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This is my video series about Probability Theory. I hope that it will help everyone who wants to learn about it.
This video is about probability theory, also known as stochastics, stochastic processes or statistics. I keep the title in this general notion because I want cover a lot of topics with the upcoming videos.
#ProbabilityTheory
#Analysis
#Calculus
#Mathematics
In this video, I explain the definition of a sigma algebra and the notion of a probability measure. Both are needed for the rest of the course.
00:00 Idea of a probability measure
01:40 Requirements
04:19 Sigma algebra
05:50 Sigma additivity
06:31 Definition probability measure
07:22 Example
08:57 Exercise about properties of probability measures
09:30 Outro
(This explanation fits to lectures for students in their first year of study: Mathematics for physicists, Mathematics for the natural science, Mathematics for engineers and so on)
The Bright Side of Mathematics has whole video courses about different topics and you can find them here tbsom.de/s/start
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