Spatial variation. 2nd ed. (English) Zbl 0608.62122

Matérn, Bertil

Lecture Notes in Statistics, 36. Berlin etc.: Springer-Verlag. 151 p. DM 33.00 (1986).

The book is a new edition of a report from the Forest Research Institute of Sweden first published in 1960. It was at the same time a doctoral thesis in mathematical statistics at Stockholm University.
After a general introduction to stationary stochastic processes in \({\mathbb{R}}^ n\), a number of specific models of spatial variation are presented and finally various sampling problems in \({\mathbb{R}}\) and \({\mathbb{R}}^ 2\) are discussed.
There are only minor changes compared to the first edition: misprints and errors are corrected, an author and a subject index are added, and a postscript on more recent developments of the subject is also added.

Reviewer: J.Lillestøl

MSC:

62M99	Inference from stochastic processes
60G60	Random fields
62-01	Introductory exposition (textbooks, tutorial papers, etc.) pertaining to statistics
60-01	Introductory exposition (textbooks, tutorial papers, etc.) pertaining to probability theory
60G10	Stationary stochastic processes
62D05	Sampling theory, sample surveys

Keywords:

isotropic processes; spatial variation; sampling problems