Introduction to Statistical Mathematics

This is an introductory book on Mathematics of stochastic variables. The book deals with elementary Probability and Statistics. This can be used as a book for self study or for a one year slow course in Probability and Statistics. Since it is also intended as a book for self study, the various symbols and letters used, are explained then and there throughout the book. The pre-requisite is one year Calculus. But a person with high school Mathematics can follow the book except the few sections which use Calculus extensively. In Chapter 1 an introduction to Set Theory and Linear Algebra is given. The pre. requisite for this chapter is only high school Mathematics. The later sections of Linear Algebra may be omitted because they are not very much used. These facts are mentioned in the different section s. An attempt is made to make the book semi-rigorous. It is a fairly balanced treatment of theory and applications and this will give a sufficiently good background for further studies. The book is based on the topics covered in an introductory course in Statistics for the General Arts and Science students at McGill University. The book is intended for : (1) self study. (2) a two semeste