Computation of Multivariate Normal and t Probabilities

Computation of Multivariate Normal and t Probabilities
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Artikel-Nr:
9783642016899
Veröffentl:
2009
Einband:
eBook
Seiten:
126
Autor:
Alan Genz
Serie:
195, Lecture Notes in Statistics
eBook Typ:
PDF
eBook Format:
Reflowable eBook
Kopierschutz:
Digital Watermark [Social-DRM]
Sprache:
Englisch
Beschreibung:

Multivariate normal and t probabilities are needed for statistical inference in many applications. Modern statistical computation packages provide functions for the computation of these probabilities for problems with one or two variables. This book describes recently developed methods for accurate and efficient computation of the required probability values for problems with two or more variables. The book discusses methods for specialized problems as well as methods for general problems. The book includes examples that illustrate the probability computations for a variety of applications.

This book describes recently developed methods for accurate and efficient computation of the required probability values for problems with two or more variables. It includes examples that illustrate the probability computations for a variety of applications.

Multivariate normal and t probabilities are needed for statistical inference in many applications. Modern statistical computation packages provide functions for the computation of these probabilities for problems with one or two variables. This book describes recently developed methods for accurate and efficient computation of the required probability values for problems with two or more variables. The book discusses methods for specialized problems as well as methods for general problems. The book includes examples that illustrate the probability computations for a variety of applications.

Introduction.- Special Cases.- Methods That Approximate the Problem.- Methods That Approximate the Integral.- Further Topics: Linear Inequality Constraints.- Singular Distributions.- Singular Distributions.- Numerical Tests.- Software Implementations.- Applications.- Description of the R Functions.- Description of the MATLAB Functions.

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