Abstract
This paper describes the density-quantile function approach to statistical analysis of a sample as involving five phases requiring the study of various population raw and smoothed quantile and density-quantile functions. The phases can be succinctly described in terms of the notation for the functions studied: (1) Q, fQ, q, (ii) \(\tilde Q,\tilde q\), (iii) \(\tilde fQ\), (iv) \(\hat fQ,\hat d\), d(u)=f0Q0(u)q(u)/σ0, σ0 = ∫ 10 f0Q0(u)q(u)du, (v) \(\hat Q = \hat \mu + \hat \sigma Q_0\).
Research supported by grant DAAG29-78-G-0180 from the Army Research Office.
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© 1979 Springer-Verlag
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Parzen, E. (1979). Density quantile estimation approach to statistical data modelling. In: Gasser, T., Rosenblatt, M. (eds) Smoothing Techniques for Curve Estimation. Lecture Notes in Mathematics, vol 757. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0098495
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DOI: https://doi.org/10.1007/BFb0098495
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-09706-8
Online ISBN: 978-3-540-38475-5
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