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<br />. <br /> <br />, <br /> <br />I' <br /> <br />. <br /> <br />. <br /> <br />FREQUENCY CURVES <br /> <br />precisely. Another type of frequency curve is <br />prepared merely to describe the distribution <br />of events by size; probability does not enter <br />into the problem because the distribution of <br />future events is not of interest. A well-known <br />curve of this type is one showing the distribu- <br />tion of particle sizes of a soil or sediment sample. <br /> <br />References Cited <br /> <br />Beard, L. R., 1943, Statistical analysis in hydrology: <br />Am. Soc. Civil Engineers Trans., v. 108, p. 1110- <br />1121. <br />- 1962, Statistical methods in hydrology: U.S. <br />Army Engineer District, Corps Engineers, Sacra- <br />mento, Calif. <br />-191':4, Estimating long.termstorage requirements <br />and firm yield of rivers: Internat. Assoc. Sci. Hy- <br />drology, General Assembly of Berkeley, Pub. 63, <br />p. 151-166. <br />Benson, M. A., 1960, Characteristics of frequency <br />curves based on a theoretical I,ODO-year record, <br />in Dalrymple, Tate, Flood frequency analyses: <br />U.S. Geol. Survey Water-Supply Paper 1543-A, <br />80 p. <br />- 1962&, Factors influencing the occurrence of <br />floods in a humid region of diverse terrain: U.S. <br />Geol. Survey Water-Supply Paper 158G-B, 64 p. <br />- 1962b, Plotting positions and economics of <br />engineering planning: Am. Soc. Civil Engineers <br />Proc., v. 88 HY 6 p. 57-71, Paper 3317. <br />Chow, V. T., 1954, The log-probability law and its <br />engineering applications: Am. Soc. Civil Engineers <br />Proc., v. 80, separate 536, p. 9. <br />- 1964, Frequency analysis, in Chow, V. T., <br />Handbook of applied hydrology: New York, <br />McGraw-Hill Book Co., p. 8-17, <br />Dalrymple, Tate, 1960, Flood-frequency analyses: U.S. <br />Geol. Survey Water-Supply Paper 1543-A, 80 p. <br />Dixon, W. J., and Massey, F. J. 1957, Introduction <br />to statistical analysis, 2d 00.: New York, McGraw- <br />Hill Book Co. <br />Gumbel, E. J., 1941, The return period of flood flows: <br />Annals Math. Statistics v. 12, no. 2, p. 163-190. <br />- 1954a Statistical theory of extreme values and <br />Bome practical applications: U.S. Dept. Commerce, <br /> <br />15 <br /> <br />Natl. Bur. Standards Applied Mathematics Series <br />33. p. 12. <br />Gumbel, E. J., 1954b, Statistieal theory of droughts: Am. <br />Soc. Civil Engineers Proc. V., 80, separate 439, 19 p. <br />-1958, Statistics of extremes: New York, Oolum. <br />bia Univ. Press, 375 p. <br />Hazen, Allen, 1930, Flood flows, a study of frequencies <br />and magnitudes: New York, John Wiley & Sons, <br />Inc. <br />Lane, E. W., and Lei, Kai, 1950, Stream flow varia,. <br />bility: Am. Soc. Civil Engineers Trans. v. 115, <br />p. 1084-1098. <br />Langbein, W. B., 1960, Plotting positions in frequency <br />analysis, in Dalrymple, Tate, Flood frequency <br />analysis: U.S. Geol. Survey Water-Supply Paper <br />1543-A, p. 48-51. <br />Matalas, N. C., 1963, Probability distribution of low <br />fiows: U.S. Geol. Survey Prof. Paper 434-A, 27 p. <br />Mood, A. M., 1950, Introduction to the theory of <br />statistics: New York, McGraw-Hill Book Co., Inc. <br />Powell, R. W., 1943, A simple method of estimating <br />flood frequencies: Civil Eng., v. 13, no. 2, p. 105- <br />106. <br />Riggs. H. C., 1953, A method of forecasting low flow <br />of streams: Am. Geophys. Union Trans., v. 34, <br />no. 3, p. 427-434. <br />- 1961, Frequency of natural events: Am. Soc. <br />Civil Engineers Proc., v. 87, no. HYl, p. 15-26. <br />- 1965, Estimating probability distributions of <br />drought flows: Water and Sewage Works, v. 112, <br />no. 5, p. 153-157. <br />- 1967J Some statistical tools in hydrology: U.S. <br />Geol. Survey Tech. Water-Resources Inv'l book 4, <br />chap. Al (in press). <br />Riggs, H. C., and Thomasj D. M.. 1965, Discussion <br />of "Mathematical model for flood risk evaluation," <br />by Richard M. Shane and Walter R. Lynn: Am. <br />Soc. Civil Engineers Proc., v. 91, no. HY5, p. 190- <br />192. <br />Searcy, J. K., 1959J Flow-dura.tion curves: U.S. Geol. <br />8urvey Water Supply Paper 1542-A, 33 p. <br />Stall, J. B., 1964, Low flows of Dlinois streams for <br />impounding reservoir design: llIinois Sta.te Water <br />Survey Bull. 51, 395 p. <br />Stall, J. B., and Neill, J. C., 1961, A partial duration <br />series for low flow analyses: Jour. Geophys. <br />Research, v. 66, p. 4219-4225. <br /> <br />..u. s. GOVERNMENT PRINTING OFFlCE : 1969 0 - 3:>3-230 <br />