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 1 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 1 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 \((I+A)^4=O\)...

Let’s learn how to calculate the geometric mean. This is a concept video useful for Mathematics Olympiad and ISI and CMI Entrance. Watch and Learn: Read and Learn: What is the Geometric mean of two numbers a and b & how to calculate it? Suppose a and b are...

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...

This is a very beautiful sample problem from ISI MStat PSB 2007 Problem 6 based on counting principle . Let’s give it a try !! Problem- ISI MStat PSB 2007 Problem 6 18 boys and 2 girls are made to stand in a line in a random order. Let \(X\) be the number of...