"An Introduction to Measure-Theoretic Probability, Second Edition, employs a classical approach to teaching the basics of measure theoretic probability. This book provides in a concise, yet detailed way, the bulk of the probabilistic tools that a student working toward an advanced degree in statistics, probability and other related areas should be equipped with. This edition requires no prior knowledge of measure theory, covers all its t ..."
"An Introduction to Probability and Statistical Inference, Second Edition, guides you through probability models and statistical methods and helps you to think critically about various concepts. Written by award-winning author George Roussas, this book introduces readers with no prior knowledge in probability or statistics to a thinking process to help them obtain the best solution to a posed question or situation. It provides a plethor ..."
"Introduction to Probability, Second Edition, discusses probability theory in a mathematically rigorous, yet accessible way. This one-semester basic probability textbook explains important concepts of probability while providing useful exercises and examples of real world applications for students to consider. This edition demonstrates the applicability of probability to many human activities with examples and illustrations. After introd ..."
"This book provides in a concise, yet detailed way, the bulk of the probabilistic tools that a student working toward an advanced degree in statistics,probability and other related areas, should be equipped with. The approach is classical, avoiding the use of mathematical tools not necessary for carrying out the discussions. All proofs are presented in full detail. * Excellent exposition marked by a ..."
"Roussas's Introduction to Probability features exceptionally clear explanations of the mathematics of probability theory and explores its diverse applications through numerous interesting and motivational examples. It provides a thorough introduction to the subject for professionals and advanced students taking their first course in probability. The content is based on the introductory chapters of Roussas's book, An Intoduction to Proba ..."
"A Course in Mathematical Statistics, Second Edition, contains enough material for a year-long course in probability and statistics for advanced undergraduate or first-year graduate students, or it can be used independently for a one-semester (or even one-quarter) course in probability alone. It bridges the gap between high and intermediate level texts so students without a sophisticated mathematical background can assimilate a fairly br ..."
Contiguity of Probability Measures(1st Edition) Some Applications in Statistics (Cambridge Tracts in Mathematics) by GeorgeG. Roussas Paperback, 264 Pages, Published 2008 by Cambridge University Press ISBN-13: 978-0-521-09095-7, ISBN: 0-521-09095-4
"This Tract presents an elaboration of the notion of 'contiguity', which is a concept of 'nearness' of sequences of probability measures. It provides a powerful mathematical tool for establishing certain theoretical results with applications in statistics, particularly in large sample theory problems, where it simplifies derivations and points the way to important results. The potential of this concept has so far only been touched upon i ..."
"Roussas's Introduction to Probability features exceptionally clear explanations of the mathematics of probability theory and explores its diverse applications through numerous interesting and motivational examples. It provides a thorough introduction to the subject for professionals and advanced students taking their first course in probability. The content is based on the introductory chapters of Roussas's book, An Intoduction to Proba ..."
"Roussas introduces readers with no prior knowledge in probability or statistics, to a thinking process to guide them toward the best solution to a posed question or situation. An Introduction to Probability and Statistical Inference provides a plethora of examples for each topic discussed, giving the reader more experience in applying statistical methods to different situations. "The text is wonderfully written and has the mostcomprehe ..."
Contiguity of Probability Measures Some Applications in Statistics (Cambridge Tracts in Mathematics) by GeorgeG. Roussas Hardcover, 262 Pages, Published 1972 by Cambridge University Press ISBN-13: 978-0-521-08354-6, ISBN: 0-521-08354-0
"This Tract presents an elaboration of the notion of 'contiguity', which is a concept of 'nearness' of sequences of probability measures. It provides a powerful mathematical tool for establishing certain theoretical results with applications in statistics, particularly in large sample theory problems, where it simplifies derivations and points the way to important results. The potential of this concept has so far only been touched upon i ..."
"A Course in Mathematical Statistics, Second Edition, contains enough material for a year-long course in probability and statistics for advanced undergraduate or first-year graduate students, or it can be used independently for a one-semester (or even one-quarter) course in probability alone. It bridges the gap between high and intermediate level texts so students without a sophisticated mathematical background can assimilate a fairly br ..."
"This chapter is about statistical analysis in certain statistical models referred to as
Analysis of Variance (ANOVA). There is a ... In this section, we derive the MLE's
of the parameters μi ,i = 1,...,I and σ2 described in relation (13) of Chapter 8. Next
..."
"The first section is devoted to the definition of the concept of probability. We start
with the simplest case, where complete symmetry occurs, proceed with the
definition by means of relative frequency, and conclude with the axiomatic
definition of ..."
"This book provides in a concise, yet detailed way, the bulk of the probabilistic tools that a student working toward an advanced degree in statistics,probability and other related areas, should be equipped with. The approach is classical, avoiding the use of mathematical tools not necessary for carrying out the discussions. All proofs are presented in full detail.* Excellent exposition marked by a clear, coherent and logical devleopment ..."
"CO 3 (ii) P(x-3)=cy =ex}=exo-oxo = , = # -0.037 Gio Pozzo-oo-oo-ed to +} + 9 = 3
2 - - - - 3 — ex H = ex ; – 3 × 3 = 0.25. (iv) P(X = 3k + 1, k = 0, 1,...) = c XLoo or = c
(; + 3 + 3 + . . ) = 1/3 9 2 9 — 3 ~ ex H =ex # = {x : = , = 0.231. 2.16 (i) P(no items ..."
A Course in Mathematical Statistics(2nd Edition) A Course in Mathematical Statistics by GeorgeG. Roussas Paperback, 593 Pages, Published 1997 by Academic Press ISBN-13: 978-0-08-049314-5, ISBN: 0-08-049314-9
"A Course in Mathematical Statistics, Second Edition, contains enough material for a year-long course in probability and statistics for advanced undergraduate or first-year graduate students, or it can be used independently for a one ..."
"[2] Billingsley,Patrick(1995) Probability and Measure, 3rded. John Wiley & Sons,
New York. [3] Billingsley, Patrick (1999) Convergence of Probability Measures,
2nd ed. John Wiley & Sons, New York. [4] Dieudonné,J.(1960) Foundations of
Modern Analysis. Academic Press, Boston. [5] Ferguson, Thomas S. (1996). A
Course in Large Sample Theory. Chapman & Hall/CRC. [6] Fristedt, Bert and
Gray, Lawrence (1997) A Modern Approach to Probabil ..."
"This volume consists of 22 research papers by leading researchers in Probability and Statistics. Many of the papers are focused on themes that Professor Bhattacharya has published on research. Topics of special interest include nonparametric inference, nonparametric curve fitting, linear model theory, Bayesian nonparametrics, change point problems, time series analysis and asymptotic theory. This volume presents state-of-the-art resear ..."