This short monograph provides a synthesis of new research on sampling designs that are dependent on sample moments or the order statistics of auxiliary variables. The range of survey sampling methods and their applications has gradually increased over time, and these applications have led to new theoretical solutions that provide better sampling designs or estimators. Recently, several important properties of sampling designs have been discovered, and many new methods have been published. Offering an overview of these developments, this book describes sampling designs dependent on the sample generalized variance of auxiliary variables, examines properties of sampling designs proportional to functions of sample order statistics of the auxiliary variable, and takes into account continuous sampling designs. The text will be useful for students and statisticians whose work involves survey sampling, and it will inspire those looking for new sampling designs dependent on auxiliary variables.

Introduction and Basic Sampling Strategies.- Sampling Designs Dependent on Sample Moments of Auxiliary Variables.- Sampling Designs Based on Order Statistics of Auxiliary Variable.- Simulation Analysis of the Efficiency of the Strategies.- Sampling Designs dependent on a Continuous Auxiliary Variable.

Prof. Wywial received his PhD in 1985 from the University of Economics in Katowice, Poland, where he is now professor of Economics and Statistics.He became a habilitated doctor in 1992, and has been a full professor since 1996. He has been the chair of the Department of Statistics since 2000 and of the Department of Statistics, Econometrics and Mathematics since 2018. He is a member of the International Statistical Institute, the International Association for Survey Statisticians and the Editorial Board of Statistics in Transition. His interests are mainly focused on survey sampling methods and applications of statistical inference methods in economics research. His most important publications are available at ORCID: 0000-0002-3392-1688