In case of the lognormal distribution no discrete form for the theoretical distribution is known.
This can be important when the tails of the selected theoretical distribution are of practical significance.
In contrast, the theoretical distribution for H1 fits the observed value; thus, H1 is statistically accepted.
In this section we derive this theoretical distribution and compare it with results from simulations.
This theoretical distribution is supported by empirical evidence from urban China.
Figure 6 Comparison between empirical and theoretical distribution of (overline {Lambda }^{text {lr}}(mathbf {U})).
Large significance values (>0.05) indicate that the observed distribution corresponds to the theoretical distribution.
Wormplots highlight deviations from an assumed theoretical distribution more clearly than qqplots.
So, we firstly introduce a predefined theoretical distribution of landslide area, and then draw N values of area from the theoretical distribution using Monte Carlo simulation, where N is the sample size.
(14). Figure 8(a) shows the simulated distribution of single quiescent to active transitions compared with the theoretical distribution.
It was therefore not possible for us to determine a theoretical distribution of avalanche size and duration using this approach.
