Statistics and Probability

Code:

EEC0011

Acronym:

PEST

Keywords
Classification	Keyword
OFICIAL	Mathematics

Instance: 2010/2011 - 1S

Active?	Yes
Web Page:	http://paginas.fe.up.pt/~imf/aulas_pest
Responsible unit:	Fundamental Sciences and Electrotechnics
Course/CS Responsible:	Master in Electrical and Computers Engineering

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
MIEEC	329	Syllabus (Transition) since 2010/2011	2	-	6	63	162
		Syllabus	2	-	6	63	162

Teaching language

Portuguese

Objectives

This course aims to endow students with underlying knowledge of Statistics and Probability, which is indispensable to take decisions in uncertainty situations that happen in various areas of Engineering.
This course also aims to endow students with accurate communication skills when themes in the domain of Statistics and Probability are referred. Students will also develop a critical attitude in the analysis of engineering problems and they will be able to apply their knowledge in the resolution of practical problems. The adequate learning of the fundamental concepts of this course will make students able to easily learn advanced knowledge in their future career, both academic and professional.

Program

1) Probabilities
Conditional probability and independence; Bayes’ theorem

2) Random Variables
One-dimensional and multidimensional random variables; functions of random variables; most important distributions (discrete and continuous)

3) Sampling
Samples and sampling distributions

4) Point estimate
Estimators and estimates; desirable properties if point estimates; estimation methods (method of least squares)

5) Interval estimate
Concept of confidence interval; specification of confidence intervals; sampling dimensioning;

6) Hypothesis testing
Introduction; hypothesis testing procedures; relationship between confidence intervals and hypothesis testing; dispersion and localization testing

7) Introduction to stochastic processes
Notion of discrete stochastic processes; average and correlation of a discrete stochastic process; stationary stochastic processes; ergodic stochastic processes; white noise; Wiener’s model

Mandatory literature

Guimarães, Rui Manuel Campos; Estatística. ISBN: 978-84-481-5589-6
Meyer, Paul L.; Probabilidade. ISBN: 85-216-0294-4
Isabel Ferreira; Probabilidades e Estatística, 2007

Complementary Bibliography

Papoulis, Athanasios; Probability, random variables, and stochastic processes. ISBN: 0-07-100870-5
Wackerly, Dennis D.; Mathematical statistics with applications. ISBN: 0-534-37741-6
Pedrosa, António Carvalho; Introdução computacional à probabilidade e estatística. ISBN: 972-0-06056-5

Teaching methods and learning activities

Theoretical-classes: presentation of the themes of the course illustrated by examples, which explain the concepts and results presented;

Theoretical-practical classes: exercises proposed and solved by the professor. Students will be encouraged to actively participate in class by suggesting solutions to the exercises and by criticizing results.

Evaluation Type

Distributed evaluation with final exam

Assessment Components

Description	Type	Time (hours)	Weight (%)	End date
Attendance (estimated)	Participação presencial	52,00
Final Examination	Exame	32,00		2011-01-31
	Total:	-	0,00

Amount of time allocated to each course unit

Description	Type	Time (hours)	End date
Study	Estudo autónomo	78	2011-01-29
	Total:	78,00

Eligibility for exams

Students have to attend to classes (they cannot miss more than three theoretical-practical classes), according to Article 4, Paragraph 1 of General Evaluation Rules of FEUP, and they have to reach a minimum mark of 40% in the continuous assessment component, to be admitted to exams.

According to number 3 of paragraph 4 of General Evaluation Rules of FEUP, students with a special status (working-students, military personnel) do not need to attend to classes. Students who attended to this course in 2008/2009 do not need to attend classes either, and it will be considered their continuous assessment mark.

Calculation formula of final grade

FM= 0,25* CA + 0,75 * FE

FM- Final Mark (from 0 to 20)
FE- Final Mark (from 0 to 20)
CA- Continuous Assessment (from 0 to 20)

Students have to reach a minimum mark of 30% in the final exam to complete the course (7 out of 20).
Continuous assessment will be based on 5/6 exercises. The exercise with the worst classification will not be taken into account in the continuous assessment mark.

Special assessment (TE, DA, ...)

Students who do not need to attend classes and that opt not to take the continuous assessment component, or who do not want to keep their 2008/2009 continuous assessment mark, are admitted to exams, being their final mark the mark of the exam.

Classification improvement

Students can improve their marks by attending to a new exam, which will take place at the two following seasons. It may include an extra exercise related to the continuous assessment component.