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PROBABILITY AND MATHEMATICAL STATISTICS Single discipline educational activity
Course Sheet Academic Year of enrolment:
Disciplinary Sector:
Probability and Mathematical Statistics
Professor and Collaborators:
Hours of classroom activity:
Prerequisites:
Real functions,
Integrals, Functions of two or more variables, Multiple integrals
Objectives
Contents Probability Theory Statistical Inference
Extended Syllabus Events, Probability, Total Probability Theorem, Conditional Probability, Independence, Logical and stochastic Independence, Bayes Theorem, Expectation, Moments, Distribution Function, Random variables,
Moment generating function;
Discrete Distributions: Binomiale, Geometric, Poisson.
Continuous distributions: uniforme, exponential, Gaussian.
Gamma distribution, lognormal distribution.
Law of large Numbers, Central Limit Theorem.
Statistical Inference:
Estimators,
Confidence Intervals
Testing Hypotheses
Recommended Bibliography De Groot, M. Schervish, Probability and Statistics, Addison Wesley 4th ed.
Methods of Provision
Teaching Methods Frontal lessons.
Exercises on Plataform Wims
Evaluation methods Verification of learning: