Runs and Scans with Applications
Wiley Series in Probability and Statistics (Series Nr. 1)
1. Edition December 2001
488 Pages, Hardcover
Wiley & Sons Ltd
Short Description
This book presents both the theoretical as well as the applied aspects of runs and patterns, and illustrates through various applications from science and engineering their important role in the field of reliability analysis. This hot topic addresses both classical problems (such as sooner and later waiting time) and current problems (such as consecutive systems, start-up demonstration testing in life-testing experiments, learning and memory models, and "match" in genetic codes).
Expert practical and theoretical coverage of runs and scans
This volume presents both theoretical and applied aspects of runs and scans, and illustrates their important role in reliability analysis through various applications from science and engineering. Runs and Scans with Applications presents new and exciting content in a systematic and cohesive way in a single comprehensive volume, complete with relevant approximations and explanations of some limit theorems.
The authors provide detailed discussions of both classical and current problems, such as:
* Sooner and later waiting time
* Consecutive systems
* Start-up demonstration testing in life-testing experiments
* Learning and memory models
* "Match" in genetic codes
Runs and Scans with Applications offers broad coverage of the subject in the context of reliability and life-testing settings and serves as an authoritative reference for students and professionals alike.
List of Figures.
Preface.
Introduction and Historical Remarks.
Waiting for the First Run Occurrence.
Applications.
Waiting for Multiple Run Occurrences.
Number of Run Occurrences.
Sooner/Later Run Occurrences.
Multivariate Run-Related Distributions.
Applications.
Waiting for the First Scan.
Waiting for Multiple Scans.
Number of Scan Occurrences.
Applications.
Bibliography.
Author Index.
Subject Index.
"...provides excellent coverage of the topic of scans, and runs, including a nice historical account and guide to the literature..." (Technometrics, Vol. 44, No. 4, November 2002)
"...highly recommended...well done and perfectly edited..." (Journal of the American Statistical Association, December 2002)
"...a great resource..." (International Journal of General Systems, Vol. 32, 2003)
MARKOS V. KOUTRAS, PhD, is Professor of Statistics at the University of Piraeus in Greece, where he researches applied probability, reliability, and distribution theory.