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A Study on the Role of Pivots in Bayesian Statistics
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 Title & Authors
A Study on the Role of Pivots in Bayesian Statistics
Hwang, Hyungtae;
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 Abstract
The concept of pivot has been widely used in various classical inferences. In this paper, it is proved by use of pivotal quantities that the Bayesian inferences can be arrived at the same results of classical inferences for the location-scale parameters models under the assumption of non-informative prior distributions. Some theorems are proposed in which the posterior distribution and the sampling distribution of a pivotal quantity coincide. The theorems are applied illustratively to some statistical models.
 Keywords
pivotal quantity;sampling distribution;posterior distribution;location-scale parameters;shape parameter;non-informative prior distributions;
 Language
English
 Cited by
1.
A Study on Bayesian p-values,;;

Communications for Statistical Applications and Methods, 2002. vol.9. 3, pp.725-732 crossref(new window)
2.
A Bayesian Approach to Finite Population Sampling Using the Concept of Pivotal Quantity,;

Communications for Statistical Applications and Methods, 2003. vol.10. 3, pp.647-654 crossref(new window)
1.
A Study on Bayesian p-values, Communications for Statistical Applications and Methods, 2002, 9, 3, 725  crossref(new windwow)
2.
On limiting posterior distributions, TEST, 2005, 14, 2, 567  crossref(new windwow)
3.
A Bayesian Approach to Finite Population Sampling Using the Concept of Pivotal Quantity, Communications for Statistical Applications and Methods, 2003, 10, 3, 647  crossref(new windwow)
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Bayesian Statistics: on Introduction, 1989.