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 | |
| 2023/2024 |
| OBBLIGATORIO | |
| YEAR OF COURSE 1 | |
| YEAR OF DIDACTIC SYSTEM 2018 | |
| SPRING SEMESTER |
| SSD | CFU | HOURS | ACTIVITY | |
|---|---|---|---|---|
| SECS-S/02 | 5 | 30 | LESSONS |
| 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. |
| Contents | |
|---|---|
| INTRODUCTION TO PROBABILITY. CONDITIONAL PROBABILITY AND INDEPENDENCE. BAYES' THEOREM. (10 HOURS) RANDOM VARIABLES AND PROBABILITY DISTRIBUTIONS. DISCRETE PROBABILITY DISTRIBUTIONS: BINOMIAL, POISSON, HYPERGEOMETRIC. (8 HOURS) CONTINUOUS PROBABILITY DISTRIBUTIONS: NORMAL, T-STUDENT, CHI-SQUARE, EXPONENTIAL. (8 HOURS) MULTIVARIATE RANDOM VARIABLES. LIMIT THEOREMS. (4 HOURS) |
| Teaching Methods | |
|---|---|
| THE COURSE CONSISTS OF 30 HOURS DIVIDED INTO LECTURES AND CASE STUDIES AND EXERCISES. |
| Verification of learning | |
|---|---|
| THE EVALUATION OF THE PROFIT IS MADE ON THE BASIS OF A WRITTEN TEST AND AN ORAL TEST. THE WRITTEN TEST (60 MINUTES) IS DEVOTED TO ASSESSING THE STUDENT'S CAPACITY TO APPLY THE TOOLS ACQUIRED DURING THE COURSE TO REALISTIC CONTEXTS. THE TRACK OF THE WRITTEN TEST INCLUDES SEVERAL QUESTIONS WORTH 1-8 POINTS (EXPRESSLY INDICATED ON THE TRACK), FOR A TOTAL SCORE OF 30. THE ORAL TEST, OF ABOUT 15 MINUTES, IS DEVOTED TO EVALUATING THE ARGUMENTATION CAPACITY, THE ACCURACY OF LANGUAGE AND THE ABILITY TO MAKE CRITICAL USE OF THE ACQUIRED STATISTICAL TOOLS. THE FINAL SCORE WILL TAKE INTO ACCOUNT BOTH THE WRITTEN AND ORAL EVALUATIONS. |
| Texts | |
|---|---|
| MOOD, A.M., GRAYBILL, F.A., BOES, D.C. - INTRODUCTION TO THE THEORY OF STATISTICS FURTHER TEACHING MATERIAL PROVIDED DURING THE COURSE |
| More Information | |
|---|---|
| ADDITIONAL INFORMATION AND/OR MATERIALS ARE SUPPLIED ON THE TEACHER'S WEB PAGE |
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