Sampling Designs with Linear and Quadratic Probability Functions

作     者：Lennart Bondesson Anton Grafstrom Imbi Traat 

作者机构：Department of Mathematics and Mathematical StatisticsUmea UniversityUmeaSweden Department of Forest Resource ManagementSwedish University of Agricultural SciencesUmeaSweden Institute of Mathematical StatisticsUniversity of TartuTartuEstonia 

基　　金：supported by the Estonian Science Foundation grant 8789 

出 版 物：《Open Journal of Statistics》 (统计学期刊（英文）)

年 卷 期：2014年第4卷第3期

页      码：178-187页

摘      要：Fixed size without replacement sampling designs with probability functions that are linear or quadratic functions of the sampling indicators are defined and studied. Generality, simplicity, remarkable properties, and also somewhat restricted flexibility characterize these designs. It is shown that the families of linear and quadratic designs are closed with respect to sample complements and with respect to conditioning on sampling outcomes for specific units. Relations between inclusion probabilities and parameters of the probability functions are derived and sampling procedures are given.

主 题 词：Complementary Midzuno Design Conditional Sample Inclusion Probability Midzuno Design Mixture of Designs Parameters of Design Sample Complement Sinha Design 

学科分类：07[理学] 0701[理学-数学类] 070101[070101] 

D　O　I：10.4236/ojs.2014.43017

馆 藏 号：203774233...