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 post discusses about the history of frequentism and how it was an unperturbed concept till the advent of Bayes. It sheds some light on the trending debate of frequentism vs bayesian thinking. ***10 min read*** “The probable is that which for the most part...

This is a very beautiful sample problem from ISI MStat PSB 2012 Problem 6 based on Conditional probability . Let’s give it a try !! Problem- ISI MStat PSB 2012 Problem 6 There are two biased coins – one which has probability \(1 / 4\) of showingheads and...

This is a very beautiful sample problem from ISI MStat PSB 2013 Problem 3 based on Counting principle . Let’s give it a try !! Problem- ISI MStat PSB 2013 Problem 3 Suppose integers are formed by taking one or more digits from thefollowing \( 2,2,3,3,4,5,5,5,6,7...

This is a very beautiful sample problem from ISI MStat PSB 2013 Problem 8 based on finding the distribution of a random variable . Let’s give it a try !! Problem- ISI MStat PSB 2013 Problem 8 Suppose \(X_{1}\) is a standard normal random variable. Define \(...

This is a very beautiful sample problem from ISI MStat PSB 2009 Problem 5 based on finding the distribution of a random variable . Let’s give it a try !! Problem- ISI MStat PSB 2009 Problem 5 Suppose \(F\) and \(G\) are continuous and strictly increasing...