• A
  • A
  • A
  • АБB
  • АБB
  • АБB
  • А
  • А
  • А
  • А
  • А
Обычная версия сайта
2026/2027

Вычислительные методы статистики

ID 1104347

Статус: Майнор
Охват аудитории: для своего кампуса
Язык: английский
Кредиты: 5
Контактные часы: 64

Course Syllabus

Abstract

Computational statistics is a one-semester course which focuses on practical aspects and applications of probability theory, statistics and mathematical finance. Course naturally complements corresponding compulsory course «Statistics» for second-year students. The purpose of the course is to apply skills and knowledge students got at the lectures and seminars of Statistics course to real data analysis using programming language.
Learning Objectives

Learning Objectives

  • Learn how to use programming language (Python) to analyse the data.
  • Increase understanding of compulsory course topics by considering examples and use cases where various methods can be applied.
  • Familiarise students with data analysis methods and tools which are provided in Statistics course.
  • Show how various statistical methods can be applied together to make comprehensive data analysis, how various topics of statistics are connected and can complement each other.
Expected Learning Outcomes

Expected Learning Outcomes

  • Use and apply statistical methods for data analysis, research and modelling. This includes ability to select appropriate method/model, check its correctness and applicability, write a program, back test model on historical data and make conclusions.
  • Be able to further enhance programming skills by studying advanced techniques which allow to write more effective and professional code meeting international coding standards
  • Be able to further study statistical methods which are available at modern software including reading relevant documentation, extra materials (books, articles) and applying new methods of data analysis
Course Contents

Course Contents

  • Python revision
  • Distributions and their properties
  • Monte-Carlo methods
  • Applied statistics
  • Regressions
  • Bayesian Statistics
Assessment Elements

Assessment Elements

  • non-blocking Class Attendance
  • non-blocking Home Assignments
  • non-blocking Midterm Test
  • blocking Final Exam
    In order to get a passing grade for the course, the student must sit the exam (all parts of the exam if the exam is divided into parts).
Interim Assessment

Interim Assessment

  • 2026/2027 2nd module
    0.195 * Home Assignments + 0.04 * Class Attendance + 0.265 * Midterm Test + 0.5 * Final Exam
Bibliography

Bibliography

Recommended Core Bibliography

  • Bayesian data analysis, Gelman, A., 2014
  • Introduction to probability models, Ross, S. M., 2010
  • Python for data analysis : data wrangling with pandas, numPy, and IPhython, Mckinney, W., 2017
  • Statistical inference, Casella, G., 2002

Recommended Additional Bibliography

  • Derivatives analytics with Python : data analysis, models, simulation, calibration and hedging, Hilpisch, Y. J., 2015

Authors

  • BORISOV STANISLAV VIKTOROVICH