Perspectives in Mathematical Sciences I: Probability and Statistics (Statistical Science and Interdisciplinary Research)

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This book presents a collection of invited articles by distinguished probabilists and statisticians on the occasion of the Platinum Jubilee Celebrations of the Indian Statistical Institute a notable institute with significant achievement in research areas of statistics, probability and mathematics in 2007. With a wide coverage of topics in probability and statistics, the articles provide a current perspective of different areas of research, emphasizing the major challenging issues. The book also proves its reference and utility value for practitioners as the articles in Statistics contain applications of the methodology that will be of use to practitioners. To professional statisticians and mathematicians, this is a unique volume for its illuminating perspectives on several important aspects of probability and statistics. Entropy and Martingale (K B Athreya & M G Nadkarni) Marginal Quantiles: Asymptotics for Functions of Order Statistics (G J Babu) Statistics on Manifolds with Applications to Shape Spaces (R Bhattacharya & A Bhattacharya) Reinforcement Learning -- A Bridge Between Numerical Methods and Monte Carlo (V S Borkar) Factors, Roots and Embeddings of Measures on Lie Groups (S G Dani) Higher Criticism in the Context of Unknown Distribution, Non-Independence and Classification (A Delaigle & P Hall) Bayesian Nonparametric Approach to Multiple Testing (S Ghosal & A Roy) Bayesian Inference on Mixtures of Distributions (K Lee et al.) Markov Processes Generated by Random Iterates of Monotone Maps: Theory and Applications (M Majumdar) An Invitation to Quantum Information Theory (K R Parthasarathy) Scaling Limits (S R S Varadhan)