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Author:
Publisher: Krishna Prakashan Media
ISBN: 9788182830073
Category :
Languages : en
Pages : 342
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Book Description
Author:
Publisher: Krishna Prakashan Media
ISBN: 9788182830073
Category :
Languages : en
Pages : 342
Get Book Here
Book Description
Author: Krishna B. Athreya
Publisher: Springer Science & Business Media
ISBN: 038732903X
Category : Business & Economics
Languages : en
Pages : 625
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Book Description
This is a graduate level textbook on measure theory and probability theory. The book can be used as a text for a two semester sequence of courses in measure theory and probability theory, with an option to include supplemental material on stochastic processes and special topics. It is intended primarily for first year Ph.D. students in mathematics and statistics although mathematically advanced students from engineering and economics would also find the book useful. Prerequisites are kept to the minimal level of an understanding of basic real analysis concepts such as limits, continuity, differentiability, Riemann integration, and convergence of sequences and series. A review of this material is included in the appendix. The book starts with an informal introduction that provides some heuristics into the abstract concepts of measure and integration theory, which are then rigorously developed. The first part of the book can be used for a standard real analysis course for both mathematics and statistics Ph.D. students as it provides full coverage of topics such as the construction of Lebesgue-Stieltjes measures on real line and Euclidean spaces, the basic convergence theorems, L^p spaces, signed measures, Radon-Nikodym theorem, Lebesgue's decomposition theorem and the fundamental theorem of Lebesgue integration on R, product spaces and product measures, and Fubini-Tonelli theorems. It also provides an elementary introduction to Banach and Hilbert spaces, convolutions, Fourier series and Fourier and Plancherel transforms. Thus part I would be particularly useful for students in a typical Statistics Ph.D. program if a separate course on real analysis is not a standard requirement. Part II (chapters 6-13) provides full coverage of standard graduate level probability theory. It starts with Kolmogorov's probability model and Kolmogorov's existence theorem. It then treats thoroughly the laws of large numbers including renewal theory and ergodic theorems with applications and then weak convergence of probability distributions, characteristic functions, the Levy-Cramer continuity theorem and the central limit theorem as well as stable laws. It ends with conditional expectations and conditional probability, and an introduction to the theory of discrete time martingales. Part III (chapters 14-18) provides a modest coverage of discrete time Markov chains with countable and general state spaces, MCMC, continuous time discrete space jump Markov processes, Brownian motion, mixing sequences, bootstrap methods, and branching processes. It could be used for a topics/seminar course or as an introduction to stochastic processes. Krishna B. Athreya is a professor at the departments of mathematics and statistics and a Distinguished Professor in the College of Liberal Arts and Sciences at the Iowa State University. He has been a faculty member at University of Wisconsin, Madison; Indian Institute of Science, Bangalore; Cornell University; and has held visiting appointments in Scandinavia and Australia. He is a fellow of the Institute of Mathematical Statistics USA; a fellow of the Indian Academy of Sciences, Bangalore; an elected member of the International Statistical Institute; and serves on the editorial board of several journals in probability and statistics. Soumendra N. Lahiri is a professor at the department of statistics at the Iowa State University. He is a fellow of the Institute of Mathematical Statistics, a fellow of the American Statistical Association, and an elected member of the International Statistical Institute.
Author:
Publisher: Krishna Prakashan Media
ISBN: 9788182830066
Category :
Languages : en
Pages : 314
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Book Description
Author:
Publisher: Krishna Prakashan Media
ISBN: 9788182830295
Category :
Languages : en
Pages : 208
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Book Description
Author: John E. Freund
Publisher: Courier Corporation
ISBN: 0486158438
Category : Mathematics
Languages : en
Pages : 276
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Book Description
Featured topics include permutations and factorials, probabilities and odds, frequency interpretation, mathematical expectation, decision making, postulates of probability, rule of elimination, much more. Exercises with some solutions. Summary. 1973 edition.
Author: Flavio M. Menezes
Publisher:
ISBN: 9780199275984
Category : Business & Economics
Languages : en
Pages : 200
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Book Description
The practical importance of auction theory is widely recognized. This is an introduction to the basic theory of auction that provided the insights for the design of auctions such as the sale of spectrum for mobiles telecommunications and the sale of former government-owned companies around the globe.
Author:
Publisher: Krishna Prakashan Media
ISBN: 9788187224068
Category :
Languages : en
Pages : 792
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Book Description
Author: Prakash S. Chougule
Publisher: Blue Rose Publishers
ISBN:
Category : Mathematics
Languages : en
Pages : 271
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Book Description
The book “Statistical Inference: Theory of Estimation” aims to help the student in gaining knowledge about Statistical Inference. This book contains five chapters like Point estimation, Likelihood function and Sufficiency, Cramer Rao Inequality, methods of estimation and Interval estimation. Every chapter has been divided into several headings and sub headings to offer clarity and conciseness. The authors have tried his best to simplify units and are written in very simple and lucid language. so that the reader can get an intuitive understanding the contains of the book. The number of examples included in the book will really make the study very easy and yet efficient. The question bank of simple and relative exercise included lot of multiple choice questions at the end of each chapter is given which helps the students to evaluate themselves. The book will particularly help students of B.Sc. and M.Sc. statistics classes.
Author: Krishna B. Athreya
Publisher: Springer Science & Business Media
ISBN: 0387354344
Category : Mathematics
Languages : en
Pages : 625
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Book Description
This is a graduate level textbook on measure theory and probability theory. It presents the main concepts and results in measure theory and probability theory in a simple and easy-to-understand way. It further provides heuristic explanations behind the theory to help students see the big picture. The book can be used as a text for a two semester sequence of courses in measure theory and probability theory, with an option to include supplemental material on stochastic processes and special topics. Prerequisites are kept to the minimal level and the book is intended primarily for first year Ph.D. students in mathematics and statistics.
Author: Marek Capinski
Publisher: Springer Science & Business Media
ISBN: 1447136314
Category : Mathematics
Languages : en
Pages : 229
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Book Description
This very well written and accessible book emphasizes the reasons for studying measure theory, which is the foundation of much of probability. By focusing on measure, many illustrative examples and applications, including a thorough discussion of standard probability distributions and densities, are opened. The book also includes many problems and their fully worked solutions.
