This is a very beautiful sample problem from ISI MStat PSB 2008 Problem 2 based on definite integral as the limit of the Riemann sum . Let’s give it a try !! Problem- ISI MStat PSB 2008 Problem 2 For \( k \geq 1,\) let \( a_{k}=\lim {n \rightarrow \infty}...

This is a very beautiful sample problem from ISI MStat PSB 2008 Problem 3 based on Functional equation . Let’s give it a try !! Problem- ISI MStat PSB 2008 Problem 3 Let \(g\) be a continuous function with \( g(1)=1 \) such that \( g(x+y)=5 g(x) g(y) \) for all...

This is a very beautiful sample problem from ISI MStat PSB 2009 Problem 6. It is based on the idea of Restricted Maximum Likelihood Estimators, and Mean Squared Errors. Give it a Try it ! Problem-ISI MStat PSB 2009 Problem 6 Suppose \(X_1,…..,X_n\) are i.i.d....

This is a very simple but beautiful sample problem from ISI MStat PSB 2009 Problem 3. It is based on recognizing density function and then using CLT. Try it ! Problem- ISI MStat PSB 2009 Problem 3 Using and appropriate probability distribution or otherwise show that,...

This is a very simple sample problem from ISI MStat PSB 2009 Problem 1. It is based on basic properties of Nilpotent Matrices and Skew-symmetric Matrices. Try it ! Problem- ISI MStat PSB 2009 Problem 1 (a) Let \(A\) be an \(n \times n\) matrix such that \((I+A)^4=O\)...

This is a very subtle sample problem from ISI MStat PSB 2006 Problem 2. After seeing this problem, one may think of using Lagrange Multipliers, but one can just find easier and beautiful way, if one is really keen to find one. Can you! Problem- ISI MStat PSB 2006...