Mod-01 Lec-06 Stochastic processes

[juliogodel]

Thanks NPTEL to allow us to have the pleasure of watching Prof. V. Balakrishnan lectures. Honestly, His thinking is so clear that I want to watcth everything he has to teach.

[NothingMaster]

At its heart, all this is a probabilistic attempt to predict the future. Think of it as developing a mathematical-based psychic ability. Show me the future values and I’ll show you the money; as in finding your pot of gold at the end of the stock market rainbow, for instance. Humanity doesn’t develop areas of applied mathematics, like financial engineering, just for the fun of it. This gentleman is an incredibly insightful lecturer; a pleasure to watch, as he effortlessly explains the logic and the thought process behind the math.

[gerardomoscatelli]

Finally understood the essence of stochastic movement thanks!

[shashanksingh]

In this video at the time 38:51 respected Professor has suggested to subtract P(k, t-del(t)/j) from both side but I feel instead of this actually P(l, t-del(t)/j) has to be subtracted from both side. Anyone please confirm so that I could convince myself.

[ladakh]

Thanks for the precious lecture. but it will be better if the camera is more stationary on the blackboard rather than chasing the professor all the times.

[Vikram-wxhg]

Fantastic lectures. Are there any written notes for these lectures?

[Yashodhan]

It took me solid 20 minutes of pause and ponder to understand how the coefficients came about.

[AkashSharma-dbsg]

Could anyone suggest a book for stochastic process..?

[LLlove]

Next time, cameraman should fix the camera to the board

[CinemaInsights]

let me the professor teach QFT and particle physics.

[RenormalizedAdvait]

Actually the reason why Indian applied mathematics don't progress is because of such abstract presentation of the subject with unnecessary pedanticity. The subject is presented in such a way that rarely people would grasp the underlying working idea because of the steep increase in the learning curve. Compare Prof. John Tsitsiklis, MIT, lecture on Markov chains with Prof. Balakrishnan's, in three lectures Prof. Tsitsiklis not only gave a fair description of the process but also illustrated its application with examples without going into unnecessary existence theorems. It's like we do not teach our kids Peano's axioms to teach them arithmetic. My take is, if stationarity/strict stationarity is not to be discussed in details what is the necessity of teaching Kolmogorov's extension theorem that too in an introductory class on stochastic process but important topics like steady state convergence, periodicity, etc are left out? Here is the need of improving the syllabus.