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Introduction
This textbook is intended for students who have already studied basic mathematics and need
to study the methods of advanced mathematics. It covers two content areas: Theory of Probability
and Mathematical Statistics. These sections are last in typical course of Advanced Mathematics.
Many useful examples and exercises are presented in the textbook.
Each part contains basic mathematical conceptions and explains new mathematical terms.
The Theory of Probability topics include combinatorial analysis, conditional probability,
Bernoulli trials, discrete and continuous random variables and vectors.
In the section “statistics”, a main attention is paid to the statistical applications of probabilistic
methods. The probabilistic approach is considered to be basic for discussion of classic problems
of Statistics.
The authors welcome reader’s suggestions for improvement of future editions of this textbook.
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