On the estimation of the characteristic function in finite populations with applications

• Published in: Test (Madrid, Spain) Vol. 27; no. 1; pp. 95 - 121
• Main Authors: Jiménez-Gamero, M. D., Moreno-Rebollo, J. L., Mayor-Gallego, J. A.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.03.2018; Springer Nature B.V
• Subjects: Characteristic functions; Economics; Estimating techniques; Finance; Insurance; Management; Mathematics and Statistics; Original Paper; Population; Random variables; Sampling; Sampling designs; Statistical Theory and Methods; Statistics; Statistics for Business; Testing; Characteristic function; Test for independence; 62G09; Test for symmetry; Finite population; 62G10; Test for the two-sample problem; High entropy designs; 62D05; Design-based inference

This paper studies the estimation of the characteristic function of a finite population. Specifically, the weak convergence of the finite population empirical characteristic process is studied. Under suitable assumptions, it has the same limit as the empirical characteristic process for independent,...