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PROBABILITY THEORY

[Italiano] AF: 127064 AR: 63238
Official course title PROBABILITY THEORY
Academic Year 2011/2012
Course code EM2Q11
University credits 7
Degree level Second Cycle Degree M.D.270
Educational sector code SECS-S/03
Semester/trimester 1° Periodo
Course year 1

Professor

Degree Programmes and curricula

Contents

Educational Goals

The first part of the course is intended to be an introduction to fundamentals of probability theory in order to devote the second part to nonparametric curve estimation (kernel methods). The use of these tools allows the analysis of macroeconomic as well as financial data and therefore the interpretation of a variety of economic phenomena through a set of instruments characterized by high degree of flexibility.

Contents

FIRST PART:
Introduction to probability theory
Events, probability, axioms of probability, conditional probability, independence
Distributions, expectations, moments,
Joint and marginal distributions, dependence, conditional distributions,

SECOND PART:
Nonparametric methods for data analysis
Nonparametric estimate of probability distributions (kernel density estimator)
Practical use of the kernel density estimator to study some data set
Nonparametric estimate of conditional density (stochastic kernels) for economic convergence analysis.

Recommended Reading List

Material available on the lecturer's website

Assessment

written

Teaching Methods

Conventional

Teaching Language

English

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Last update: 26/08/2011