is called an imputation of the game; i t is interpreted as a possible set of payments to the players. The term coalition is used for any non-empty set of players (who are thought to cooperate in the playing of the game); any proper partition of I, will be called a coalition structure. The symbols I, , v, X, xi with and without primes will be used throughout with the above meanings. S and T will...

In this article we consider the estimation of population mean when some observations on the study characteristic are missing in the bivari ate sample data In all ve estimators are presented and their e ciency properties are discussed One estimator arises from the the amputation of incomplete observations while the remaining four estimators are formu lated using inputed values obtained by the ra...

....................................................................................................................................... iii List of Abbreviations and Notation ............................................................................................. iv

Multiple imputation, as described by Rubin, has seen a wide variety of applications. Counterexamples, presented by Fay (1991), and new methods, such as those of J.N.K. Rao and J. Shao, that can asymptotically disagree with the multiple imputation approach, have raised questions about the validity of multiple imputation. This paper identifies critical restrictions on the practical application of...

The helpful comments of John Fallon, Michael Blake and George Tzanidakis of the QCA are gratefully appreciated. However the views expressed here are those of the author.

To deal with the problems of non response, one parameter classes of imputation techniques have been suggested and their corresponding point estimators have been proposed. The proposed estimator is more efficient than several other estimators. A design based approach is used to compare the proposed strategy with existing strategies. Theoretical results have been verified through empirical studie...

We derive an estimator of the asymptotic variance of both single and multiple imputation estimators. We assume a parametric imputation model but allow for non-and semipara-metric analysis models. Our variance estimator, in contrast to the estimator proposed by Rubin (1987), is consistent even when the imputation and analysis models are misspecified and incompatible with one another.

When some observations in the sample data are missing, the application of the regression method is considered for the estimation of population mean with and without the use of imputation. The performance properties of the estimators based on the methods of mean imputation, regression imputation and no imputation are analyzed and the superiority of one method over the other is examined.

Copyright 2013 by [Haluk Gedikoglu and Joe L. Parcell]. All rights reserved. Readers may make verbatim copies of this document for non-commercial purposes by any means, provided that this copyright notice appears on all such copies.