Course: 2022/2023

Probability and Statistics

(18301)

Skills and learning outcomes

Description of contents: programme

1. Introduction to statistics
1.1. General concepts
1.2. Sampling methods
1.3. Introduction to visualization tools
2. Probability space
2.1. Basic properties
2.2. Independence and conditional probability
2.3. Total probability
2.4. Bayes theorem
3. Univariate statistics
3.1. Visualization techniques
3.2. Characteristic measures
3.3. Transformations
4. Random variables
4.1. Distributions
4.2. Characteristic measures
4.3. Transformations
4.4. Examples
5. Introduction to statistical inference
5.1. Population and sample
5.2. Sampling distribution of a statistic
5.3. The sample mean distribution
5.4. Estimation and estimators
5.5. Method of moments
5.6. Maximum likelihood
6. Confidence intervals
6.1. For the mean
6.2. For the proportion
6.3. For the variance
7. Hypothesis testing
7.1. Introduction to hypothesis testing
7.2. Type I and Type II errors
7.3. Power of a Statistical Test
7.4. p-value
8. Nonparametric goodness-of-fit tests
8.1. Chi-square tests
8.2. Kolmogorov-Smirnov tests
The program is subject to minor modifications due to the course development and/or academic calendar.

Learning activities and methodology

AF1. THEORETICAL-PRACTICAL CLASSES. Knowledge and concepts students must acquire. Receive course notes and will have basic reference texts. Students partake in exercises to resolve practical problems.
AF2. TUTORING SESSIONS. Individualized attendance (individual tutoring) or in-group (group tutoring) for students with a teacher. Subjects with 6 credits have 4 hours of tutoring with 100% on-site attendance.
AF3. STUDENT INDIVIDUAL WORK OR GROUP WORK. Subjects with 6 credits have 98 hours with 0% on-site.
AF9. FINAL EXAM. Global assessment of knowledge, skills and capacities acquired throughout the course. It entails 4 hours with 100% on-site.
MD1. THEORY CLASS. Classroom presentations by the teacher with IT and audiovisual support in which the subject's main concepts are developed, while providing material and bibliography to complement student learning.
MD2. PRACTICAL CLASS. Resolution of practical cases and problem, posed by the teacher, and carried out individually or in a group.
MD3. TUTORING SESSIONS. Individualized attendance (individual tutoring sessions) or in-group (group tutoring sessions) for students with a teacher as tutor. Subjects with 6 credits have 4 hours of tutoring with 100% on-site.

Assessment System

- % end-of-term-examination 60
- % of continuous assessment (assigments, laboratory, practicals...) 40

Basic Bibliography

- Montgomery, D. C. and Runger, G. C.. Applied Statistics and Probability for Engineers. John Wiley & Sons. 2013
- Navidi, W.. Statistics for Engineers and Scientists. McGraw-Hill. 2010
- Song, T. T.. Fundamentals of Probability and Statistics for Engineers. John Wiley & Sons. 2004

Additional Bibliography

- Guttman, L., Wilks, S. S., Hunter, J. S.. Introductory Engineering Statistics. Wiley. 1992
- Peña, D.. Fundamentos de Estadística. Alianza Editorial. 2001
- Peña, D.. Regresión y Diseño de Experimentos. Alianza Editorial. 2002

The course syllabus may change due academic events or other reasons.