MATHEMATICAL STATISTICS

Antonio DI CRESCENZO MATHEMATICAL STATISTICS

0522200018
DIPARTIMENTO DI MATEMATICA
MATHEMATICS
2015/2016

YEAR OF COURSE 2
YEAR OF DIDACTIC SYSTEM 2010
SECONDO SEMESTRE
CFUHOURSACTIVITY
648LESSONS
Objectives
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.


MAKING JUDGEMENTS
CRITICAL THINKING SKILLS. ABILITY TO IDENTIFY THE MOST APPROPRIATE METHODS TO ANALYZE AND INTERPRET PROBLEMS.

COMMUNICATION SKILLS
ABILITY TO DISCUSS TOPICS INVOLVING MATHEMATICAL STATISTICS.

LEARNING SKILLS
ABILITY TO ACQUIRE AND MANAGE NEW INFORMATION RELATED TO MODELS IN THE PRESENCE OF RANDOMNESS, AND TO ANALYZE THE RESULTS OF STATISTICAL SURVEYS.
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. 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 EXERCISES ON STATISTICS IN THE LABORATORY.
Verification of learning
ORAL EXAMINATION WITH VERIFICATION OF KNOWLEDGE OF THE DISCIPLINE AND DISCUSSION OF A PROJECT DEALING WITH A STATISTICAL ANALYSIS.
Texts
- 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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