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...

In this post, we will be discussing mainly, naive Bayes Theorem, and how Laplace, developed the same idea as Bayes, independently and his law of succession go. I cannot conceal the fact here that in the specific application of these rules, I foresee many things...

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...

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...

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....