables than that of uncorrelatedness. If statistical tests reject independence but not lack of correlation, a model with;

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Random Matrices And Random Partitions

, we run into independent geometric random variables as well as determinantal point processes with discrete Bessel kernels.This book treats;

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Multivariate Probability

variables Bivariate distributions and the general theory of random vectors Relationships between random variables Normal linear model and;

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Recent Developments in Ordered Random Variables

The ordered random variables play important roles in the theory and practice of statistics. They possess significant statistical properties;

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Elementary Applications of Probability Theory

sciences and engineering. The first chapter contains a summary of basic probability theory. Chapters two to five deal with random variables and;

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Elementary Applications of Probability Theory

sciences and engineering. The first chapter contains a summary of basic probability theory. Chapters two to five deal with random variables and;

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Space in Weak Propositional Proof Systems

complexity with a focus on the combinatorial technique to prove monomial space lower bounds. The first chapter in Part II addresses the proof;

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Space in Weak Propositional Proof Systems

complexity with a focus on the combinatorial technique to prove monomial space lower bounds. The first chapter in Part II addresses the proof;

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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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Probability, Random Variables and Stochastic Processes

mathematical orientation and comprehensive coverage. The book classifies topics in probability, random variables, and stochastic processes very;

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Characterizations of Exponential Distribution by Ordered Random Variables

and applied probability. Ordered random variables are common in various applications in practice. In this book, characterizations;

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