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Probabilita e Statistica Matematica
Synthetic program:Probabilità. Definizione assiomatica e proprietà. Probabilità condizionata; formula di Bayes. Variabili aleatorie: modelli discreti e continui, leggi di probabilità, funzioni di densità e di ripartizione. Distribuzioni multivariate (nel caso di indipendenza quelle continue). Valore atteso, varianza, quantili. Legge dei grandi numeri. Teorema Centrale del Limite. Vettori aleatori: distribuzioni congiunte, matrice di Varianza e Covarianza, correlazione e indipendenza. Statistica Descrittiva: Strumenti grafici di esplorazione dei dati (istogrammi, boxplot, grafici a torta, funzione di ripartizione empirica, qqplot). Statistica inferenziale. Stimatori di media e varianza di una densità, errore quadratico medio di uno stimatore. Intervalli di confidenza. Intervalli di predizione. Verifica delle ipotesi per la media e la varianza, errori di I e II tipo, potenza, p-value.
Lecture Notes
Complete course:
| Type | File name | Year |
|---|---|---|
| File not available... | ||
Divided by topic:
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|---|---|---|
| File not available... | ||
Other:
| Type | File name | Year |
|---|---|---|
| Digital notes | Example of project 's report | 2010/2011 |
Exercises
Complete course:
| Type | File name | Year |
|---|---|---|
| Handwritten notes | Complete exercises with solution - Part 1 | 2017/2018 |
| Handwritten notes | Complete exercises with solution - Part 2 | 2017/2018 |
Divided by topic:
| Type | File name | Year |
|---|---|---|
| Digital notes | Exercises - grup 1 | 2018/2019 |
| Digital notes | Exercises - grup 2 | 2018/2019 |
| Digital notes | Exercises - grup 3 | 2018/2019 |
| Digital notes | Exercises - grup 4 | 2018/2019 |
Other:
| Type | File name | Year |
|---|---|---|
| File not available... | ||
Exams
First partial exam:
| Type | Date |
|---|---|
| Text and solution | 19/04/2023 |
| Text and solution | 13/04/2022 |
| Text and solution | 23/04/2021 |
| Text and solution | 15/04/2019 |
| Text and solution | 15/04/2019 |
| Text and solution | 02/05/2018 |
| Text and solution | 02/05/2018 |
| Text and solution | 02/05/2017 |
| Text and solution | 02/05/2017 |
| Text and solution | 09/05/2016 |
| Text and solution | 09/05/2016 |
| Text and solution | 30/04/2015 |
| Text and solution | 30/04/2015 |
| Text and solution | 08/05/2014 |
| Text and solution | 08/05/2014 |
| Text and solution | 07/05/2013 |
| Text and solution | 07/05/2013 |
Second partial exam:
| Type | Date | |
|---|---|---|
| File not available... | ||
Full exam:
| Type | Date |
|---|---|
| Text and solution | 20/06/2024 |
| Text and solution | 28/06/2023 |
| Text and solution | 17/02/2023 |
| Text and solution | 20/01/2023 |
| Text and solution | 29/08/2022 |
| Text and solution | 10/06/2022 |
| Text and solution | 18/02/2022 |
| Text and solution | 24/01/2022 |
| Text and solution | 27/08/2021 |
| Text and solution | 24/06/2021 |
| Text and solution | 22/01/2021 |
| Text and solution | 08/09/2020 |
| Text and solution | 03/07/2020 |
| Text and solution | 15/06/2020 |
| Text and solution | 17/01/2020 |
| Text and solution | 10/09/2019 |
| Text and solution | 05/07/2019 |
| Text and solution | 13/02/2017 |
| Text and solution | 09/09/2016 |
| Text and solution | 19/07/2016 |
| Text and solution | 04/07/2016 |
| Text and solution | 11/01/2016 |
| Text and solution | 16/09/2015 |
| Text and solution | 23/07/2015 |
| Text and solution | 09/07/2015 |
| Text and solution | 16/02/2015 |
| Text and solution | 02/09/2014 |
| Text and solution | 14/07/2014 |
| Text and solution | 27/06/2014 |
| Text and solution | 05/02/2014 |
| Text and solution | 16/09/2013 |
| Text and solution | 16/07/2013 |
| Text and solution | 24/06/2013 |
Oral exam:
| Type | Date | |
|---|---|---|
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Multiple choice test:
Other:
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|---|---|---|
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Other
Laboratory:
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Projects:
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|---|---|---|
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Presentations:
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|---|---|---|
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Collections of notes, exercises or exams:
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Tables:
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|---|---|---|
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Etc:
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|---|---|---|
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Live
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Quick contents:
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|---|---|---|
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