Statistical Signal Processing

Debasis Kundu is currently the Arun Kumar Chair Professor at the Department of Mathematics and Statistics in the Indian Institute of Technology, Kanpur. He received his B-Stat and M-Stat from the Indian Statistical Institute, MA (Mathematics) from the University of Pittsburgh and Ph.D. from the Pennsylvania State University under the guidance of Professor C.R. Rao in the area of statistical signal processing. He has worked in the University of Texas and Dallas for a year before joining the Indian Institute of Technology, Kanpur as an Assistant Professor. His research interests include statistical signal processing, reliability theory, statistical computing, distribution theory and competing risks. He has published more than 175 research papers in different national and international journals. He is a Fellow of the National Academy of Sciences, India and a Fellow of the Royal Statistical Society, UK. He is in the editorial boards of Communications in Statistics - Theory and Methods, Communications in Statistics - Simulation and Computation, Journal of Statistical Theory and Practice, Journal of Statistics and Applications, Journal of Modern Applied Statistical Methods. Swagata Nandi is currently an Assistant Professor at the Theoretical Statistics and Mathematics Unit of the Indian Statistical Institute, Delhi Center. She received her M.Sc. and Ph.D. from the Indian Institute of Technology. Kanpur. Before joining the Indian Statistical Institute as an Assistant Professor, she was a post doctoral fellow at the University of Heidelberg and at the University of Mannheim. Her research interests include statistical signal processing, analysis of surrogate data, EM algorithm and bootstrapping technique. She has more than 25 research publications in different national and international journals. She is the recipient of the Indian Science Congress Association Young Scientist award and  is the winner of the 'C.L. Chandana Award for Students'.

1 Introduction.- 2 Notations and Preliminaries.- 3 Estimation of Frequencies.- 4 Asymptotic Properties.- 5 Estimating the Number of Components.- 6 Real Data Example.-
7 Multidimensional Models.-
8 Related Models.- References.- Index.