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Abstract: Quantitative science requires the assessment of uncertainty, and this means that measurements and inferences should be described as probability distributions. This is done by building data into a probabilistic likelihood function which produces a posterior "answer" by modulating a prior "question". Probability calculus is the only way of doing this consistently, so that data can be included gradually or all at once while the answer remains the same. But probability calculus is only a... (Update)
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BibTeX entry: (Update)
@misc{ skilling-probabilistic,
author = "John Skilling",
title = "Probabilistic Data Analysis; An Introductory Guide",
url = "citeseer.ist.psu.edu/skilling98probabilistic.html" }
Citations (may not include all citations):643 Equation of state calculations by fast computing machine (context) - Metropolis, Rosenbluth et al. - 1953
588 Handbook of Genetic Algorithms (context) - Davis - 1991
424 Sampling-based approaches to calculating marginal densities (context) - Gelfand, Smith - 1990
322 Fuzzy sets (context) - Zadeh - 1965
317 Monte Carlo sampling methods using Markov chains and their a.. (context) - Hastings - 1970
258 Cross-validatory choice and assessment of statistical pre18 .. (context) - Stone - 1974
228 Simulated annealing and Boltzmann machines (context) - Aarts, Kost - 1989
215 Bayesian computations via the Gibbs sampler and related Mark.. (context) - Smith, Roberts - 1993
173 Monte Carlo methods (context) - Hammersley, Handscomb - 1964
135 Inference from iterative simulation using multiple sequences (context) - Gelman, Rubin
130 Spatial statistics and Bayesian computation (context) - Besag, Green - 1993
72 Statistical Inference for Spatial Processes (context) - Ripley - 1988
69 Solution of incorrectly formulated problems and the regulari.. (context) - Tikhonov - 1963
63 Optimisation by simulated annealing (context) - Kirkpatrick, Gelatt et al. - 1983
47 Prior Probabilities - Jaynes - 1968
[Article contains additional citations not shown here]
Documents on the same site (http://www.maxent.co.uk/documents_1.htm):
Massive Inference and Maximum Entropy - Skilling (1998) (Correct)
Quantified Maximum Entropy - Memsys Users' Manual (Correct)
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