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

• M. D. Jiménez-Gamero ^[1] ; J. L. Moreno-Rebollo ^[1] ; J. A. Mayor-Gallego ^[1]
  1. [1] Universidad de Sevilla

     Universidad de Sevilla

     Sevilla, España

     
• Localización: Test: An Official Journal of the Spanish Society of Statistics and Operations Research, ISSN-e 1863-8260, ISSN 1133-0686, Vol. 27, Nº. 1, 2018 (Ejemplar dedicado a: Special issue on goodness of fit (GOF)), págs. 95-121
• Idioma: inglés
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• Resumen

  • 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.