6533b823fe1ef96bd127ed0a
RESEARCH PRODUCT
Modelling the Frequency of Interarrival Times and Rainfall Depths with the Poisson Hurwitz-Lerch Zeta Distribution
Carmelo AgneseGiorgio BaiamonteElvira Di NardoStefano FerrarisTommaso Martinisubject
Statistics and ProbabilityHurwitz-Lerch Zeta distribution; log-concavity; compound poisson distribution; one inflated model; moment; simulated annealingHurwitz-Lerch zeta distributionSettore AGR/08 - Idraulica Agraria E Sistemazioni Idraulico-ForestaliStatistical and Nonlinear Physicssimulated annealinglog-concavityone inflated modelAnalysiscompound poisson distributionmomentdescription
The Poisson-stopped sum of the Hurwitz–Lerch zeta distribution is proposed as a model for interarrival times and rainfall depths. Theoretical properties and characterizations are investigated in comparison with other two models implemented to perform the same task: the Hurwitz–Lerch zeta distribution and the one inflated Hurwitz–Lerch zeta distribution. Within this framework, the capability of these three distributions to fit the main statistical features of rainfall time series was tested on a dataset never previously considered in the literature and chosen in order to represent very different climates from the rainfall characteristics point of view. The results address the Hurwitz–Lerch zeta distribution as a natural framework in rainfall modelling using the additional random convolution induced by the Poisson-stopped model as a further refinement. Indeed the Poisson contribution allows more flexibility and depiction in reproducing statistical features, even in the presence of very different climates.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2022-09-11 |