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

M. D. Jiménez-Gamero (), J. L. Moreno-Rebollo () and J. A. Mayor-Gallego ()
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M. D. Jiménez-Gamero: Universidad de Sevilla
J. L. Moreno-Rebollo: Universidad de Sevilla
J. A. Mayor-Gallego: Universidad de Sevilla

TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, 2018, vol. 27, issue 1, No 6, 95-121

Abstract: Abstract 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, identically distributed data from a random variable, up to a multiplicative constant depending on the sampling design. Applications of the obtained results for the two-sample problem, testing for independence and testing for symmetry are given.

Keywords: Finite population; Design-based inference; High entropy designs; Characteristic function; Test for the two-sample problem; Test for independence; Test for symmetry; 62D05; 62G10; 62G09 (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s11749-016-0514-2

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