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An Approximation to the Probability Integral

Nature, 1924
THE probability integral can be represented by the simple approximation over such a range ...
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Approximate inference and interval probabilities

1987
This work presents results of research to develop of approximate inference formulas in the context of the calculus of evidence of Dempster-Shafer and the theory of interval probabilities. These formulas generalize the probabilistic domain the well-known relations between the truth values of the antecedent and the consequent propositions of a classical ...
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Approximation of Probability Distributions

2012
In this chapter, I apply the theory developed in Part II to questions motivated by probability theory. Section 11.1 contains a dual characterization of seminorms ∥ ⋅ ∥ Δ on a large subspace of \(\mathsf{{\mathfrak{M}}_{b}}(X)\). In Sect. 11.2, I discuss properties of asymptotic approximation for nets of probability distributions and apply Corollary P ...
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Bounding and Approximation of Probabilities

1995
To approximate probabilities of composite events has been a challenging problem for a long time in probability theory and statistics. Various inequalities have been developed providing us with strong or weak approximations. Sometimes the approximation of the probability of a simple event is a hard numerical task such as the evaluation of the ...
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Probability Approximations and Beyond

2012
Couplings for Irregular Combinatorial Assemblies.- Berry-Esseen Inequality for Unbounded Exchangeable Pairs.- Clubbed Binomial Approximation for the Lightbulb Process.- Coverage of Random Discs Driven by a Posson Point Process.- On the Optimality of Stein Factors.- Basic Estimates of Stability Rate for One-dimensional Diffusions.- Trend Analysis of ...
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Constructing Least-Squares Polynomial Approximations

SIAM Review, 2020
Akil Narayan, Ling Guo, Tao Zhou
exaly  

Generalized probabilistic approximations of incomplete data

International Journal of Approximate Reasoning, 2014
Martin Kuehnhausen
exaly  

Mining incomplete data with singleton, subset and concept probabilistic approximations

Information Sciences, 2014
Wojciech Rzasa, Patrick G Clark
exaly  

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