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Variational Principle for Non-additive Neutralized Bowen Topological Pressure
Ovadia and Rodriguez-Hertz (Neutralized local entropy and dimension bounds for invariant measures. ar**v:2302.10874v2 ) defined the neutralized Bowen...
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Conditional probability and probability updating
The conditional probability formula is supposed to reflect the correct updating of probability assignments when new information is incorporated....
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Probability Spaces
A probability space is a mathematical model that represents a random experiment. It consists of three components: a sample space, a sigma-algebra,...
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Probability Theory
In probability theory, events are subsets of an underlying set...
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The Matrix Sequential Probability Ratio Test and Multivariate Ruin Theory
The matrix sequential probability ratio test (MSPRT) is a statistical method to decide which law governs a collection of independent and identically...
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Events and Probability Spaces
A random experiment is modeled in mathematics through a probability space, which is a particular type of measure space. General notions on measure...
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Regularity of the Semigroup of Regular Probability Measures on Locally Compact Hausdorff Topological Groups
Let G be a locally compact Hausdorff group, and let P ( G ) denote the class of all regular probability measures on G . It is well known that P ( G ) forms...
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Probability Models in Statistical Data Analysis: Uses, Interpretations, Frequentism-as-Model
The application of mathematical probability theory in statistics is quite controversial. Controversies regard both the interpretation of probability...
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A Short Course in Probability Theory
This chapter is intended as a short introduction to probability theory.
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Elements of Probability Theory
Probability theory is the branch of Mathematics concerned with random phenomena. The modern theory of probability was developed by great...
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Probability Models in Statistical Data Analysis: Uses, Interpretations, Frequentism-as-Model
The application of mathematical probability theory in statistics is quite controversial. Controversies regard both the interpretation of probability...
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On Probability Sha** for 5G MIMO Wireless Channel with Realistic LDPC Codes
Probability Sha** (PS) is a method to improve a Modulation and Coding Scheme (MCS) in order to increase reliability of data transmission. It is...
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Review on Basic Probability Theory
We recall the key tools of probability theory that will be intensively used in the monograph: expectation, random variables, Gaussian vectors, and...
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Absolute continuity of probability measures and conditional expectations
In this chapter a special attention is devoted to the absolute continuity Absolute continuity of measures. It is shown how this notion and the...
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Quantum Probability for Modeling Cognition, Decision Making, and Artificial Intelligence
This is the brief review on quantum-like modeling, quantum probability versus classical probability in cognition, psychology, decision making, and...
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Probability and Moment Inequalities for Additive Functionals of Geometrically Ergodic Markov Chains
In this paper, we establish moment and Bernstein-type inequalities for additive functionals of geometrically ergodic Markov chains. These...
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Hitting with Probability One for Stochastic Heat Equations with Additive Noise
We study the hitting probabilities of the solution to a system of d stochastic heat equations with additive noise subject to Dirichlet boundary...