General Theory of Statistics

The book is a statistical course for undergraduate students in all fields of social and economic sciences. The book presents a manual on the course "General Theory of Statistics", including a series of not quite traditional topics. First of all, it concerns the mathematical bases of statistics and use of computer technologies in statistical probing. Thematic choice of the chapters and sections of the book is caused not only by interests and tastes of the authors, but also by modern tendencies in applied statistics and orientation of the given work. The book is based on a course of lectures given by the first author for undergraduates in social and economic sciences along with three books published in Russian and English in Estonia, Lithuania and Byelorussia. This book has been written for a large enough audience of teachers, researchers, statisticians, students, collegians and users of statistics in behavioral and social sciences. Above all, the book is directed to a wide cir

• Math
• Science

								
From the Authors
Preface
Chapter 1. Subject and method of statistical science
1.1. Subject of statistics, and its place in the system of sciences
1.2. Brief excursus into history of statistics
1.3. General organization principles of state statistical service
1.4. Statistics problems and characteristic features of its methodology
1.5. The primary concepts and categories of statistics
Chapter 2. Elements of the probability theory
2.1. Classic concepts of probability, and combinatorial calculus
2.2. Random variables and their distribution laws
2.3. Characteristics of probabilistic distributions
2.4. Fundamental laws of probability distribution
2.5. Basic testing distributions
Chapter 3. Fundamentals of statistical observation
3.1. Program and plan of statistical observation
3.2. Basic forms, kinds and methods of statistical observation
3.3. Questions of accuracy of statistical observations
3.4. Verification of outcomes of statistical observation
3.5. Special questions of statistical accounting
3.6. Data, used for illustration of the present book material
Chapter 4. Grouping, consolidated return and data presentation
4.1. Problems and contents of consolidated return
4.2. Basics of the groupings method
4.3. Interval groupings and classifications
4.4. Tabular representation of statistical data
4.5. Statistical series of distribution
4.6. Graphical representation of statistical data
Chapter 5. Absolute and relative statistical quantities
5.1. Absolute statistical quantities
5.2. Relative statistical quantities
Chapter 6. Basics of averages method
6.1. Properties of arithmetical average
6.2. Other types of averages, and their choice
6.3. Structural averages of populations
6.4. The averages method – one of the most important technique and methodology of the generalization
Chapter 7. Elements of analysis of variational series
7.1. Variation of showings population
7.2. Variation evaluation of the grouped population data
7.3. Elements of form analysis of distribution curves
7.4. Elements of the sampling method theory
7.5. Testing of statistical hypotheses
7.6. Elements of correlation and regression analysis
Chapter 8. Elements of time series analysis
8.1. Time series types, their construction and presentation
8.2. Statistical showings of time series
8.3. Average showings of time series
8.4. Determination of basic tendency (trend) of time series
8.5. Analysis of casual constituent of time series
8.6. Probing of periodical oscillations of time series
8.7. Comparative and connected analysis of time series
Chapter 9. Elements of the index method
9.1. Concept of the indexes, their types and purpose
9.2. Aggregative and individual indexes
9.3. Average indexes, basic and chain indexes
9.4. Fundamental economical indexes and their interrelation
9.5. Logical criteria of good indexes
Chapter 10. Computer means of statistical data analysis
10.1. Basic prerequisites of usage of computers in statistics
10.2. A brief survey of statistical software
10.3. Usage of the class of PCs in statistical data analysis
10.4. A brief characteristic of computer mathematics systems Maple and Mathematica
10.5. Elements of statistical data analysis in Maple system
10.5.1. Tools for problems solving of descriptive statistics
10.5.2. Tools for problems solving of regression analysis
10.5.3. Tools for testing of statistical hypotheses
10.5.4. Elements for simple analysis of time series
References
List of Principal Abbreviations
About the Authors
								Rate this book:0.0 / 0 votes