Maria Lucia PARRELLA | PROBABILISTIC MODELS FOR DATA ANALYSIS
Maria Lucia PARRELLA PROBABILISTIC MODELS FOR DATA ANALYSIS
cod. 0212800026
PROBABILISTIC MODELS FOR DATA ANALYSIS
| 0212800026 | |
| DEPARTMENT OF ECONOMICS AND STATISTICS | |
| EQF6 | |
| STATISTICS FOR BIG DATA | |
| 2024/2025 |
| OBBLIGATORIO | |
| YEAR OF COURSE 1 | |
| YEAR OF DIDACTIC SYSTEM 2018 | |
| SPRING SEMESTER |
| SSD | CFU | HOURS | ACTIVITY | |
|---|---|---|---|---|
| SECS-S/02 | 5 | 30 | LESSONS |
| Exam | Date | Session | |
|---|---|---|---|
| PARRELLA | 19/12/2024 - 09:30 | SESSIONE ORDINARIA | |
| PARRELLA | 19/12/2024 - 09:30 | SESSIONE DI RECUPERO |
| Objectives | |
|---|---|
| THE COURSE AIMS TO PROVIDE STUDENTS WITH THE FUNDAMENTAL PROBABILISTIC THEORY AND TOOLS USED TO PLAN AND INTERPRET EXPERIMENTAL STATISTICAL SURVEYS. KNOWLEDGE AND UNDERSTANDING CAPACITY: AT THE END OF THE COURSE, THE STUDENT WILL BE ABLE TO UNDERSTAND THE MAIN PROBABILISTIC MODELS FOR UNIVARIATE AND MULTIVARIATE RANDOM VARIABLES AND TO USE THEM IN VARIOUS APPLICATION CONTEXTS, BOTH REAL AND SIMULATED. THE PROGRAM COVERED WILL PROVIDE THE FUNDAMENTAL PROBABILISTIC TOOLS USEFUL FOR UNDERSTANDING STATISTICAL INFERENCE AND THE FUNCTIONING OF THE MAIN SAMPLING TECHNIQUES. ABILITY TO APPLY KNOWLEDGE AND UNDERSTANDING: THE ACQUIRED TOOLS WILL ALLOW THE STUDENT TO APPROPRIATELY DEFINE AND PLAN STATISTICAL SURVEYS, TO IDENTIFY THE MOST APPROPRIATE PROBABILISTIC METHODOLOGY FOR DATA UNDER EXAMINATION, TO OBTAIN AND UNDERSTAND THE FINAL RESULTS, TO EVALUATE THEM CRITICALLY, AND TO COMMUNICATE WHAT IS MADE EVIDENT BY THE STATISTICAL RESULTS OBTAINED FROM THE ANALYSIS. |
| Prerequisites | |
|---|---|
| BASIC KNOWLEDGE IN CALCULUS AND MATRIX ALGEBRA IS REQUIRED. |
| Contents | |
|---|---|
| -TOPIC 1: INTRODUCTION TO PROBABILITY. CONDITIONAL PROBABILITY AND INDEPENDENCE. BAYES' THEOREM. (LECTURES 8 HOURS; LABORATORY 2 HOURS) -TOPIC 2: RANDOM VARIABLES AND PROBABILITY DISTRIBUTIONS. DISCRETE PROBABILITY DISTRIBUTIONS: BINOMIAL, POISSON, HYPERGEOMETRIC. (LECTURES 8 HOURS) -TOPIC 3: CONTINUOUS PROBABILITY DISTRIBUTIONS: NORMAL, T-STUDENT, CHI-SQUARE, EXPONENTIAL. (LECTURES 8 HOURS) -TOPIC 4: MULTIVARIATE RANDOM VARIABLES. LIMIT THEOREMS. (LECTURES 2 HOURS; LABORATORY 2 HOURS) |
| Teaching Methods | |
|---|---|
| THE COURSE CONSISTS OF 30 HOURS DIVIDED INTO LECTURES (26 HOURS) AND TUTORIALS IN THE COMPUTER LABORATORY (4 HOURS). THE LECTURES WILL ALLOW THE STUDENT TO ACQUIRE THE BASIC THEORETICAL KNOWLEDGE OF PROBABILITY. LABORATORY EXERCISES WILL ALLOW THE STUDENT TO DEVELOP THE ABILITY TO PRACTICALLY APPLY THEORETICAL NOTIONS TO REAL OR SIMULATED PROBLEMS, USING THE R STATISTICAL SOFTWARE. PARTICIPATION IN FRONTAL LESSONS IS NOT MANDATORY, BUT STRONGLY RECOMMENDED. |
| Verification of learning | |
|---|---|
| THE STUDENT'S ASSESSMENT IS CARRIED OUT ON THE BASIS OF A PRACTICAL TEST AND AN ORAL TEST. THE PRACTICAL TEST CONSISTS OF THE INDEPENDENT AND PRELIMINARY DEVELOPMENT OF AN ESSAY CONCERNING THE ANALYSIS OF REAL OR SIMULATED DATA, PREVIOUSLY AGREED WITH THE TEACHER, USING THE R SOFTWARE. IT AIMS TO ASSESS THE STUDENT'S ABILITY TO WORK AUTONOMALLY/IN GROUP AND PRACTICALLY APPLY THE PROBABILISTIC TOOLS ACQUIRED DURING THE COURSE. THE ESSAY MUST BE SUBMITTED AT LEAST 5 DAYS BEFORE THE EXAM DATE (VIA E-MAIL TO THE TEACHER) AND IS ASSESSED BY THE TEACHER TAKING INTO ACCOUNT THE METHODOLOGICAL RIGOUR, THE CLARITY OF THE EXPOSURE AND THE CORRECTNESS OF THE CALCULATION PROCEDURES. THE ORAL TEST, OF ABOUT 20 MINUTES, IS INTENDED TO EVALUATING THE ARGUMENTATION CAPACITY, THE ACCURACY OF LANGUAGE AND THE ABILITY TO MAKE CRITICAL USE OF THE ACQUIRED PROBABILISTIC TOOLS. THE FINAL SCORE WILL TAKE INTO ACCOUNT BOTH THE PRACTICAL AND ORAL EVALUATIONS. |
| Texts | |
|---|---|
| -MOOD, A.M., GRAYBILL, F.A., BOES, D.C. - INTRODUCTION TO THE THEORY OF STATISTICS -ADDITIONAL MATERIALS PROVIDED BY THE TEACHER AND MADE AVAILABLE ON THE COURSE ONLINE PLATFORM |
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