All writings
Random Variables
Random variables seemed to be innocent, until sigma algebras were introduced. Its time to tame the beast and prove all the results you would need in your probability course!
The Ky-Fan Metric
We shall discuss an exam question of my Probability-3 course and see a proof as to why the given distance function is a metric over the space of random variables and a few related properties.
ISI Entrance 2026 UGB Discussion
We will discuss all the problems of the UGB section in detail, with different possible approaches. The main motive is to motivate how a student can discover the solution by themselves.