Comparisons between the s-value and some classical measures of evidences

• Grant number: 14/25595-0
• Support Opportunities: Scholarships abroad - Research
• Start date: September 30, 2015
• End date: December 29, 2015
• Field of knowledge: Physical Sciences and Mathematics - Probability and Statistics - Statistics
• Principal Investigator: Alexandre Galvão Patriota
• Grantee: Alexandre Galvão Patriota
• Host Investigator: David Robert Bickel
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Institution abroad: University of Ottawa (uOttawa), Canada

Abstract

This project intends to explore some relations between the likelihood-based $s$-value proposed by Patriota (2013) [Fuzzy Sets and Systems, 233, 74-88] and other classical methods of inference, e.g., the $c$-value proposed by Bickel (2014) [Working paper] and the Fiducial inference proposed by Fisher (1930) [Proceedings of the Cambridge Philosophical Society, 26, 528-535]. The main goal is to technically examine the main differences and similarities among such related measures.

Scientific publications

(4)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

BICKEL, DAVID R.; PATRIOTA, ALEXANDRE G.. Self-consistent confidence sets and tests of composite hypotheses applicable to restricted parameters. BERNOULLI, v. 25, n. 1, p. 47-74, FEB 2019. (14/25595-0)

PATRIOTA, ALEXANDRE GALVAO. On Some Assumptions of the Null Hypothesis Statistical Testing. EDUCATIONAL AND PSYCHOLOGICAL MEASUREMENT, v. 77, n. 3, p. 507-528, JUN 2017. (14/25595-0)

ALEJANDRO GONZALEZ, JOSE; MAURICIO CASTRO, LUIS; LACHOS, VICTOR HUGO; PATRIOTA, ALEXANDRE GALVAO. A Confidence Set Analysis for Observed Samples: A Fuzzy Set Approach. Entropy, v. 18, n. 6, JUN 2016. (12/19445-0, 14/25595-0, 11/17400-6)

PATRIOTA, ALEXANDRE GALVAO. A measure of evidence based on the likelihood-ratio statistics. STATISTICAL PAPERS, v. 63, n. 6, p. 21-pg., 2022-03-05. (14/25595-0)