Reliability analysis for sluice gate anti-sliding stability using Lvy stable distributions
We develop a method to analysis reliability of sluice gate anti-sliding stability. The distributions of the key factors can be well fitted by Lvy stable distributions. The time scales of water level signal are detected by detrended fluctuation analysis. The tail distribution of water level signal follows asymptotic power law decay. The increment process of water level is depicted by linear fractional stable noise.
dfa detrended fluctuation analysis fgn fractional gaussian noise lfsn linear fractional stable noise lfsm linear fractional stable motion cms chambers mallows and stuck i.i.d. independent identically distributed ecd empirical cumulative distribution k-s kolmogorovsmirnov pp percentilepercentile etcd empirical tail cumulative distribution