Probability and Statistics (2010/2011)

Course code
4S02843
Credits
6
Coordinator
Laura Maria Morato
Other available courses
Other available courses
    Academic sector
    MAT/06 - PROBABILITY AND STATISTICS
    Language of instruction
    Italian
    Teaching is organised as follows:
    Activity Credits Period Academic staff Timetable
    Teoria 4 II semestre Laura Maria Morato
    Laboratorio di Statistica 2 II semestre Massimo Guerriero

    Lesson timetable

    Learning outcomes

    The course is an introduction to the elemetary concepts of Probaility with the explanation of the basic methiods of Statistics.

    Syllabus

    1. Introduction to descriptive statistics
    2. Random experiments and events
    3.Probability axioms
    4.Simple properties of probability and combinatorics.
    5.Conditional probability. Independence.
    6. Random variables. Density. Mean. Variance.
    7.Bernoulli trials: binomial and geometric random variables
    8.Poisson process: Exponential and gamma random variables
    9.Normal distribution
    10.Law of great numbers
    11.Central limit theorem and normal approximation
    12.Statistical extimators
    13. Interval extimations and interval of confidence
    14. Extimation of mean and variance for normal populations
    15.Extension to generic populations. Extimation of a frequency.
    16.Hypothesis tests. Test z and test t. Frequaency test. Chi-squared test.

    Assessment methods and criteria

    Written examination with exercices and theory questions.
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