Estimation of finite population distribution function with auxiliary information in a complex survey sampling

• Mohsin Abbas ^[1] ; Abdul Haq ^[1]
  1. [1] Quaid-i-Azam University

     Quaid-i-Azam University

     Pakistán

     
• Localización: Sort: Statistics and Operations Research Transactions, ISSN 1696-2281, Vol. 46, Nº. 1, 2022, págs. 67-94
• Idioma: inglés
• Enlaces
  • Texto completo (pdf)
• Resumen

  • In this paper, we consider the problem of estimating the finite population cumulative distribution function (CDF) in a complex survey sampling, which includes two-stage and three-stage cluster sampling schemes with and without stratification. We propose two new families of CDF estimators using supplementary information on a single auxiliary variable. Explicit mathematical expressions of the biases and mean squared errors of the proposed CDF estimators are developed under the first order of the approximation. Real datasets are also considered to support the proposed theory.