Introduction to Probability Theory and Statistics

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Free Online Course: Introduction to Probability Theory and Statistics provided by Swayam is a comprehensive online course, which lasts for 12 weeks long. The course is taught in English and is free of charge. Upon completion of the course, you can receive an e-certificate from Swayam. Introduction to Probability Theory and Statistics is taught by Prof. S Dharmaraja.

Overview
  • ABOUT THE COURSE:This course provides axiomatic definition of probability, random variable, distributions, moments, modes of convergences, descriptive statistics, sampling distribution, point and interval estimations, hypothesis testing and analysis of correlation and regression. It explains the concepts of probability theory and statistics which are needed for handling various real-world problems.PREREQUISITES: A basic course on Linear Algebra and CalculusINDUSTRY SUPPORT: Goldman Sachs, Morgan Stanley, RBS, Quant, Futures First, Towers and other finance companies

Syllabus
  • Week 1: Basics of Probability Week 2:Random Variable Week 3:Moments and Inequalities Week 4:Standard Distributions Week 5:Higher Dimensional Distributions Week 6:Functions of Several Random Variables Week 7:Cross Moments Week 8:Limiting Distributions Week 9:Descriptive Statistics and Sampling Distributions Week 10:Point and Interval Estimations Week 11:Testing of Hypothesis Week 12:Analysis of Correlation and Regressio