3 papers
math.PR2021
An expository note on Prohorov metric and Prohorov Theorem
R. P. Pakshirajan, M. Sreehari
The main aim of this article is to give an exposition of weak convergence, Prohorov theorem and Prohorov spaces. In this context we study the relationship between Levy distance $\e…
math.PR2020
An elementary construction of the Wiener measure
R. P. Pakshirajan, M. Sreehari
Our construction of the Wiener measure on consists in first defining a set function \ on the class of all compact sets based on certain -dimensional normal dis…
math.PR2017
Order of approximation in the central limit theorem for associated random variables and a moderate deviation result
M. Sreehari
An estimate of the order of approximation in the central limit theorem for strictly stationary associated random variables with finite moments of order q > 2 is obtained. A moderat…