On the goodness-of-fit procedure for normality based on the empirical characteristic function for ranked set sampling data

N. Balakrishnan (), M. Brito () and A. Quiroz ()

Metrika: International Journal for Theoretical and Applied Statistics, 2013, vol. 76, issue 2, 177 pages

Abstract: The behaviour of the goodness-of-fit procedure for normality based on weighted integrals of the empirical characteristic function, discussed in the case of i.i.d. data, for instance, in Epps and Pulley (Biometrika 70:723–726, 1983 ), is considered here in the context of ranked set sampling (RSS) data. In the RSS context, we obtain the limiting distribution of the empirical characteristic process and perform a power study, against a broad set of alternatives, that enables an evaluation of the gain in power that occurs when a simple random sample is replaced by RSS data. The adaptation of the results obtained in the Gaussian RSS setting to the case of other important location-scale families is also discussed. Copyright Springer-Verlag 2013

Keywords: Ranked set sampling; Goodness-of-fit; Empirical characteristic function (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s00184-012-0381-0

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