The purpose of this book is to present new mathematical techniques for modeling global issues. These mathematical techniques are used to determine linear equations between a dependent variable and one or more independent variables in cases where standard techniques such as linear regression are not suitable.
In this book, we examine cases where the number of data points is small (effects of nuclear warfare), where the experiment is not repeatable (the breakup of the former Soviet Union), and where the data is derived from expert opinion (how conservative is a political party). In all these cases the data is difficult to measure and an assumption of randomness and/or statistical validity is questionable.
We apply our methods to real world issues in international relations such as nuclear deterrence, smart power, and cooperative threat reduction. We next apply our methods to issues in comparative politics such as successful democratization, quality of life, economic freedom, political stability, and failed states. Finally, issues involving deaf and hard of hearing children are explored.
Studies in Computational Intelligence Editor-in-Chief Prof. Janusz Kacprzyk Systems Research Institute Polish Academy of Sciences ul. Newelska 6 01-447 Warsaw Poland E-mail:
[email protected]
For further volumes: http://www.springer.com/series/7092
463
John N. Mordeson, Mark J. Wierman, Terry D. Clark, Alex Pham, and Michael A. Redmond
Linear Models in the Mathematics of Uncertainty
ABC
Authors John N. Mordeson Department of Mathematics Creighton University Omaha USA
Alex Pham Department of Mathematics Creighton University Omaha USA
Mark J. Wierman Department of Computer Science Creighton University Omaha USA
Michael A. Redmond Department of Mathematics Creighton University Omaha USA
Terry D. Clark Department of Political Science Creighton University Omaha USA
ISSN 1860-949X e-ISSN 1860-9503 ISBN 978-3-642-35223-2 e-ISBN 978-3-642-35224-9 DOI 10.1007/978-3-642-35224-9 Springer Heidelberg New York Dordrecht London Library of Congress Control Number: 2012953004 c Springer-Verlag Berlin Heidelberg 2013 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. While the advice and information in this book are believed to be true and accurate at the date of publication, neith