Books in Statistics and probability

Statistical Methods for Meta-Analysis

1st Edition
July 10, 1985
Larry V. Hedges + 1 more
English
Hardback
9 7 8 0 1 2 3 3 6 3 8 0 0
eBook
9 7 8 0 0 8 0 5 7 0 6 5 5

The main purpose of this book is to address the statistical issues for integrating independent studies. There exist a number of papers and books that discuss the mechanics of collecting, coding, and preparing data for a meta-analysis , and we do not deal with these. Because this book concerns methodology, the content necessarily is statistical, and at times mathematical. In order to make the material accessible to a wider audience, we have not provided proofs in the text. Where proofs are given, they are placed as commentary at the end of a chapter. These can be omitted at the discretion of the reader.Throughout the book we describe computational procedures whenever required. Many computations can be completed on a hand calculator, whereas some require the use of a standard statistical package such as SAS, SPSS, or BMD. Readers with experience using a statistical package or who conduct analyses such as multiple regression or analysis of variance should be able to carry out the analyses described with the aid of a statistical package.

Stochastic Wave Propagation

1st Edition
December 2, 2012
K. Sobczyk
English
eBook
9 7 8 0 4 4 4 5 9 8 0 4 2

This is a concise, unified exposition of the existing methods of analysis of linear stochastic waves with particular reference to the most recent results. Both scalar and vector waves are considered. Principal attention is concentrated on wave propagation in stochastic media and wave scattering at stochastic surfaces. However, discussion extends also to various mathematical aspects of stochastic wave equations and problems of modelling stochastic media.

Markov Chains

1st Edition
Volume 11
May 1, 1984
D. Revuz
English
Hardback
9 7 8 0 4 4 4 8 6 4 0 0 0
eBook
9 7 8 0 0 8 0 8 8 0 2 2 8

This is the revised and augmented edition of a now classic book which is an introduction to sub-Markovian kernels on general measurable spaces and their associated homogeneous Markov chains. The first part, an expository text on the foundations of the subject, is intended for post-graduate students. A study of potential theory, the basic classification of chains according to their asymptotic behaviour and the celebrated Chacon-Ornstein theorem are examined in detail.The second part of the book is at a more advanced level and includes a treatment of random walks on general locally compact abelian groups. Further chapters develop renewal theory, an introduction to Martin boundary and the study of chains recurrent in the Harris sense. Finally, the last chapter deals with the construction of chains starting from a kernel satisfying some kind of maximum principle.

Probability Theory with Applications

1st Edition
February 1, 1984
M. M. Rao
English
eBook
9 7 8 0 0 8 0 9 2 5 3 6 3

The material in this book is designed for a standard graduate course on probability theory, including some important applications. It was prepared from the sets of lecture notes for a course that I have taught several times over the past 20 years. The present version reflects the reactions of my audiences as well as some of the textbooks that I used.

Stochastic Modelling of Social Processes

1st Edition
May 10, 2014
Andreas Diekmann + 1 more
English
eBook
9 7 8 1 4 8 3 2 6 6 5 6 5

Stochastic Modelling of Social Processes provides information pertinent to the development in the field of stochastic modeling and its applications in the social sciences. This book demonstrates that stochastic models can fulfill the goals of explanation and prediction. Organized into nine chapters, this book begins with an overview of stochastic models that fulfill normative, predictive, and structural–analytic roles with the aid of the theory of probability. This text then examines the study of labor market structures using analysis of job and career mobility, which is one of the approaches taken by sociologists in research on the labor market. Other chapters consider the characteristic trends and patterns from data on divorces. This book discusses as well the two approaches of stochastic modeling of social processes, namely competing risk models and semi-Markov processes. The final chapter deals with the practical application of regression models of survival data. This book is a valuable resource for social scientists and statisticians.

Scientific Inference, Data Analysis, and Robustness

1st Edition
May 10, 2014
G. E. P. Box + 2 more
English
eBook
9 7 8 1 4 8 3 2 5 9 3 9 0

Mathematics Research Center Symposium: Scientific Inference, Data Analysis, and Robustness focuses on the philosophy of statistical modeling, including model robust inference and analysis of data sets. The selection first elaborates on pivotal inference and the conditional view of robustness and some philosophies of inference and modeling, including ideas on modeling, significance testing, and scientific discovery. The book then ponders on parametric empirical Bayes confidence intervals, ecumenism in statistics, and frequency properties of Bayes rules. Discussions focus on consistency of Bayes rules, scientific method and the human brain, and statistical estimation and criticism. The book takes a look at the purposes and limitations of data analysis, likelihood, shape, and adaptive inference, statistical inference and measurement of entropy, and the robustness of a hierarchical model for multinomials and contingency tables. Topics include numerical results for contingency tables and robustness, multinomials, flattening constants, and mixed Dirichlet priors, entropy and likelihood, and test as measurement of entropy. The selection is a valuable reference for researchers interested in robust inference and analysis of data sets.

Operational Gaming

1st Edition
May 17, 2014
Ingolf Ståhl
English
eBook
9 7 8 1 4 8 3 1 9 0 6 8 6

Operational Gaming: An International Approach is the result of research carried out at the International Institute for Applied Systems Analysis (IIASA) situated at Laxenburg (near Vienna), Austria, which relates game theory and system analysis to decision making. The book first shows the relationship of game theory, experimental gaming, and operational gaming through a state-of-the-art survey. This topic includes the history, context, type, and uses of gaming. Then, the text shifts to the discussion on operational gaming, including the definitions of institutional model and game situation concepts. An overview of gaming in different nations including USSR is provided. The book also studies the international transfer of games and the East-West international trade games. The future of this field of study, as well as its implications for humans, is also examined in the latter parts. This book will be of significance to those interested in game theories and those people involved in policy and decision making in their country or organization.

Spectral Analysis and Time Series, Two-Volume Set

1st Edition
Volume 1-2
October 27, 1982
M. B. Priestley
English
Paperback
9 7 8 0 1 2 5 6 4 9 2 2 3

A principal feature of this book is the substantial care and attention devoted to explaining the basic ideas of the subject. Whenever a new theoretical concept is introduced it is carefully explained by reference to practical examples drawn mainly from the physical sciences. Subjects covered include: spectral analysis which is closely intertwined with the "time domain" approach, elementary notions of Hilbert Space Theory, basic probability theory, and practical analysis of time series data. The inclusion of material on "kalman filtering", state-space filtering", "non-linear models" and continuous time" models completes the impressive list of unique and detailed features which will give this book a prominent position among related literature. The first section—Volume 1—deals with single (univariate) series, while the second—Volume 2—treats the analysis of several (multivariate) series and the problems of prediction, forecasting and control.

Stochastic Models, Estimation, and Control

1st Edition
Volume 3
August 25, 1982
Peter S. Maybeck
English
eBook
9 7 8 0 0 8 0 9 6 0 0 3 6

This volume builds upon the foundations set in Volumes 1 and 2. Chapter 13 introduces the basic concepts of stochastic control and dynamic programming as the fundamental means of synthesizing optimal stochastic control laws.

The Single Server Queue

2nd Edition
Volume 8
December 2, 2012
J.W. Cohen
English
eBook
9 7 8 0 4 4 4 5 9 6 2 4 6

This classic work, now available in paperback, concentrates on the basic models of queueing theory. It has a dual aim: to describe relevant mathematical techniques and to analyse the single server queue and its most important variants.

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