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PreAggregation with Probability Distributions
"... Motivated by the increasing need to analyze complex, uncertain multidimensional data this paper proposes probabilistic OLAP queries that are computed using probability distributions rather than atomic values. The paper describes how to create probability distributions from base data, and how the d ..."
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Motivated by the increasing need to analyze complex, uncertain multidimensional data this paper proposes probabilistic OLAP queries that are computed using probability distributions rather than atomic values. The paper describes how to create probability distributions from base data, and how
Information Geometry on Hierarchy of Probability Distributions
, 2001
"... An exponential family or mixture family of probability distributions has a natural hierarchical structure. This paper gives an “orthogonal” decomposition of such a system based on information geometry. A typical example is the decomposition of stochastic dependency among a number of random variables ..."
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Cited by 106 (8 self)
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An exponential family or mixture family of probability distributions has a natural hierarchical structure. This paper gives an “orthogonal” decomposition of such a system based on information geometry. A typical example is the decomposition of stochastic dependency among a number of random
Formalization of Continuous Probability Distributions
 In Conference on Automated Deduction, volume 4603 of LNAI
, 2007
"... In order to overcome the limitations of stateoftheart simulation based probabilistic analysis, we propose to perform probabilistic analysis within the environment of a higherorderlogic theorem prover. The foremost requirement for conducting such analysis is the formalization of probability dist ..."
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Cited by 9 (9 self)
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distributions. In this report, we present a methodology for the formalization of continuous probability distributions for which the inverse of the cumulative distribution function can be expressed in a closed mathematical form. Our methodology is primarily based on the formalization of the Standard Uniform
Parametric probability distributions in reliability ∗
"... In this paper, we present an overview of basic parametric probability distributions which are frequently used in reliability. We present some main characteristics of these distributions, and briefly discuss underlying assumptions related to their suitability as models for specific reliability scenar ..."
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In this paper, we present an overview of basic parametric probability distributions which are frequently used in reliability. We present some main characteristics of these distributions, and briefly discuss underlying assumptions related to their suitability as models for specific reliability
Eliciting Univariate Probability Distributions
, 2010
"... In this chapter we discuss the process of eliciting an expert’s probability distribution: extracting an expert’s beliefs about the likely values of some unknown quantity of interest, denoted by θ, and representing those beliefs with a probability distribution. We consider the case of a scalar conti ..."
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Cited by 1 (0 self)
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In this chapter we discuss the process of eliciting an expert’s probability distribution: extracting an expert’s beliefs about the likely values of some unknown quantity of interest, denoted by θ, and representing those beliefs with a probability distribution. We consider the case of a scalar
Probability Distribution of the Order Parameter
"... The probability distribution of the order parameter is analyzed in order to obtain the criticality of magnetic systems. Monte Carlo simulations have been employed by using single spin flip Metropolis algorithm aided by finitesize scaling and histogram reweighting techniques. A method is proposed t ..."
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The probability distribution of the order parameter is analyzed in order to obtain the criticality of magnetic systems. Monte Carlo simulations have been employed by using single spin flip Metropolis algorithm aided by finitesize scaling and histogram reweighting techniques. A method is proposed
Estimating the Support of a HighDimensional Distribution
, 1999
"... Suppose you are given some dataset drawn from an underlying probability distribution P and you want to estimate a "simple" subset S of input space such that the probability that a test point drawn from P lies outside of S is bounded by some a priori specified between 0 and 1. We propo ..."
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Cited by 783 (29 self)
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Suppose you are given some dataset drawn from an underlying probability distribution P and you want to estimate a "simple" subset S of input space such that the probability that a test point drawn from P lies outside of S is bounded by some a priori specified between 0 and 1. We
Conflations of Probability Distributions
, 808
"... The conflation of a finite number of probability distributions P1,...,Pn is a consolidation of those distributions into a single probability distribution Q = Q(P1,...,Pn), where intuitively Q is the conditional distribution of independent random variables X1,...,Xn with distributions P1,...,Pn, resp ..."
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Cited by 2 (1 self)
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The conflation of a finite number of probability distributions P1,...,Pn is a consolidation of those distributions into a single probability distribution Q = Q(P1,...,Pn), where intuitively Q is the conditional distribution of independent random variables X1,...,Xn with distributions P1,...,Pn
Compressing Probability Distributions
, 2005
"... this paper we measure fidelity using relative entropy because, in the asymmetric communication example above, the relative entropy is roughly how many more bits we expect the client to send with the server's help than if it knew the distribution itself. Let P = p 1 , . . . , p n and Q = q 1 , . ..."
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Cited by 13 (4 self)
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, . . . , q n be probability distributions over the same set. Then the relative entropy [9] of P with respect to Q is defined as D(P#Q) =
Sets of Probability Distributions and Independence
, 2008
"... This paper discusses concepts of independence and their relationship with convexity assumptions in the theory of sets of probability distributions. The paper offers an organized review of the literature and some new ideas (on regular conditional independence and exchangeability/“strong independence” ..."
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This paper discusses concepts of independence and their relationship with convexity assumptions in the theory of sets of probability distributions. The paper offers an organized review of the literature and some new ideas (on regular conditional independence and exchangeability/“strong independence
Results 11  20
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1,084,699