6533b860fe1ef96bd12c3841

RESEARCH PRODUCT

Distribucion final de referencia para el problema de Fieller-Creasy

Mario Sendra

subject

Statistics and ProbabilityStatisticsCalculusVariance (accounting)Statistics Probability and UncertaintyBayesian solutionMathematics

description

The problem of making inferences about the ratio of two normal populations is usually known as the Fieller-Creasy problem, and it gave rise to a controversy among fiducialists and confidence-intervalists. A Bayesian solution to such a problem when the two normal populations have the same unknown variance was presented by Bernardo (1977) using reference non-informative prior distributions. The solution to the case in which the variances are not assumed equal is obtained here. Some numerical results for artificial populations are given

https://doi.org/10.1007/bf02888434