The annual peak flow data were recorded between 1980 and 2021 at a particular section of a river. Annual peak flows have been transformed into log values and the following statistics are obtained. Mean of log transformed peak annual flows = 3.525 Standard deviation of log transformed peak annual flows = 0.178 Skewness of log transformed peak annual flows = -0.235 a. Estimate the 2% AEP peak discharge by assuming that the annual peak flow data follows Log-Pearson type III distribution. b. Estimate the 2% AEP peak discharge by assuming the peak flow data are lognormally distributed. c. Compare the peak discharge obtained from two methods (i.e. Log-Pearson type III distribution and Lognormal distribution).

Structural Analysis
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Chapter2: Loads On Structures
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The annual peak flow data were recorded between 1980 and 2021 at a particular section of a river. Annual peak flows have been transformed into log values and the following statistics are obtained.
Mean of log transformed peak annual flows = 3.525
Standard deviation of log transformed peak annual flows = 0.178
Skewness of log transformed peak annual flows = -0.235
a. Estimate the 2% AEP peak discharge by assuming that the annual peak flow data follows Log-Pearson type III distribution.
b. Estimate the 2% AEP peak discharge by assuming the peak flow data are lognormally distributed.
c. Compare the peak discharge obtained from two methods (l.e. Log-Pearson type III distribution and Lognormal distribution).
Transcribed Image Text:The annual peak flow data were recorded between 1980 and 2021 at a particular section of a river. Annual peak flows have been transformed into log values and the following statistics are obtained. Mean of log transformed peak annual flows = 3.525 Standard deviation of log transformed peak annual flows = 0.178 Skewness of log transformed peak annual flows = -0.235 a. Estimate the 2% AEP peak discharge by assuming that the annual peak flow data follows Log-Pearson type III distribution. b. Estimate the 2% AEP peak discharge by assuming the peak flow data are lognormally distributed. c. Compare the peak discharge obtained from two methods (l.e. Log-Pearson type III distribution and Lognormal distribution).
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