# Matematica | MATHEMATICAL STATISTICS

## Matematica MATHEMATICAL STATISTICS

 0522200018 DIPARTIMENTO DI MATEMATICA EQF7 MATHEMATICS 2022/2023

 YEAR OF COURSE 2 YEAR OF DIDACTIC SYSTEM 2018 AUTUMN SEMESTER
SSD CFU HOURS ACTIVITY TYPE OF ACTIVITY MAT/06 6 48 LESSONS SUPPLEMENTARY COMPULSORY SUBJECTS
 ANTONIO DI CRESCENZO T BARBARA MARTINUCCI
ExamDate
STATISTICA MATEMATICA12/06/2023 - 09:00
STATISTICA MATEMATICA03/07/2023 - 09:00
Objectives
THIS COURSE IS FINALIZED TO ILLUSTRATE THE FUNDAMENTAL TOPICS OF MATHEMATICAL STATISTICS.

KNOWLEDGE AND UNDERSTANDING

KNOWLEDGE OF TOPICS OF MATHEMATICAL STATISTICS. ABILITY TO IDENTIFY A STATISTICAL MODEL AND TO UNDERSTAND ITS MAIN FEATURES.

APPLYING KNOWLEDGE AND UNDERSTANDING

INDUCTIVE AND DEDUCTIVE REASONING SKILLS IN DEALING WITH PROBLEMS TO BE SOLVED BY MEANS OF STATISTICAL METHODS.
Prerequisites
STUDENTS MUST HAVE ACQUIRED THE ABILITY TO DEVELOP LOGICAL-MATHEMATICAL REASONING, BASED ON NOTIONS OF PROBABILITY THEORY.
Contents
STATISTICAL INFERENCE. SAMPLING. DESCRIPTIVE STATISTICS. SPECIAL DISTRIBUTIONS. ORDER STATISTICS. ESTIMATORS. SUFFICIENT STATISTICS. MAXIMUM LIKELIHOOD ESTIMATORS. METHOD OF MOMENTS. BAYES ESTIMATORS. CONFIDENCE INTERVALS. QUANTILE ESTIMATION. STATISTICAL HYPOTHESES. CHI-SQUARE TEST. T-TEST. REGRESSION AND CORRELATION. NON-LINEAR REGRESSION. NORMAL CORRELATION. HISTOGRAMS. FREQUENCY DIAGRAMS. KOLMOGOROV-SMIRNOV TEST.
Teaching Methods
LECTURES AND LABORATORY ACTIVITIES.
Verification of learning
ORAL EXAMINATION TESTING THE KNOWLEDGE OF THE DISCIPLINE, AND DISCUSSION OF A STATISTICAL PROJECT TO BE REQUESTED TWO WEEKS IN ADVANCE.
Texts
- ROSS S. (2010) INTRODUCTORY STATISTICS, 3RD EDITION, ACADEMIC PRESS.
- ZACKS (1992) MATHEMATICAL STATISTICS. FIFTH EDITION. PRENTICE HALL.
- DEVORE J.L., BERK K.N. (2012) MODERN MATHEMATICAL STATISTICS WITH APPLICATIONS. SECOND EDITION. SPRINGER, NEW YORK.