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Probability and Probability Distributions

1972
In Chapter 1 we showed that the science of statistics is concerned with the interpretation of experimental results from random systems. One of the most important tools used in the development of the subject is a branch of mathematics called the Theory of Probability.
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Probability Distributions on R

2000
In Chapter 11 we considered the simple ease of distributions on (R,B). The case of distributions on (R n , B n ) for n = 2,3,... is both analogous and more complicated. [B n denotes the Borel sets of R n .]
Jean Jacod, Philip Protter
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Distributed probability network

2000 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.00CH37100), 2002
This paper introduces a distributed sub-pattern space binary associative memory for error correction and pattern completion. The associative architecture presented in this work is analogous to belief network representations in that, it represents domain knowledge using a set of sub-pattern joint probability distributions.
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A Suprasystem of Probability Distributions

Biometrical Journal, 1982
AbstractA set of differential equations is described whose solutions represent a general system of probability distribution functions. Previously reported systems of such distribution functions are special cases of this general system. The differential equations can be used to represent distribution functions and generate their related statistics in ...
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Probability and Probability Distributions

2023
Muhammad Aslam, Muhammad Imdad Ullah
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Probability Concepts and Probability Distributions

2011
This chapter reviews basic notions of probability (or “stochastic variability”) which is the formal study of the laws of chance, i.e., where the ambiguity in outcome is inherent in the nature of the process itself. Both the primary views of probability, namely the frequentist (or classical) and the Bayesian, are covered, and some of the important ...
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