Results 221 to 230 of about 244,712 (267)

Regular conditional probabilities and strictly proper loss functions

open access: closedStatistics & Probability Letters, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Michael Nielsen
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Some results on regular conditional probabilities

open access: closedActa Mathematica Sinica, 1985
A necessary and sufficient condition for the existence of regular conditional probability on a separable probability space is obtained. Some equivalent conditions for a regular conditional probability to be continuous or discrete are also obtained. Blackwell's theorem is extended to an arbitrary separable measurable space in a slightly weaker form.
Zhi-Ming Ma
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The existence of regular conditional probabilities for Markov kernels

open access: closedStatistics & Probability Letters, 2013
Abstract In this work, considering a Markov kernel (also called a stochastic kernel or transition probability) as a generalization of the concepts of the σ -field and the random variable, the concept of a conditional distribution (or regular conditional probability) of a Markov kernel given another is introduced.
Agustín García Nogales
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Characterizations of Discrete Probability Distributions by the Existence of Regular Conditional Distributions Respectively Continuity from Below of Inner Probability Measures

open access: closed, 1994
Let (Ω, B, P) denote some probability space, where : stands for some Polish space with B as the corresponding Borel σ-algebra. Furthermore, (Ω,BP,P) is introduced as the completion of (Ω,B,P). It is proved that P is discrete if and only if there exists a regular version of the conditional distribution P(A\B), A ∈ Bp.
D. Plachky
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Fuzzy c-means clustering with conditional probability based K–L information regularization

Journal of Statistical Computation and Simulation, 2021
Fuzzy c-means with regularization by K–L information (KLFCM) is an objective function method for clustering, which is regarded as a fuzzy counterpart of Gaussian mixture models (GMMs) with EM algor...
Ouafa Amira, Jiang-She Zhang, Junmin Liu
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Regularizing Pattern Recognition with Conditional Probability Estimates

2020 International Joint Conference on Neural Networks (IJCNN), 2020
Recent contributions in non-parametric statistical pattern recognition have investigated augmenting the task with information about the conditional probability distribution P(Y|X) away from the 0.5 level set, i.e. the decision boundary. Many hypothesis spaces satisfy generous smoothness criteria, so the behavior of a function away from the decision ...
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