The Poisson-stopped Hurwitz–Lerch zeta distribution

Liew, Kian Wah; Ong, S. H.; Toh, Kian Kok

doi:10.1080/03610926.2020.1844238

Cited by 2 publications

(3 citation statements)

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“…In the following we analyse in detail the properties of the PSHLZD using the complete exponential Bell polynomials. Some of the properties given in [6] will also be briefly recalled.…”

Section: The Poisson-stopped Hurwitz-lerch Zeta Distribution Definitionmentioning

confidence: 99%

“…using the Poisson-stopped HLZD (PSHLZD). This discrete distribution presents excess zeroes (paralleling the excess of IT = 1) and a long tail [6]. The PSHLZD has been used in [6] for comparisons with the negative binomial distribution, a popular model for fitting over-dispersed data.…”

Section: Introductionmentioning

confidence: 99%

“…This discrete distribution presents excess zeroes (paralleling the excess of IT = 1) and a long tail [6]. The PSHLZD has been used in [6] for comparisons with the negative binomial distribution, a popular model for fitting over-dispersed data. Indeed the PSHLZD can be seen both as a Poisson-stopped sum of HLZD's as well as a generalization of a negative binomial distribution.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Modelling the Frequency of Interarrival Times and Rainfall Depths with the Poisson Hurwitz-Lerch Zeta Distribution

et al. 2022

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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.

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“…In the following we analyse in detail the properties of the PSHLZD using the complete exponential Bell polynomials. Some of the properties given in [6] will also be briefly recalled.…”

Section: The Poisson-stopped Hurwitz-lerch Zeta Distribution Definitionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%