Invertible Alternatives to Normal and Lognormal Distributions
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VIEW THE REPLYAuthors: Prabhata K. Swamee [email protected] and Pushpa N. Rathie [email protected]Author Affiliations
Publication: Journal of Hydrologic Engineering
Volume 12, Issue 2
Abstract
The normal and lognormal distributions are frequently used in hydrology. As these distributions are in the form of integrals, they cannot be used for generation of normal and lognormal random numbers using inverse transforms. In this study, functions closely approximating the normal and lognormal distributions have been obtained and their use in hydrological studies is indicated.
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References
Chow, V. T. (1954). “The log-probability law and its engineering applications.” Proc. Am. Soc. Civ. Eng., 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.
Swamee, P. K. (2002). “Near lognormal distribution.” J. Hydrol. Eng., 7(6), 441–444.
Yakowitz, S. J. (1977). Computational probability and simulation, Addison-Wesley, Reading, Mass.
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Published In
Journal of Hydrologic Engineering
Volume 12 • Issue 2 • March 2007
Pages: 218 - 221
Copyright
© 2007 ASCE.
History
Received: Apr 19, 2005
Accepted: Jun 7, 2006
Published online: Mar 1, 2007
Published in print: Mar 2007
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Affiliations
Emeritus Fellow, Dept. of Civil Engineering, Indian Institute of Technology Roorkee, Roorkee 247 667, India. E-mail: [email protected]
Professor of Statistics, Univ. of Brasilia, Brasilia 70910-900, Brazil. E-mail: [email protected]
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Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.