66 citations · 230 across the 21 of their papers we have counts for
21 papers
Metastatistics of Extreme Values and its Application in Hydrology
Massimiliano Ignaccolo, Marco Marani
We present a novel statistical treatment, the "metastatistics of extreme events", for calculating the frequency of extreme events. This approach, which is of general validity, is t…
Phase space parametrization of rain: the inadequacy of the gamma distribution
Massimiliano Ignaccolo, Carlo De Michele
We show that the Gamma distribution is not an adequate fit for the probability density function of drop diameters using the Kolmogorov-Smirnov goodness of fit test. We propose a di…
Time and ensemble averaging in time series analysis
Miroslaw Latka, Massimiliano Ignaccolo, Wojciech Jernajczyk +1
In many applications expectation values are calculated by partitioning a single experimental time series into an ensemble of data segments of equal length. Such single trajectory e…
Probability flux as a method for detecting scaling
M. Ignaccolo, P. Grigolini, B. J. West
We introduce a new method for detecting scaling in time series. The method uses the properties of the probability flux for stochastic self-affine processes and is called the probab…
The Failure of the Ergodic Assumption
M. Ignaccolo, M. Latka, B. J. West
The well established procedure of constructing phenomenological ensemble from a single long time series is investigated. It is determined that a time series generated by a simple U…
A non arbitrary definition of rain event: the case of stratiform rain
Massimiliano Ignaccolo, Carlo De Michele
A long standing issue in Hydrology is the arbitrariness of the rain "event" definition. In this manuscript, we show that 1) the event definition resting on the occurrence of a mini…