Updating of moments
Klaus Pötzelberger
Journal of Multivariate Analysis, 1990, vol. 33, issue 2, 220-229
Abstract:
Consider a statistical model, given by the distribution of the observation X, conditional on the parameter [theta], and the prior distribution of the parameter [theta]. Let Hx denote the function that maps the prior mean and the prior covariance matrix into the posterior mean and the posterior covariance matrix, when X = x is observed. We prove that if the conditional distribution of X belongs to an exponential family, then the function Hx characterizes the distribution of X[short parallel][theta].
Keywords: updating; of; moments; exponential; families; Bayesian; analysis; characterization; of; distributions (search for similar items in EconPapers)
Date: 1990
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Persistent link: https://EconPapers.repec.org/RePEc:eee:jmvana:v:33:y:1990:i:2:p:220-229
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