Probabilities and Statistics

Code:

LGE206

Acronym:

P EST

Keywords
Classification	Keyword
OFICIAL	Mathematics and Informatics

Instance: 2005/2006 - 1S

Active?	Yes
Web Page:	http://vista.up.pt/
Responsible unit:	Matematics and Informatics Group
Course/CS Responsible:	Business Administration

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
GES	234	Official Curricular Structure since 2004	2	3		-

Objectives

The course aims to supply students with the techniques of exploratory statistical and probabilistic analysis.
In this way, from an exploratory point of view, the student will learn description approaches of a sample with one or two variables. The course also aims to give the students the necessary tools for a probabilistic approach, that is to say, the analysis of the population from the results obtained in the sample. With this objective, probability theory, random variables and random vectors are studied.

Program

I. Introduction to Statistics: Population and sample. Relationship between statistics
and probability theory. Descriptive statistics and inductive statistics.

II. Descriptive statistics:
1. Unidimensional sample: elementary treatment of discrete data samples and classified data.
2. Bidimensional samples: simple linear regression, correlation.
III. Probability Theory:
1. Probability axiomatic; Probabilities calculation;
2. Random variables;
3. Random vectors;

Main Bibliography

Murteira, B., Ribeiro, C. S., Silva, J. A., Pimenta, C., "Introdução à Estatística", McGraw-Hill, 2002.

Murteira, Bento, “Análise Exploratória de Dados”, McGraw-Hill, 1993.

Murteira, Bento, "Probabilidades e Estatística", Vol. I, II, McGraw-Hill, 1990 (2nd ed.).

Alexander M. Mood, Franklin A. Graybill, Duane C. Boes,
“Introduction to the Theory of Statistics”, McGraw-Hill, 1987 (3rd ed.).

Complementary Bibliography

Tiago de Oliveira, J., “Probabilidades e Estatística”, Vol. I, II, McGraw-Hill, 1971.

Pestana, D. D., Velosa, S. F., “Introdução à Probabilidade e à Estatística”, Fundação Calouste Gulbenkian, 2002.

Wonnacot, T. H., Wonnacot, R. J., “Introductory Statistics”, Wiley, 1990 (5th ed.).

Kreyszig, Erwin, "Introductory Mathematical Statistics", Wiley, 1970.

Saporta, Gilbert, “Probabilités, Analyse des Données et Statistique”, Technip, 1990.

EXERCISES BOOK
Carlos D. Paulino, João A. Branco,"Exercícios de Probabilidades e Estatística", Escolar Editora, 2005.

Teaching methods and learning activities

Theoretical - Practical Classes.
All Classes are in Portuguese.

Software

Microsoft Excel or Minitab or R

Evaluation Type

Distributed evaluation with final exam

Calculation formula of final grade

NE1
or
NE2 x 0.7 + NT x 0.3