Testing Probability Distributions using Conditional Samples [PDF]
SIAM Journal on Computing, 2015 We study a new framework for property testing of probability distributions, by considering distribution testing algorithms that have access to a conditional sampling oracle.* This is an oracle that takes as input a subset $S \subseteq [N]$ of the domain $[N]$ of the unknown probability distribution $D$ and returns a draw from the conditional ...
Clément L. Canonne +2 more
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The Estimation of Tree Posterior Probabilities Using Conditional Clade Probability Distributions [PDF]
Systematic Biology, 2013 In this article I introduce the idea of conditional independence of separated subtrees as a principle by which to estimate the posterior probability of trees using conditional clade probability distributions rather than simple sample relative frequencies. I describe an algorithm for these calculations and software which implements these ideas.
Bret Larget
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Conditional probability distributions of finite absorbing quantum walks [PDF]
Physical Review A, 2020 Quantum walks are known to have nontrivial interactions with absorbing boundaries. In particular it has been shown that an absorbing boundary in the one dimensional quantum walk partially reflects information, as observed by absorption probability computations.
Parker Kuklinski
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ON DISTRIBUTIVE RELATIONS INVOLVING CONDITIONAL MOMENTS AND THE PROBABILITY DISTRIBUTION OF THE CONDITIONING RANDOM VARIABLE [PDF]
Demonstratio Mathematica, 1986 Suppose three square integrable random variables X,Y,Z are given. The problem considered in the paper is how well the conditional expectation \(E(X| Y+\epsilon Z)\) can be approximated as \(\epsilon\to 0\) by expressions of the form \(m(Y+\epsilon Z)+\epsilon b(Y+\epsilon Z)+o(\epsilon)\), where \(m(y)=E(X| Y=y)\) and b(.) is some measurable function ...
Paweł J. Szabłowski
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ON A CHARACTERIZATION OF PROBABILITY DISTRIBUTIONS BY CONDITIONAL EXPECTATIONS [PDF]
Demonstratio Mathematica, 1988 Let X be a random variable with a differentiable disribution function F, let (a,b) denote the unique interval such that ...
Jerzy Pusz
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Conditional Probabilities of Multivariate Poisson Distributions [PDF]
, 2012 Multivariate Poisson distributions have numerous applications. Fast computation of these distributions, holding constant a fixed set of linear combinations of these variables, has been explored by Sontag and Zeilberger. This elaborates on their work.
Michael C. Burkhart
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De Finetti Theorems for Quantum Conditional Probability Distributions with Symmetry [PDF]
Annales Henri Poincaré, 2023 AbstractThe aim of device-independent quantum key distribution (DIQKD) is to study protocols that allow the generation of a secret shared key between two parties under minimal assumptions on the devices that produce the key. These devices are merely modeled as black boxes and mathematically described as conditional probability distributions.
Sven Jandura, Ernest Y.-Z. Tan
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Copula-based multivariate analysis of hydrological drought over jiabharali sub-basin of Brahmaputra River, India [PDF]
Scientific ReportsIn this study, copula-based multivariate hydrological drought analysis was carried out in the Jiabharali (Kameng) River in Arunachal Pradesh, a sub-tributary of Brahmaputra River, India. Different drought characteristics – severity (S), duration (D), and
Bivek Chakma +7 more
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Modeling Conditional Probability Distributions for Periodic Variables [PDF]
Neural Computation, 1996 Most conventional techniques for estimating conditional probability densities are inappropriate for applications involving periodic variables. In this paper we introduce three related techniques for tackling such problems, and investigate their performance using synthetic data.
Bishop, Christopher M., Nabney, Ian T.
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