L25.10 Birth-Death Processes - Part I

MIT RES.6-012 Introduction to Probability, Spring 2018
View the complete course: ocw.mit.edu/RE...
Instructor: Patrick Jaillet
License: Creative Commons BY-NC-SA
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[@kbisht3680]

This professor is a genius. His book on probability as well as these lectures are the CLEANEST most PRECISE material on this topic. What an absolute legend.

[@dingdong5948]

That's because he's European and not Indian

[@shradhasathyan4230]

This is soo precise and clear....thankyou so much😍😘

[@sanjeebroytonmoy686]

4:20- 5:45 ==> answer to why up frequency and down frequency will have a maixmum differencece of 1.

[@brainstormingsharing1309]

Absolutely well done and definitely keep it up!!! 👍👍👍👍👍

[@traj250]

Stochastics Exam in exactly 2 hours, thank you sm!!

[@barny1174]

Can someone tell me what is pi_i?
The fraction of time the state is at pi_i

[@sanjeebroytonmoy686]

or you can say the probability of the system being at state 'i' is pi_i.

[@barny1174]

@@sanjeebroytonmoy686 hi thanks for your help

[@barny1174]

Ok correct me if I am wrong P_i and Q_i are rates or arrival and departure.
pi_i is the probability of a state moving to the next state

[@sanjeebroytonmoy686]

1st statement is correct but 2nd statement isn't. you can say the probability of the system being at state 'i' is pi_i or what you have just said in the edited comment (The fraction of time the state is at i)

[@barny1174]

@@sanjeebroytonmoy686 thank you

[@sanjeebroytonmoy686]

@@barny1174 you're welcome.