Measure and Integral e-bog
619,55 DKK
(inkl. moms 774,44 DKK)
Probability and Mathematical Statistics: Measure and Integral provides information pertinent to the general mathematical notions and notations. This book discusses how the machinery of ?-extension works and how ?-content is derived from ?-measure. Organized into 16 chapters, this book begins with an overview of the classical Hahn-Banach theorem and introduces the Banach limits in the form of a...
E-bog
619,55 DKK
Forlag
Academic Press
Udgivet
10 juli 2014
Længde
592 sider
Genrer
PBK
Sprog
English
Format
pdf
Beskyttelse
LCP
ISBN
9781483263045
Probability and Mathematical Statistics: Measure and Integral provides information pertinent to the general mathematical notions and notations. This book discusses how the machinery of ?-extension works and how ?-content is derived from ?-measure. Organized into 16 chapters, this book begins with an overview of the classical Hahn-Banach theorem and introduces the Banach limits in the form of a major exercise. This text then presents the Daniell extension theory for positive ?-measures. Other chapters consider the transform of ?-contents and ?-measures by measurable mappings and kernels. This text is also devoted to a thorough study of the vector lattice of signed contents. This book discusses as well an abstract regularity theory and applied to the standard cases of compact, locally compact, and Polish spaces. The final chapter deals with the rudiments of the Krein-Milman theorem, along with some of their applications. This book is a valuable resource for graduate students.