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<br />, <br /> <br />i' I.~ ".i ", b <br />VU.....V......1 <br /> <br />Now lets rank and sort the flows so we can plot them on the same set of axis. <br /> <br />CIl <br />U <br />C <br />III <br />" <br />CIl <br />CIl <br />~ <br />CIl cum_LP _"I (yy) <br />I <br />C <br />o <br />C obs_probj <br />.... <br />o . . . <br />~ <br />:g <br />III <br />.Q <br />o <br />.. <br />c. <br /> <br />[ f10Wj J <br />Yi :== In ft3 <br />sec <br /> <br />rank :== sort(Rank(y)) <br /> <br />ranked_flow :== sort(y) <br /> <br />ranki <br />obsJlrobj :== <br />max(rank) + 1 <br /> <br />Cumulative LP III Distribution <br /> <br /> .-- ~-. <br /> . <br /> , y ./ lo"" <br /> Y <br /> / <br /> 1/. <br /> ~ <br /> l' <br /> _,T <br /> IT <br />eI <br />~ <br /> <br />1 <br />0.9 <br />0.8 <br />0.7 <br />0.6 <br />0.5 <br />0.4 <br />0.3 <br />0.2 <br />0.1 <br /> <br />o 6 <br /> <br />9.6 <br /> <br />10 <br /> <br />6.4 <br /> <br />8.8 <br /> <br />9.2 <br /> <br />6.8 <br /> <br />7.2 <br /> <br />8 <br /> <br />8.4 <br /> <br />7.6 <br /> <br />. . . <br /> <br />yy, ranked_f1owj <br />In (flow rate) <br />Cumulative LP III Distribution <br />Empirical Distribution <br /> <br />The plot above suggests the data fit the distribution reasonably well. As pointed out previously we are <br />generally most interested in agreement for large and thus rare events since these control the design of flood <br />control structures. <br /> <br />log pearson type III example problem <br />bulletin 17.mcd <br />last save 11/14/2003/12:01 PM <br /> <br />40f5 <br /> <br />C:\MyFiles\Mathcad application areas <br />\Statistics\log Pearson Type III aka Gamma <br />distribution files\ <br />11/14/2003/12:07 PM <br />