ST342 Mathematics Of Random Events Notes | Assignment Help | Syllabus
Country: United Kingdom
University: The University Of Warwick
This module, which takes place in Term 1, seeks to give an overview of this theory with a focus on examples and applications. Students interested in learning more about probability theory, analysis, mathematical finance, and theoretical statistics may benefit from this course.
This module is offered as an Unusual Alternative to students who have completed the required modules and are enrolled in a course where it is an optional core module or listed option.
ST218 Mathematical Statistics A AND ST219 Mathematical Statistics B are required courses for statistics students.
ST220 Introduction to Mathematical Statistics for Non-Statistics Students
ST318 Probability Theory is the result of this course.
Web page for the module
Aims of the module
To offer a foundation for future study in Probability, Statistics, and Applied Mathematics by introducing the concepts of measurable spaces, integral with regard to the Lebesgue measure, independence, and modes of convergence. Consider selecting a real number x between 0 and 1 “at random” and with perfect precision, such that the chance that this number belongs to any interval inside [0,1] is equal to the interval length. Is it possible to calculate the probability that x belongs to any subset of [0,1]?
To provide a logical solution to this issue, we must first construct a mathematical framework in which we can represent the concept of selecting a real number “at random.” Measure theory is a branch of mathematics that pervades much of contemporary mathematics, probability, and statistics.
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