The book collects papers on several topics in probability and stochastic processes. These papers have been presented at a conference organised in honour of Professor Rajeeva L. Karandikar who turned 65 in 2021. He was a distinguished researcher and a teacher at the Indian Statistical Institute (ISI), Delhi Centre, for many years. He has been a multi-faceted academician, interacting with the Government of India and the industry. He has left an indelible mark in every endeavour of his and in his several different avatars¿be it in the ISI, in the industry or as Director of Chennai Mathematical Institute. This book will be useful to senior undergraduate and graduate students, as well as researchers in probability, statistics and related fields.
This book covers the fundamentals of measure theory and probability theory. Topics include the construction of Lebesgue measure via Caratheodory's outer measure approach; integration and standard convergence theorems; complex measures, Lp spaces, Radon-Nikodym theorem, and the Riesz representation theorem.
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