Ministerio de Educacion

Mutual influence between different views of probability and statistical inference

Borovcnik, Manfred (2021). Mutual influence between different views of probability and statistical inference. Revista Paradigma, 42(Extra 1), pp. 221-256 .

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In this paper, we analyse the various meanings of probability and its different applications, and we focus especially on the classical, the frequentist, and the subjectivist view. We describe the different problems of how probability can be measured in each of the approaches, and how each of them can be well justified by a mathematical theory. We analyse the foundations of probability, where the scientific analysis of the theory that allows for a frequentist interpretation leads to unsolvable problems. Kolmogorov’s axiomatic theory does not suffice to establish statistical inference without further definitions and principles. Finally, we show how statistical inference essentially determines the meaning of probability and a shift emerges from purely objectivist views to a complementary conception of probability with frequentist and subjectivist constituents. For didactical purpose, the result of the present analyses explains basic problems of teaching, originating from a biased focus on frequentist aspects of probability. It also indicates a high priority for the design of suitable learning paths to a complementary conception of probability. In the applications, modellers use information in a pragmatic way processing this information regardless of its connotation into formal mathematical models, which are always thought as essentially wrong but useful.

Tipo de Registro:Artículo
Términos clave:Otros términos clave específicos no incluidos en las secciones anteriores > R-S > Significado
10. Otras nociones de Educación Matemática > Enfoques de las matemáticas escolares > Conceptual-teórico
13. Matemáticas escolares > Probabilidad
13. Matemáticas escolares > Estadística > Inferencia
Nivel Educativo:_Ningún nivel educativo
Código ID:23682
Depositado Por:Valeria Maestre
Depositado En:24 Nov 2021 16:57
Fecha de Modificación Más Reciente:24 Nov 2021 16:57

Personal del repositorio solamente: página de control del documento


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