Vandermone’s SRSWR
This is a beautiful problem form ISI MStat 2017 PSB Problem 3, where we use the basics of bijection principle and vandermone’s idenrity to solve this problem.
Let’s Permute
This problem is an easy application of the basic algorithmic ideas to approach a combinatorics problem using permutation and combination and basic counting principles. Enjoy this problem 3 from ISI MStat 2018 PSB.
Telescopic Continuity
This problem is a simple application of the sequential definition of continuity from ISI MStat 2015 PSB Problem 1.
Shift the Curves
This problem is an easy application in calculus using the basic ideas of curve sketching. This is the probllem 1 from ISI MStat 2019 PSB.
Conditions and Chance
This problem is a cute application of joint distribution and conditional probability. This is the problem 5 from ISI MStat 2018 PSB.
Symmetry, Counting, and Partition
This problem is an application of the non negative integer solution and the symmetry argument. This is from ISI MStat 2015 PSB Problem 4.
Memoryless, Cauchy & Geometric
This problem is a beautiful application of the probability theory and cauchy functional equation. This is from ISI MStat 2019 PSB problem 4.
Central Limit Theorem by Simulation (R Code)
This post verifies central limit theorem with the help of simulation in R for distributions of bernoulli, uniform and poisson.
Data, Determinant and Simplex
This problem is a beautiful problem connecting linear algebra, geometry and data. Go ahead and dwelve into the glorious connection.
Counting Double Subsets
This problem is an extension of the bijection princple idea used in counting the number of subsets of a set. This is ISI MStat 2019 Sample Paper PSB Problem 3.