This is a very subtle sample problem from ISI MStat PSB 2005 Problem 3. Given that one knows the property of orthogonal matrices its just a counting problem. Give it a thought! Problem- ISI MStat PSB 2005 Problem 1 Let \(A\) be a \(n \times n\) orthogonal matrix,...

This is a very beautiful sample problem from ISI MStat PSB 2005 Problem 1. It is based on some basic properties of upper triangular matrix and diagonal matrix, only if you use them carefully. Give it a thought! Problem- ISI MStat PSB 2005 Problem 1 Let \(A\) be a \(n...

This post discusses how judgments can be quantified to probabilities, and how the degree of beliefs can be structured with respect to the available evidence in decoding uncertainty leading towards Bayesian Thinking. The object of reasoning is to find out, from the...

This is a very simple sample problem from ISI MStat PSB 2014 Problem 4. It is based on order statistics, but generally due to one’s ignorance towards order statistics, one misses the subtleties . Be Careful ! Problem- ISI MStat PSB 2014 Problem 4 Consider a...

This is a very simple sample problem from ISI MStat PSB 2018 Problem 9. It is mainly based on estimation of ordinary least square estimates and Likelihood estimates of regression parameters. Try it! Problem – ISI MStat PSB 2018 Problem 9 Suppose \((y_i,x_i)\)...