Estimation of a Distribution function under Sampling on Two Occasions

• Main Author: V. Chadyšas
• Format: Article
• Language: English
• Published: Vilnius University Press 2009-07-01
• Series: Nonlinear Analysis
• Subjects: distribution function; sampling on two occasions; auxiliary information; regression estimator; ratio estimator
• Online Access: http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/14498

Estimation of the distribution function under sampling on two occasions with a simple random sampling design on each occasion is investigated. Composite regression and ratio type estimators are considered, using values of the study variable as auxiliary information obtained on the first occasion. The optimal estimator, in the sense of minimal variance, is also obtained. A simulation study, based on the real population data, is performed and the proposed estimators are compared by a simple estimator for a distribution function.