MATHEMATICAL STATISTICS

Antonio DI CRESCENZO MATHEMATICAL STATISTICS

0522200018
DIPARTIMENTO DI MATEMATICA
EQF7
MATHEMATICS
2016/2017

YEAR OF COURSE 2
YEAR OF DIDACTIC SYSTEM 2010
PRIMO SEMESTRE
CFUHOURSACTIVITY
648LESSONS
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
THE STUDENT MUST HAVE ACQUIRED THE ABILITY TO DEVELOP LOGICAL-MATHEMATICAL REASONING, BASED ON NOTIONS OF PROBABILITY THEORY.
Contents
STATISTICAL INFERENCE. SAMPLING. DESCRIPTIVE STATISTICS. SPECIAL DISTRIBUTIONS. 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. ANOVA.
Teaching Methods
LECTURES AND LABORATORY ACTIVITIES.
Verification of learning
ORAL EXAMINATION TESTING THE KNOWLEDGE OF THE DISCIPLINE, AND DISCUSSION OF A STATISTICAL PROJECT.
Texts
- ROSS S. (2010) INTRODUCTORY STATISTICS, 3RD EDITION, ACADEMIC PRESS.
- FREUND J.E., WALPOLE R.E. (1992) MATHEMATICAL STATISTICS. FIFTH EDITION. PRENTICE HALL.
More Information
THE ATTENDANCE IN TERM TIME IS RECOMMENDED.
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