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Pyrkina (Пыркина О.Е.), O.E. Probability theory and mathematical statistics. Part 1 = Теория вероятностей и математическая статистика. Ч. 1 [Электронный ресурс]: Учебное пособие на английском языке для студ., обуч. в бакалавриате / O.E. Pyrkina (О.Е. Пыркина); Финуниверситет, Каф. "Теория вероятностей и математич. статистика". — Электронные текстовые данные (1 файл: 6,8 Мб). — М.: Finansu Universitate: Финуниверситет, 2016. — 1 CD. — Только электронный ресурс;. — Доступ из локальной сети Финуниверситета (чтение, печать). — <URL:http://elib.fa.ru/rbook/pyrkina.pdf>.

Record create date: 9/21/2016

Subject: внутривузовские издания; учебные пособия; Финансовый университет; авторы ФА; полный текст; электронные публикации; CD; математическая статистика; вероятностей теория; английский язык; бакалавриат; рецензенты ФА; Зададаев С.А.

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Table of Contents

  • purkina_диск.pdf
  • Пыркина _верстка.pdf
    • Chapter 1. Event Algebra. Basic Concepts
      • 1.1. Introduction: What is Probability?
      • 1.2. Random experiment
      • 1.3. Events
      • Self-testing questions
      • Self-testing questions: answers
    • Chapter 2. Probability and Its Postulates. Probability Rules
      • 2.1. How could we define probability?
      • 2.2. Formalism: Postulates and Consequences?
      • 2.3. Introduction into Combinatorial Calculus: Permutation and Combinations
      • 2.4. Probability Rules
      • Self-testing questions
      • Self-testing questions: answers
    • Chapter 3. Conditional Probability. Statistical Independence
      • 3.1. The notion of conditional probability
      • 3.2. The multiplication rule of probabilities and statisticalindependence
      • Self-testing questions
      • Self-testing questions: answers
    • Chapter 4. Bayes’ Theorem and Total Probability Formula.Bivariate probabilities
      • 4.1. Bayes’ Theorem
      • 4.2. Total Probability Formula
      • 4.3. Bivariate probabilities: general setup
      • Self-testing questions
      • Self-testing questions: answers
    • Chapter 5. Random variables. Probability distributions for discrete random variables
      • 5.1. Random variables
      • 5.2. Probability distributions for discrete random variables
      • 5.3. Expectations for Discrete Random Variables
      • 5.4. Variances for Discrete Random Variables
      • 5.5. The Linear Function of Discrete Random Variable
      • Self-testing questions
      • Self-testing questions: answers
    • Chapter 6. Jointly distributed discrete random variables
      • 6.1. The Joint probability Function and Marginal ProbabilityFunctions
      • 6.2. The Conditional Probabilities and Independence of Discrete Random Variables
      • 6.3. The Joint Cumulative Probability Function
      • 6.4. The Covariance and Correlation Coefficient
      • Self-testing questions
      • Self-testing questions: answers
    • Chapter 7. Bernoulli Trials and Binomial Distribution. The Hypergeometric Distribution. The Geometric Distribution. The Poisson Distribution
      • 7.1. Bernoulli Trials
      • 7.2. The Binomial Distribution
      • 7.3. The Hypergeometric Distribution
      • 7.4. The Geometric Distribution
      • 7.5. The Poisson Distribution
      • Self-testing questions
      • Self-testing questions: answers
      • Bibliography

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