Introduction to probability theory and statistics. 3., erw. Aufl.
(Einführung in die Wahrscheinlichkeitstheorie und Statistik.)

*(German)*Zbl 0747.60003
Vieweg-Studium, Aufbaukurs Mathematik. 59. Braunschweig etc.: Vieweg. ix, 249 S. (1991).

[For the second edition (1990) see Zbl 0702.62001.]

The aims and purposes of the 3rd edition of this textbook remained the same: to be the manual on the main concepts of probability theory and mathematical statistics for students of mathematical, physical and pedagogical high schools.

The distinguishing feature of the majority of modern books on probability theory and mathematical statistics is the tendency to present the exposition of theory which is as strict as possible and, as a rule, is based on a strong course of theory of measure, and to demonstrate the strength of mathematical abstraction. In the textbook under consideration the attempt is made to develop intuitive notions by means of discussion of a great number of problems from different fields of science and technology. However the facts are exposed according to the universally adopted system of axioms due to A. N. Kolmogorov. The style of the textbook reminds the well-known textbook on probability theory by B. V. Gnedenko which ran into six editions in Russian during thirty years and was translated into many European languages.

There are no essentially new topics in the third edition as compared to the previous two. The contents of the textbook and corresponding comments are available in the review of the first edition written by R. Manthey (1988; Zbl 0647.60001). The author paid main attention to refining the style of exposing the material, presenting more detailed historical remarks and improving inaccurate statements in the previous editions.

The aims and purposes of the 3rd edition of this textbook remained the same: to be the manual on the main concepts of probability theory and mathematical statistics for students of mathematical, physical and pedagogical high schools.

The distinguishing feature of the majority of modern books on probability theory and mathematical statistics is the tendency to present the exposition of theory which is as strict as possible and, as a rule, is based on a strong course of theory of measure, and to demonstrate the strength of mathematical abstraction. In the textbook under consideration the attempt is made to develop intuitive notions by means of discussion of a great number of problems from different fields of science and technology. However the facts are exposed according to the universally adopted system of axioms due to A. N. Kolmogorov. The style of the textbook reminds the well-known textbook on probability theory by B. V. Gnedenko which ran into six editions in Russian during thirty years and was translated into many European languages.

There are no essentially new topics in the third edition as compared to the previous two. The contents of the textbook and corresponding comments are available in the review of the first edition written by R. Manthey (1988; Zbl 0647.60001). The author paid main attention to refining the style of exposing the material, presenting more detailed historical remarks and improving inaccurate statements in the previous editions.

Reviewer: V.M.Kruglov (Moskva)

##### MSC:

60-01 | Introductory exposition (textbooks, tutorial papers, etc.) pertaining to probability theory |

62-01 | Introductory exposition (textbooks, tutorial papers, etc.) pertaining to statistics |

60Exx | Distribution theory |

60Fxx | Limit theorems in probability theory |

60Jxx | Markov processes |

60K05 | Renewal theory |

60C05 | Combinatorial probability |