Intro to Markov Chains & Transition Diagrams

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Markov Chains or Markov Processes are an extremely powerful tool from probability and statistics. They represent a statistical process that happens over and over again, where we try to predict the future state of a system. A markov process is one where the probability of the future ONLY depends on the present state, and ignores the past entirely. This might seem like a big restriction, but what we gain is a lot of power in our computations. We will see how to come up with transition diagram to describe the probabilities of shifting between different states, and then do an example where we use a tree diagram to compute the probabilities two stages into the future. We finish with an example looking at bull and bear weeks in the stock market.

Coming Soon: The follow up video covers using a Transition Matrix to easily compute probabilities multiple states in the future.

0:00 Markov Example
2:04 Definition
3:02 Non-Markov Example
4:06 Transition Diagram
5:27 Stock Market Example

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The most thorough and clear explanation ever. Can't wait for the next video!

Darkev
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SAAARC
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Very well explained mate. Videos like these are a great into to a statistical topic and is a great foundation to dive deeper into the math behind it

MrChinook
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paulkaranja
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I was searching for "Wiener-Lévy process which is also a Markov process" but luckily I ended up here, a wonderful serendipity! Thanks for the simple and concise explanation Dr. Trefor.

bijanghofranian
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A very well presented and insightful lesson.
Thank you for the 2 part explanation!

PrpleHatMan
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amazing explanation. you have a knack for making these difficult topics understandable
thank you so much for this

MrBitviper
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Very clear explanation with easy examples. Thank you!

imdadood
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one of the best explanations about Markov chains on youtube. thank you

mapmap
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You a natural. Thanks , preparing for Risk Modeling and Survival analysis actuarial exam

kaniki_the_problem
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A simple explanation of something that could be very complexly understood. Thank you, Dr. Bazett

thedigitalphysicist
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joevanderstelt
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thepresistence
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I watched around 5 videos, this explained it the best !! thanks alot

aqeelzeid
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Crystal clear explanation, thank you Dr.

freedmoresidume
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Rare moments.. when you understand in the first go.

ipshitaghosh
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This was such a wonderfully clear explanation. Thank you so much!

genuinebombayite
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byronwilliams
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incredible video with a super clear explanation!

catcen
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