Statistics for Engineers

This cours is intended as an introduction to Statistics for students in engineering. The cours consists of 10 two-hours lectures during which the presented topics are the following:

1. Introduction to probability theory: random experiment, probability space, cumulative distribution function, density function, conditional probability and independence, random variables and their parameters, normal distribution, central limit theorem, random vector and joint distribution.
2. Introduction to statistics: sample space, notion of statistical model, the concept of data analysis.
3. Introduction to estimation theory: notion of statistic, the concept of interval and point estimation, the problem of opimality in estimation theory, review of typical estimators.
4. T-Student and chi-sqrt distribution and their properties.
5. Hypothesis testing: the concept of parametric and nonparametric  testing.
6. Introduction to linear models and statistical inference - simple regression model.

REFERENCES

1. S. Ross, Introduction to Probability and Statistics for Engineers and Scientists, Elsevier 2009.
2. T.T. Song, Fundamentals of Probability and Statistics for Engineers, Wiley 2004.
3. R. Larson, B. Farber, Elementary Statistics, Prentice Hall 2012.
4. S. Ross, A Firsy Course in Probability, Prentice Hall 2010.

 the series     mathematical induction

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