THREE-DIMENSIONAL MODELING

Course objectives

GENERAL OBJECTIVES The course aims to provide students with a basic understanding of concepts and tools relevant in managing uncertainty through Probability and Statistics. Specifically, the course aims to help students understand: events and the Mathematical approach via sets; random variables and random elementary models; transformations of random variables and random simple models; independence and a gentle introduction to the analysis of dependence; limit theorems with applications to the sample size; basics on descriptive statistics; the linear model; parametric estimation. SPECIFIC OBJECTIVES KNOWLEDGE AND UNDERSTANDING. The course will enable students to acquire knowledge and understanding of the main concepts and fundamental tools of Probability and Statistics. Students will learn to recognize and master random models and apply them in real-world contexts for data analysis. APPLICATIVE SKILLS. Thanks to the course, students will be able to critically classify and analyse data in order to build a model via parameters estimation. JUDGMENT AUTONOMY. The course will empower students to choose and properly characterize models via data. COMMUNICATION SKILLS. By the end of the course, students will be able to illustrate models and data with reporting processes understandable to professionals. LEARNING ABILITY. Students will develop independent study skills and critical understanding and evaluation of probabilistic and statistical methodologies.

Channel 1
MIRKO D'OVIDIO Lecturers' profile

Program - Frequency - Exams

Course program
Descriptive statistics. Events. Operations on events. Probability and measures. Probability of events. Random variables. Probability distributions. Expected value and moments. Conditional events and conditional probability. Stochastic independence. Bayes theorem. Cumulative distribution function and density function. Random vectors and marginal distributions. Transformations of random variables. Transforms of densities. Generation of pseudo-random variables. Sum of random variables. Convergences and limit theorems, applications (Monte Carlo method).
Prerequisites
mathematical analysis, geometry
Books
1) Appunti di Probabilità e Statistica. Mirko D'Ovidio. 2) Calcolo delle Probabilità. Paolo Baldi. McGraw-Hill.
Teaching mode
oral and written exam
Frequency
strongly recommended
Exam mode
Oral and written exams aimed at verifying the achievement of the course objectives. In particular, the evaluation takes into account acquired skills (written exam, 50%) the acquired theoretical knowledge and the ability to process and communicate (oral exam, 50%). Please, consult the web page https://www.sbai.uniroma1.it/~mirko.dovidio/PGS/lectures
Lesson mode
in presence
Channel 2
MIRKO D'OVIDIO Lecturers' profile

Program - Frequency - Exams

Course program
Descriptive statistics. Events. Operations on events. Probability and measures. Probability of events. Random variables. Probability distributions. Expected value and moments. Conditional events and conditional probability. Stochastic independence. Bayes theorem. Cumulative distribution function and density function. Random vectors and marginal distributions. Transformations of random variables. Transforms of densities. Generation of pseudo-random variables. Sum of random variables. Convergences and limit theorems, applications (Monte Carlo method).
Prerequisites
mathematical analysis, geometry
Books
1) Appunti di Probabilità e Statistica. Mirko D'Ovidio. 2) Calcolo delle Probabilità. Paolo Baldi. McGraw-Hill.
Teaching mode
oral and written exam
Frequency
strongly recommended
Exam mode
Oral and written exams aimed at verifying the achievement of the course objectives. In particular, the evaluation takes into account acquired skills (written exam, 50%) the acquired theoretical knowledge and the ability to process and communicate (oral exam, 50%). Please, consult the web page https://www.sbai.uniroma1.it/~mirko.dovidio/PGS/lectures
Lesson mode
in presence
  • Academic year2025/2026
  • CourseManagement Engineering
  • CurriculumSingle curriculum
  • Year1st year
  • Semester2nd semester
  • SSDMAT/06
  • CFU6