Matematica | MATHEMATICAL STATISTICS

cod. 0522200018

MATHEMATICAL STATISTICS

	0522200018
	DIPARTIMENTO DI MATEMATICA
	EQF7
	MATHEMATICS
	2022/2023

CURRICULUM APPLICATION-ORIENTED MATHEMATICS

	YEAR OF COURSE 2
	YEAR OF DIDACTIC SYSTEM 2018
	AUTUMN SEMESTER

TEACHING UNITS

	SSD	CFU	HOURS	ACTIVITY	TYPE OF ACTIVITY
	MAT/06	6	48	LESSONS	SUPPLEMENTARY COMPULSORY SUBJECTS

PROFESSORS

	ANTONIO DI CRESCENZO T Curriculum
	BARBARA MARTINUCCI Curriculum

EXAMS

	Exam	Date	Session
	STATISTICA MATEMATICA	12/06/2023 - 09:00	SESSIONE ORDINARIA
	STATISTICA MATEMATICA	03/07/2023 - 09:00	SESSIONE ORDINARIA

	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.

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.

	More Information
	SOME UTILITIES AND EDUCATIONAL AIDS ARE AVAILABLE BY COURSE TEACHERS, ALSO THROUGH E-LEARNING PLATFORMS EMAIL: ADICRESCENZO@UNISA.IT, BMARTINUCCI@UNISA.IT CLASS ATTENDANCE IS RECOMMENDED.

Lessons Timetable

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