Posterior Distributions for Non-Parametric Priors
Charles H. Kraft (1969-1970)
Publications mathématiques et informatique de Rennes
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Charles H. Kraft (1969-1970)
Publications mathématiques et informatique de Rennes
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Morris H. DeGroot (1980)
Trabajos de Estadística e Investigación Operativa
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Consider a sequence of decision problems S, S, ... and suppose that in problem S the statistician must specify his predictive distribution F for some random variable X and make a decision based on that distribution. For example, X might be the return on some particular investment and the statistician must decide whether or not to make that investment. The random variables X, X, ... are assumed to be independent and completely unrelated. It is also assumed that each predictive distribution...
Jan Mikusiński, Roman Sikorski
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CONTENTS Introduction........................................................................................................... 3 § 1. The abstraction principle............................................................................... 4 § 2. Fundamental sequences of continuous functions......................................... 5 § 3. The definition of distributions........................................................................ 9 § 4. Distributions as a generalization of...
Matthev O. Ojo (2001)
Kragujevac Journal of Mathematics
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Fabrizio Durante, Giovanni Puccetti, Matthias Scherer, Steven Vanduffel (2016)
Dependence Modeling
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B. Kopociński, E. Trybusiowa (1966)
Applicationes Mathematicae
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A. Derdziński (1977)
Colloquium Mathematicae
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Pienaru, Ioan (1996)
General Mathematics
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Ricardo Estrada (2010)
Banach Center Publications
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It is well-known that any locally Lebesgue integrable function generates a unique distribution, a so-called regular distribution. It is also well-known that many non-integrable functions can be regularized to give distributions, but in general not in a unique fashion. What is not so well-known is that to many distributions one can associate an ordinary function, the function that assigns the distributional point value of the distribution at each point where the value exists, and that...
Stevan Pilipović (1988)
Publications de l'Institut Mathématique
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Grzegorz Łysik (1990)
Annales Polonici Mathematici
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F. A. Haight (1972)
Applicationes Mathematicae
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A. Philip Dawid (1980)
Trabajos de Estadística e Investigación Operativa
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The elimination of nuisance parameters has classically been tackled by various ad hoc devices, and has led to a number of attemps to define partial sufficiency and ancillarity. The Bayesian approach is clearly defined. This paper examines some classical procedures in order to see when they can be given a Bayesian justification.