Improving predictive distributions.

Morris H. DeGroot

Trabajos de Estadística e Investigación Operativa (1980)

  • Volume: 31, Issue: 1, page 385-395
  • ISSN: 0041-0241

Abstract

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Consider a sequence of decision problems S1, S2, ... and suppose that in problem Si the statistician must specify his predictive distribution Fi for some random variable Xi and make a decision based on that distribution. For example, Xi might be the return on some particular investment and the statistician must decide whether or not to make that investment. The random variables X1, X2, ... are assumed to be independent and completely unrelated. It is also assumed that each predictive distribution Fi assigned by the statistician is a subjective distribution based on his information and beliefs about Xi. In this context, the standard Bayesian approach provides no basis for evaluating whether the statistician's subjective predictive distribution for Xi is good or bad, and does not even recognize this question as being meaningful. In this paper we describe models in which the statistician can study his process for specifying predictive distributions, identify bad habits, and improve his predictions and decisions by gradually breaking these habits.

How to cite

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DeGroot, Morris H.. "Improving predictive distributions.." Trabajos de Estadística e Investigación Operativa 31.1 (1980): 385-395. <http://eudml.org/doc/40836>.

@article{DeGroot1980,
abstract = {Consider a sequence of decision problems S1, S2, ... and suppose that in problem Si the statistician must specify his predictive distribution Fi for some random variable Xi and make a decision based on that distribution. For example, Xi might be the return on some particular investment and the statistician must decide whether or not to make that investment. The random variables X1, X2, ... are assumed to be independent and completely unrelated. It is also assumed that each predictive distribution Fi assigned by the statistician is a subjective distribution based on his information and beliefs about Xi. In this context, the standard Bayesian approach provides no basis for evaluating whether the statistician's subjective predictive distribution for Xi is good or bad, and does not even recognize this question as being meaningful. In this paper we describe models in which the statistician can study his process for specifying predictive distributions, identify bad habits, and improve his predictions and decisions by gradually breaking these habits.},
author = {DeGroot, Morris H.},
journal = {Trabajos de Estadística e Investigación Operativa},
keywords = {Predicción estadística; Análisis bayesiano},
language = {eng},
number = {1},
pages = {385-395},
title = {Improving predictive distributions.},
url = {http://eudml.org/doc/40836},
volume = {31},
year = {1980},
}

TY - JOUR
AU - DeGroot, Morris H.
TI - Improving predictive distributions.
JO - Trabajos de Estadística e Investigación Operativa
PY - 1980
VL - 31
IS - 1
SP - 385
EP - 395
AB - Consider a sequence of decision problems S1, S2, ... and suppose that in problem Si the statistician must specify his predictive distribution Fi for some random variable Xi and make a decision based on that distribution. For example, Xi might be the return on some particular investment and the statistician must decide whether or not to make that investment. The random variables X1, X2, ... are assumed to be independent and completely unrelated. It is also assumed that each predictive distribution Fi assigned by the statistician is a subjective distribution based on his information and beliefs about Xi. In this context, the standard Bayesian approach provides no basis for evaluating whether the statistician's subjective predictive distribution for Xi is good or bad, and does not even recognize this question as being meaningful. In this paper we describe models in which the statistician can study his process for specifying predictive distributions, identify bad habits, and improve his predictions and decisions by gradually breaking these habits.
LA - eng
KW - Predicción estadística; Análisis bayesiano
UR - http://eudml.org/doc/40836
ER -

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