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12789 Mathematical statistics - Five-year degree in Mathematics


Center
Faculty of Mathematics
Departament
Statistics and Operational Research
Lecturers in charge
Sin datos cargados
Met. Docent
Theoretical developments will be described in formal lectures. Practical sessions will be programmed to further analyse the theoretical concepts and their applications. Some of these practical sessions will include experimental verification, by simulation, of the properties of statistical procedures
Met. Avaluació
There will be a mid-term exam in February, a final exam in June and an extraordinary exam in September. Participation in practical sessions and activities proposed by the teacher will be considered.
Bibliografia
* Abellán & et al. (2000). Práctiques d´Estadística Matemática. Univ. de València.
* Berry D. A. & Lindgren, B. W. (1996). Statistics: Theory and Methods. Duxbury.
* Casella, G. and Berger, R. L. (2002). Statistical Inference (2 ed). Brooks.
* De la Horra, J. (2004). Estadística Aplicada (3ª edición). Díaz de Santos.
* DeGroot, M. H. (1988). Probabilidad y Estadística. Addison-Wesley Iberoamericana.
* DeGroot, M. H. & Schervish, M. J. (2002). Probability and Statistics (3 ed). Addison-Wesley.
* Gómez-Villegas, M.A. (2005). Inferencia Estadística. Díaz de Santos.
* Peña, D. (1999). Estadística: Modelos y Métodos (10 ed). Alianza Universidad.
Continguts
1. Introduction to statistical inference techniques and their applications.
2. Random samples and sampling distributions.
3. Principles of data reduction.
4. Estimation
5. Hypothesis testing
6. Linear models

Objetius
Definition and critical analysis of basic concepts in Mathematical Statistics. Analysis of the conditions under which it is possible to draw inferential conclusions from random samples, formalization of the mathematical structure of those conclusions, and derivation of their formal mathematical properties. Some applications.
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