Sampling Designs with Linear and Quadratic Probability Functions

• 作者: Anton Grafstr?m Imbi Traat Lennart Bondesson
• 来源期刊: 统计学期刊(英文)
• 学科: 数学
• 关键词: COMPLEMENTARY Midzuno DESIGN CONDITIONAL SAMPLE Inclusion Probability Midzuno DESIGN Mixture of DESIGNS Parameters of DESIGN SAMPLE COMPLEMENT Sinha DESIGN
• 年，卷（期）: 2014,（3）
• 页码范围: 178-187
• 页数: 10页
• 分类号: O1

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.