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## INFERENTIAL STATISTICS

CODE 48384 2016/2017 8 credits during the 2nd year of 8766 Mathematical Statistics and Data Management (L-35) GENOVA 8 credits during the 3nd year of 8760 Mathematics (L-35) GENOVA 8 credits during the 1st year of 9011 Mathematics (LM-40) GENOVA SECS-S/01 Italiano GENOVA (Mathematical Statistics and Data Management) 2° Semester AULAWEB

## OVERVIEW

Introduction to Inferential Statistics

## AIMS AND CONTENT

### LEARNING OUTCOMES

To provide the main ideas and techniques of inferential statistics in order to estimate , under a probability model, the errors involved when inferring from a sample to a population.

### TEACHING METHODS

Combination of traditionals lectures (40 hours) and exercises sessions (24 hours)

### SYLLABUS/CONTENT

Sampling and estimation. Populations, samples and point estimators. Properties of point estimators. Some point estimators and their probability distributions. Confidence intervals. Hypothesis tests. How to define and use a statistical test (hypotheses, errors of the first and second type, critical region). Parametric tests. Tests of large samples. Comparative tests. Some non-parametric tests.

Statistics and tests for linear multiple models. Confidence intervals for the parameters, estimated values and residuals, "studentized" residuals, test of hypotheses on single coefficients and on subsets of coefficients. Forecast.

### RECOMMENDED READING/BIBLIOGRAPHY

Casella G., Berger R.L. (2002), Statistical Inference, Pacific Grove, CA: Duxbury

Mood A.M., Graybill F.A., Boes D.C. (1991), Introduction to the Theory of Statistics, McGraw-Hill, Inc.

Rogantin M.P. (2004), Introduzione alla statistica, C.L.U.T., Torino

Ross S.M. (2003), Probabilità e statistica per l’ingegneria e le scienze, Apogeo, Milano

Wasserman L. (2005), All of Statistics, Springer

## TEACHERS AND EXAM BOARD

### Exam Board

ELDA GUALA (President)

EVA RICCOMAGNO (President)

IVANO GIANLUIGI REPETTO

EMANUELA SASSO

## LESSONS

### TEACHING METHODS

Combination of traditionals lectures (40 hours) and exercises sessions (24 hours)

### LESSONS START

February 20, 2017

### Class schedule

All class schedules are posted on the EasyAcademy portal.

## EXAMS

### EXAM DESCRIPTION

Oral and written exam

### Exam schedule

Date Time Location Type Notes
07/06/2017 09:00 GENOVA Scritto
03/07/2017 09:00 GENOVA Scritto
13/09/2017 09:00 GENOVA Scritto