Artículos de revistas
A Confidence Set Analysis For Observed Samples: A Fuzzy Set Approach
Registro en:
Entropy. Mdpi Ag, v. 18, p. , 2016.
1099-4300
WOS:000378843200015
10.3390/e18060211
Autor
Alejandro Gonzalez
Jose; Mauricio Castro
Luis; Lachos
Victor Hugo; Patriota
Alexandre Galvao
Institución
Resumen
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Confidence sets are generally interpreted in terms of replications of an experiment. However, this interpretation is only valid before observing the sample. After observing the sample, any confidence sets have probability zero or one to contain the parameter value. In this paper, we provide a confidence set analysis for an observed sample based on fuzzy set theory by using the concept of membership functions. We show that the traditional ad hoc thresholds (the confidence and significance levels) can be attained from a general membership function. The applicability of the newly proposed theory is demonstrated by using well-known examples from the statistical literature and an application in the context of contingency tables. 18 6 Convenio de Desempeno en Formacion de Profesores UPA [1203] CONICYT-Chile through BASAL project CMM, Universidad de Chile Fundacao de Amparo a Pesquisa do Estado de Sao Paulo (FAPESP-Brazil) [2012/19445-0] Conselho Nacional de Desenvolvimento Cientifico e Tecnologico (CNPq-Brazil) [2011/305054-2, 200115/2015-4/PDE] FAPESP-Brazil [2011/17400-6, 2014/25595-0] Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)