  This is a problem from the ISI MStat Entrance Examination, 2016 involving the basic idea of Type 1 error of Testing of Hypothesis but focussing on the fundamental relationship of Exponential Distribution and the Geometric Distribution. The Problem: Suppose $X_{1},... ## ISI MStat PSB 2006 Problem 8 | Bernoullian Beauty This is a very beautiful sample problem from ISI MStat PSB 2006 Problem 8. It is based on basic idea of Maximum Likelihood Estimators, but with a bit of thinking. Give it a thought ! Problem- ISI MStat PSB 2006 Problem 8 Let \((X_1,Y_1),……,(X_n,Y_n)$ be a... ## How to roll a Dice by tossing a Coin ? Cheenta Statistics Department

How can you roll a dice by tossing a coin? Can you use your probability knowledge? Use your conditioning skills. Suppose, you have gone to a picnic with your friends. You have planned to play the physical version of the Snake and Ladder game. You found out that you... ## ISI MStat PSB 2009 Problem 8 | How big is the Mean?

This is a very simple and regular sample problem from ISI MStat PSB 2009 Problem 8. It It is based on testing the nature of the mean of Exponential distribution. Give it a Try it ! Problem- ISI MStat PSB 2009 Problem 8 Let $X_1,…..,X_n$ be i.i.d. observation... ## ISI MStat PSB 2009 Problem 4 | Polarized to Normal

This is a very beautiful sample problem from ISI MStat PSB 2009 Problem 4. It is based on the idea of Polar Transformations, but need a good deal of observation o realize that. Give it a Try it ! Problem- ISI MStat PSB 2009 Problem 4 Let $R$ and $\theta$ be... ## ISI MStat PSB 2008 Problem 7 | Finding the Distribution of a Random Variable

This is a very beautiful sample problem from ISI MStat PSB 2008 Problem 7 based on finding the distribution of a random variable . Let’s give it a try !! Problem- ISI MStat PSB 2008 Problem 7 Let $X$ and $Y$ be exponential random variables with parameters...