Per K. Andersen, Niels Keiding, Richard D. Gill, Ornulf Borgan

Statistical Models Based on Counting Processes

• Broschiertes Buch

Produktbeschreibung

Modern survival analysis and more general event history analysis may be effectively handled within the mathematical framework of counting processes. This book presents this theory, which has been the subject of intense research activity over the past 15 years. The exposition of the theory is integrated with careful presentation of many practical examples, drawn almost exclusively from the authors'own experience, with detailed numerical and graphical illustrations. Although Statistical Models Based on Counting Processes may be viewed as a research monograph for mathematical statisticians and biostatisticians, almost all the methods are given in concrete detail for use in practice by other mathematically oriented researchers studying event histories (demographers, econometricians, epidemiologists, actuarial mathematicians, reliability engineers and biologists). Much of the material has so far only been available in the journal literature (if at all), and so a wide variety of researchers will find this an invaluable survey of the subject.

Produktdetails

• Springer Series in Statistics
• Verlag: Springer New York / Springer US, New York, N.Y.
• 1st ed. 1993. Corr. 3rd printing 1995
• Seitenzahl: 784
• Erscheinungstermin: 23. Juni 1995
• Englisch
• Abmessung: 235mm x 155mm x 42mm
• Gewicht: 1165g
• ISBN-13: 9783540978725
• ISBN-10: 3540978720
• Artikelnr.: 22266971

Inhaltsangabe

Contents: Introduction.
The mathematical background.
Model specification and censoring.
Nonparametric estimation.
Nonparametric hypothesis testing.
Parametric models.
Regression models.
Asymptotic efficiency.
Frailty models.
Multivariate time scales.
Appendix: The melanoma survival data and standard mortality tables for the Danish population 1971
75.