Modern Sampling Theory

A state-of-the-art edited survey covering all aspects of sampling theory. Theory, methods and applications are discussed in authoritative expositions ranging from multi-dimensional signal analysis to wavelet transforms. The book is an essential up-to-date resource.

This book provides an introduction to modern sampling survey theory. The author proposed an original approach based on an index free formalism. This formulation turns out to be ideal for taking advantage of many modern statistical software (such as Matlab or R), which allow managing vectors and data matrix as single algebraic objects. The book represents an introduction covering all the topics usually treated in standard sample survey books, such as: random samples and sampling designs, estimators and their properties, non-response. Moreover, even though sampling algorithm theory is not presented systematically, the author provides a large set of codes and examples allowing the reader to implement almost every sampling scheme discussed within the book. Only basic knowledge of algebra, calculus, probability and programming, that are within the academic curriculum of any scientific graduated student, is required. The aim of the book is to provide all the basic scientific knowledge and technical tools needed to start projecting and developing a modern sample survey.

This venture aspires to be a mix of a textbook at the undergraduate and postgraduate levels and a monograph to catch the attention of researchers in theoretical and practical aspects of survey sampling at diverse levels demanding a comprehensive review of what useful materials have preceded, with an eye to what beacons to the depth of the imminent future.

Now available in paperback, this book provides a comprehensive account of survey sampling theory and methodology suitable for students and researchers across a variety of disciplines. It shows how statistical modeling is a vital component of the sampling process and in the choice of estimation technique. The first textbook that systematically extends traditional sampling theory with the aid of a modern model assisted outlook. Covers classical topics as well as areas where significant new developments have taken place.