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Many probability distributions have been developed to model the annual maximum rainfall series (AMS).
Phien and Ajirajah (1984) assessed the log-Pearson III distribution to the flood and maximum rainfall series.
A case study is carried out using annual maximum rainfall series (AMS) from a network of 10 rain gauges in Quebec Canadaa).
In the study, a homogeneous region was defined as the region in which all annual maximum rainfall series at different sites must have similar properties of rainfall occurrence within a given concurrent time period.
The results of the goodness-of-fit tests indicate that log-Pearson type III method is the overall best-fit probability distribution for 1-day maximum rainfall and consecutive 2-, 3-, 4-, 5- and 6-day maximum rainfall series of Tiruchirapalli.
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Table 2 Summary of trend analysis of maximum hourly rainfall series using Mann-Kendall test No Station Trend value p-value 1 Jeju 1.67 0.01 2 Ara 1.28 0.02 3 Eorimok 3.40 0.02 4 Jindallaebat −0.47 0.04 5 Witsaeorum −0.16 0.03 Fig. 3 a Autocorrelation function (ACF) plot of Jeju, Ara and Eorimok station.
The ACF values show that each station's rainfall values are below the critical bounds (ACF = 0.4), thus the maximum consecutive hour rainfall series can be considered as time-independent.
Monthly mean and daily maximum rainfall and flow data series are stochastically replicated.
To generate annual maximum series, rainfall data aggregation followed by determination of a suitable probability distribution function for annual maximum rainfall was performed.
Katrina's maximum rainfall was also slightly to the west.
The mean annual precipitation is 25 inches (635 mm), with maximum rainfall in June and July.
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