TECHNICAL NOTES
Oct 15, 2002

Near Lognormal Distribution

Publication: Journal of Hydrologic Engineering
Volume 7, Issue 6

Abstract

The lognormal distribution is frequently used in hydrological studies. However, the distribution is in the form of an integral that cannot be expressed in the form of elementary functions. Thus, the lognormal distribution cannot be used for analytical purposes such as the application of the inverse transform method for generation of a sequence of lognormally distributed random numbers. In this study, a function that closely approximates the lognormal distribution is presented and its use demonstrated in hydrological studies.

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References

Chow, V. T.(1954). “The log-probability law and its engineering applications.” Proc., ASCE, ASCE, New York, 80, 1–25.
Chow, V. T. (1964). “Statistical and probability analysis of hydrologic data.” Handbook of applied hydrology, V. T. Chow, ed., McGraw-Hill, New York, 8.1–8.42.
David, H. A.(1995). “First(?) occurrence of common terms in mathematical statistics.” Am. Stat., 49(2), 121–133.
Folks, J. L. (1981). Ideas of statistics, Wiley, New York.
Gradshteyn, I. S., and Ryzhik, I. M. (1965). Tables of integrals, series, and products, 4th Ed., Y. V. Geronimus and M. Y. Tseytlin, translators, A. Jeffrey, ed., Academic, New York.
Johnson, N. L., and Kotz, S. (1970). Continuous univariate distributions—2, Wiley, New York.
Yakowitz, S. J. (1977). Computational probability and simulation, Addison-Wesley, Reading, Mass.

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Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 7Issue 6November 2002
Pages: 441 - 444

History

Received: Jun 5, 2001
Accepted: Apr 23, 2002
Published online: Oct 15, 2002
Published in print: Nov 2002

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Authors

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Prabhata K. Swamee
Emeritus Fellow, Dept. of Civil Engineering, Indian Institute of Technology, Roorkee, Roorkee 247 667, India.

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