Natural induction: An objective bayesian approach
نویسندگان
چکیده
منابع مشابه
Natural Induction: An Objective Bayesian Approach
The statistical analysis of a sample taken from a finite population is a classic problem for which no generally accepted objective Bayesian results seem to exist. Bayesian solutions to this problem may be very sensitive to the choice of the prior, and there is no consensus as to the appropriate prior to use. This paper uses new developments in reference prior theory to justify and generalize Pe...
متن کاملRejoinder on: Natural induction: An objective Bayesian approach
Girón and Moreno. We certainly agree with Professors Girón and Moreno on the interest in sensitivity of any Bayesian result to changes in the prior. That said, we also consider of considerable pragmatic importance to be able to single out a unique, particular prior which may reasonably be proposed as the reference prior for the problem under study, in the sense that the corresponding posterior ...
متن کاملComments on: Natural induction: An objective Bayesian approach
Berger, Bernardo and Sun’s thought-provoking paper offers a Bayesian resolution to the difficult philosophical problem raised by inductive inference. In a nutshell, the philosophical problem plaguing inductive inference is that no finite number of past occurrences of an event can prove its continuing occurrence in the future. It is thus natural to seek probabilistic reassurance for our instinct...
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In this paper we give a decision-theoretic oriented, objective Bayesian answer to the problems of point estimating and sharp hypothesis testing about the correlation coefficient of a bivariate Normal population. Under this view both problems are deemed closely related and thus a coherent answer is developed. Comparisons with frequentist results are given and an alternative interpretation of the...
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ژورنال
عنوان ژورنال: Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas
سال: 2009
ISSN: 1578-7303,1579-1505
DOI: 10.1007/bf03191839