Бакалавриат
2026/2027
Статистика
Статус:
Курс обязательный (Международная программа по экономике и финансам)
Кто читает:
Международный институт экономики и финансов
Где читается:
Международный институт экономики и финансов
Когда читается:
2-й курс, 1, 2 семестр
Охват аудитории:
для своего кампуса
Язык:
английский
Кредиты:
6
Контактные часы:
116
Course Syllabus
Abstract
Elements of statistics is a two-semesters course for second year ICEF students. This is a course for students specializing in economics. The course is taught in Russian and English. Basic ideas of statistics, such as descriptive statistics, population and sample, parameters estimation, testing statistical hypotheses etc, are studied in the course, as well as elements of probability theory which are necessary for understanding the course. Prerequisites are Calculus (functions of several variables, partial derivatives, integrals, maximum of functions), and elements of Linear algebra (vectors, matrices, linear equations).
Learning Objectives
- The main objective of the course is to give a sound and self-contained (in the sense that the necessary probability theory is included) description of classical or mainstream statistical theory and its applications. The students should learn to carry out a simple analysis of data (to find mean, median, standard deviation and other descriptive statistics), to present the data graphically (histograms, stem plots). They should understand the differences between population and sample, and theoretical and sample characteristics. Since it is not worth while to teach Statistics without elements of probability theory, studying its basic notions and results is a part of the course. Students should understand what probability space, random event, probability of an event are. The should know how to calculate probabilities of complex events, solve elementary combinatorial problems, use the full-probability and Bayes formulas. The students should have a clear understanding of what a random variable and its distribution are. The students should learn to formulate and solve basic problems of statistics, such as pa-rameters estimation, statistical hypotheses testing, correlation analysis, analysis of variance, Spearman correlation, contingency tables. One of the course aims is to prepare students for fur-ther studying of Econometrics on the basis of studying simple and multiple regression models. The course is not mathematically rigorous. Proofs, and even exact statements of results, are often not given. The problems are an essential part of the course. A serious effort has been made in the problems to illustrate the variety of ways in which the theory may be applied.
Expected Learning Outcomes
- be able to correctly use ANOVA in real life applications
- be able to design and understand the structure of data; use various visual and table presentations of data
- be able to use simple regression model and understand computer outputs
- be able to use the concept of mathematical statistics, its application to real life problems
- be able to use the concept of probability, as a model for real life; discrete and continuous random variables; joint and conditional distributions
Course Contents
- Primary data analysis
- Elements of Probability theoryVariance. Standard deviation. Binomial distribution. - Continuous random variables. Distribution function. Probability density function. Uniform
- Elements of Mathematical Statistics
- Analysis of variance (ANOVA)
- Linear regression model- Forecasts. - Regression residuals. Residuals and errors.
Assessment Elements
- Home assignments and quizzes (HW)approximately 25-27 home assignments in modules 1-4 and from 5 to 10 quizzes, Home assignments must be submitted in paper form before the lecture. Retaking homework and quizzes is not provided
- Midterm test1 (January) (test1)The PUD input system has limited capabilities compared to POPATKUS. Therefore, a complete and precise description of the evaluation criteria is contained in the file "Syllabus for ELEMENTS OF STATISTICS 2026-en.pdf."
- Final exam (June)You must score at least 25 points on the final exam. For a more detailed description, see the Syllabus. The PUD input system has limited capabilities compared to POPATKUS. Therefore, a complete and precise description of the evaluation criteria is contained in the file "Syllabus for ELEMENTS OF STATISTICS 2026-en.pdf."
- Midterm test2 (Spring) (test2)The PUD input system has limited capabilities compared to POPATKUS. Therefore, a complete and precise description of the evaluation criteria is contained in the file "Syllabus for ELEMENTS OF STATISTICS 2026-en.pdf."
Interim Assessment
- 2026/2027 2nd semesterFor a more detailed description, see the Syllabus. The file "Syllabus for ELEMENTS OF STATISTICS 2026-en.pdf"
Bibliography
Recommended Core Bibliography
- Statistics for business and economics, Newbold, P., 2013
- Задачи с решениями по вероятности и статистике для экономистов. Ч.1: Задачи, Катышев, П. К., 2014
- Задачи с решениями по вероятности и статистике для экономистов. Ч.2: Решения, Катышев, П. К., 2014
- Прикладная статистика. Основы эконометрики. Т.1: Теория вероятностей и прикладная статистика, Айвазян, С. А., 2001
- Руководство к решению задач по теории вероятностей и математической статистике : учеб. пособие для вузов, Гмурман, В. Е., 2006
Recommended Additional Bibliography
- Mathematical statistics with applications, Wackerly, D. D., 2008
- Probability and statistical inference, Hogg, R. V., 2020
- Руководство к решению задач по теории вероятностей и математической статистике : учеб. пособие для бакалавриата, Гмурман, В. Е., 2013