Timeline for Process for a Gamma distribution with non integer shape parameter
Current License: CC BY-SA 2.5
3 events
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| Sep 15, 2010 at 15:30 | comment | added | fedja | There is a severe problem with any stationary mass accumulation model with independent increments. Since the density tends to infinity at $0$, we get that the probability $p(t)$ to get the critical mass over every interval of small length $t>0$ is much bigger than $t$. But then the probability not to get it over any positive time $T$ is at most $(1-p(t))^{T/t}\to 0$ as $t\to 0$. This doesn't mean that no rainfall model is possible, just that it has to have a feature that big rains can occur but they should exhaust the water supply and make the subsequent rains small with high probability. | |
| Sep 15, 2010 at 15:03 | history | edited | Pietro Majer | CC BY-SA 2.5 |
added 6 characters in body; added 5 characters in body
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| Sep 15, 2010 at 14:10 | history | answered | Pietro Majer | CC BY-SA 2.5 |