This book tackles the Optimal Non-Linear Experimental Design problem from an applications perspective. At the same time it offers extensive mathematical background material that avoids technicalities, making it accessible to non-mathematicians: Biologists, Medical Statisticians, Sociologists, Engineers, Chemists and Physicists will find new approaches to conducting their experiments. The book is recommended for Graduate Students and Researchers.
Tabella dei contenuti
1.Introduction.- 2. Motivation.- 3.Locally Optimal Designs.- 4.Static Design.- 5.Sequential Designs.- 6.Approximate Confidence Regions.- 7.Working with Data: Simulation Studies.- 8.A Case Study: Optimal Designs in Rythmometry.- 9.Discussion.- References.- A1.Caratheodory’s Theorem.- A2.Silvapulle’s Theorem.- A3.Conditional Inverse.- A4.Simulation I Results, Tables 7.1 – 7.5.- A5.Simulation II Results, Tables 7.7 – 7.14.
Circa l’autore
Professor Christos Kitsos received his first degree in Mathematics from the University of Athens, Greece (1973), his Master’s in Mathematics & Statistics from the University of New Brunswick, Canada (1978), and his Ph D in Statistics from the University of Glasgow, Scotland, UK (1986). His research interests are in Optimal Experimental Design (mainly on Non-Linear), Industrial Statistics, Risk Assessment (in Cancer Bioassays, Environmental etc) and in Information Measures. He has participated in various research Programs in Greece, either as a project leader or researcher. He is also active in the European programs ERASMUS and sometime ago to TEMPUS, visiting and lecturing at a number of European and Greek Universities (U. of Patras, U. of Athens, Athens U. of Economics, and the U. of Thessally). Professor Kitsos is currently lecturing as a Professor of Statistics at the Technological Educational Institute of Athens. He has published 115 papers in journals and in proceedings volumes and 78 for conferences. As a head of local organizing committees, he has worked for major international conferences such as MODA, ICRA etc. He has published 8 university-level books on Statistics and Mathematics in Greek; in English he is the co- editor, among other editions, of 3 editions on Industrial Statistics, Model Oriented Data Analysis and Qualitative Methods on Cancer and has published two monographs concerning the Calibration Problem and the Cancer Bioassays. Currently, Professor Kitsos is a member of both the ISI proper and its Committee of Risk Assessment; of the IASC (International Association of Statistical Computing) where he served as a council member from 1998-2001) and a council member of the Greek Statistical Institute. He also served as the Head of the Department of Mathematics (2005-2010) and the Head of the Liaison Office (2004-2008) at the Technological Educational Institute of Athens.