- CarrollR. J. and RuppertD. (1988). Transformation and Weighting in Regression. New York. Chapman and Hall.
- DavidH. A. and NagarajaH. N. (2003). Order Statistics (3rd Edition). HobokenNew Jersey. John Wiley and Sons Inc.
- EdgeworthP. Y. (1888). On a new method of reducing observations relating to several quantities. Philosophical Magazine 16, 360–375.
- FriemerM., MudholkerG. S., KolliaG. and LinC. T. (1988). A study of the generalized Tukey lambda distribution. Comm. Statist. Theory Meth. 17, (10) 3547–3567.
- GaltonP. (1883). Enquiries into Human Faculty and Its Development. London. Macmillan.
- GilchristW. G. (1979). Statistical Modelling. Chichester. John Wiley and Sons.
- GilchristW. G. (1997). Modeling with quantile distribution functions. Journal of Applied Statistics. 24 (1) 113–122.
- GilchristW. G. (2000). Statistical Modelling with Quantile Functions. Bocca RatonFI. Chapman and Hall / CRC Press.
- GilchristW.G. (2005). Galton misrepresented. Significance. 2 (3), 136–137.
- HaldA. (1952). Statistical Theory with Engineering Applications. New York. John Wiley and Sons.
- HankinR. K. S. and LeeA. (2006). A New Family of Non-negative Distributions. Aust. N. Z. J. Stat. 48 (1), 67–78.
- HarterH. L. and BalakrishnanN. (1996). The CRC Handbook of Tables for the use of Order Statistics in Estimation. Boca RatonFI. CRC Press.
- HastingsC., MostellerF., TukeyJ. W. and WinsorC. P. (1947). Low moments for small samples: a comparative study of statistics. Ann. Math. Statist. 18, 413–426.
- HeathcoteA. BrownS. and MewhortD. J. K. (2002). Quantile maximum likelihood estimation of response time distributions. Psychonomic Bulletin & Review, 9, 394–401.
- JohnsonN. L., KotzS. and BalakrishnanN. (1994 and 1995). Continuous Univariate Distributions. 2nd Edition, Vols 1 and 2. New York. John Wiley and Sons.
- KampsU. (1991). A general recurrence relation for moments of order statistics in a class of probability distributions and characterizations. Metrika, 38, 215–225.
- KarianZ.A. and DudewiczE.J. (2000). Fitting Statistical Distributions: The Generalized Lambda Distribution and Generalized Bootstrap Methods. Boca RatonF1. CRC Press.
- KoenkerR.W. (2000). Galton, Edgeworth, Frisch, and prospects for quantile regression in economics. Jnl of Econometrics, 95, 347–374.
- KoenkerR.W. (2005). Quantile Regression. Cambridge. Cambridge University Press.
- KoenkerR.W. and BassettG (1978). Regression Quantiles. Econometrica, 46, (1) 33–50.
- LloydE. H. (1952). Least Squares estimation of location and scale parameters using order statistics. Biometrica. 38, 88–95.
- OzturkA and DaleR. F. (1985). Least squares estimation of the parameters of the generalized lambda distribution. Technometrics, 27, (1) 81–84.
- ParzenE. (1979). Nonparametric statistical data modeling. J. Amer. Statist. Assoc. 74, 105–121.
- RambergJ. S. and SchmeiserB. W. (1972). An approximate method for generating symmetric random variables. Comm. ACM. 15, 987–990.
- RambergJ. S. and SchmeiserB. W. (1974). An approximate method for generating asymmetric random variables. Comm. ACM. 17, 78–82.
- RambergJ. S., TadikamalaP. R., DudewiczE. J., and MytytkaE. F. (1979). A probability distribution and its uses in fitting data. Technometrics, 21, 201–214.
- TarsitanoA. (2000). Fitting the Wakeby Model using maximum likelihood. (Paper, and others, available at www.ecostat.unical.it/Tarsitano/atarsita.htm).
- TarsitanoA. (2004). Fitting the Generalized lambda Distribution to Income Data. COMPSTAT' 2004 1862–1861..
- TarsitanoA. (2005). Estimation of GLD parameters for grouped data. Communications in Stat. – Theory and Method. 34, (8) 1689–1710.
- TukeyJ. W. (1962). The future of data analysis. Ann. Math. Statist 33, 1–67.
Modeling and Fitting Quantile Distributions and Regressions
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