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Biometrika 1982 69(2):461-465; doi:10.1093/biomet/69.2.461
© 1982 by Biometrika Trust
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Systems of frequency curves generated by transformations of logistic variables

PANDU R. TADIKAMALLA1 and NORMAN L. JOHNSON2

1Graduate School of Business, University of Pittsburgh Pittsburgh, Pennsylvania, U.S.A.
2Department of Statistics, University of North Carolina Chapel Hill, North Carolina, U.S.A.

The log normal, SL, logit normal, SB, and the sinh–1 normal, SU, systems of frequency curves are obtained by three simple transformations of the normal curve. By applying the same transformations to the logistic distribution, systems LL, LB and LU are obtained. Some properties of these systems, and their relation to the S systems, are discussed.

Key Words: Curve-fitting • Estimation • Frequency curve • Logistic distribution • Transformation


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