منابع مشابه
Conflations of Probability Distributions
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, respectively, given that X1 = · · · = Xn. Thus, in large classes of distributions ...
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The conflation of a finite number of probability distributions P1, . . . , Pn is the probability distribution that minimizes the loss of Shannon Information in consolidating the combined information from P1, . . . , Pn into a single distribution Q, and is also the minimax likelihood ratio consolidation of the distributions. Intuitively, the conflation is the conditional distribution of independ...
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We consider the question of how well a given distribution can be approximated with probabilistic graphical models. We introduce a new parameter, effective treewidth, that captures the degree of approximability as a tradeoff between the accuracy and the complexity of approximation. We present a simple approach to analyzing achievable tradeoffs that exploits the threshold behavior of monotone gra...
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In this paper we discuss a general methodology for estimating the distribution of individual growth rates in a size-structured population using aggregate population data. The method, for which rigorous theoretical formulations have been developed, is presented in the context of an inverse problem methodology and its use is illustrated with application to mosquitoosh, Gambusia aanis, population ...
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Probability distributions which can be obtained from superpositions of Gaussian distributions of different variances v=sigma;{2} play a favored role in quantum theory and financial markets. Such superpositions need not necessarily obey the Chapman-Kolmogorov semigroup relation for Markovian processes because they may introduce memory effects. We derive the general form of the smearing distribut...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2011
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-2011-05340-7