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An algorithm for approximating conditional probabilities
International Journal of Bio-Medical Computing, 1990When diagnostic programs are constructed within a probabilistic framework, it is often the case that computation of joint probabilities of exhaustive combinations of events is easy, but computation of the kind of conditional probabilities the user wishes to know, is hard.
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Second-Order Approximations of Ascertainment Probabilities
Biometrics, 1980A second-order correction is derived for the usual first-order order approximation to the probability of ascertaining a pedigree. Both the first- and second-order approximations are compared to the exact ascertainment probability for selected examples of monogenic and polygenic traits.
Hodge, Susan E. +3 more
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Deterministic approximations of probability inequalities
ZOR Zeitschrift f�r Operations Research Methods and Models of Operations Research, 1989Summary: A simple general framework for deriving explicit deterministic approximations of probability inequalities of the form P(\(\xi\geq a)\leq \alpha\) is presented. These approximations are based on limited parametric information about the involved random variables (such as their mean, variance, range or upper bound values).
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Approximate Factorisation of Probability Trees
2005Bayesian networks are efficient tools for probabilistic reasoning over large sets of variables, due to the fact that the joint distribution factorises according to the structure of the network, which captures conditional independence relations among the variables.
Irene Martínez +3 more
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Probably Approximately Correct Search
2009We consider the problem of searching a document collection using a set of independent computers. That is, the computers do not cooperate with one another either (i) to acquire their local index of documents or (ii) during the retrieval of a document.
Ingemar J. Cox +2 more
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1976
If the stochastic nature of input and desired output are known and if a set of admissible operators is given, one may choose an admissible operator which is efficient or nearly efficient for the approximation of desired output in terms of input; and such an operator may be strongly efficient or nearly so. The object being approximated may be a map.
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If the stochastic nature of input and desired output are known and if a set of admissible operators is given, one may choose an admissible operator which is efficient or nearly efficient for the approximation of desired output in terms of input; and such an operator may be strongly efficient or nearly so. The object being approximated may be a map.
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Approximations for the probability in the tails of the binomial distribution (Corresp.)
IEEE Transactions on Information Theory, 1987New upper and lower bounds for the probability in the tails of the binomial distribution are derived using a slight modification of a well known technique. The lower bound in particular, is simple and is shown to be very close to the previously known upper bound over a large range of values.
Ian F. Blake, H. Darabian
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An Approximation to the Probability Integral
Nature, 1925REFERRING to Prof. H. C. Plummer's letter on “An Approximation to the Probability Integral,” published in NATURE of October 25, the following alternative way of representing the normal error function by simple approximation may be of interest. The original demonstration of this has been given by me in Physical Department Paper No. 8, “A Method of Curve
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Approximate Escape Probabilities
Nuclear Science and Engineering, 1963The rational approximation to the escape probability is generalized to contain a geometry dependent parameter.
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Probably Approximately Correct
Quantitative Finance, 2015Professor Leslie Valiant has written a slim, engaging, far-reaching and demanding book. The topics it covers (the theory of computation and its relevance to evolution, learning and intelligence) ar...
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