Distributions to model overdispersed count data

S Coly, AF Yao, D Abrial… - Journal de la Société …, 2016 - numdam.org
In the early twentieth century, only a few count distributions (binomial and Poisson
distributions) were commonly used in modeling. These distributions fail to model bimodal or …

Identifying traffic accident black spots with Poisson-Tweedie models

B Debrabant, U Halekoh, WH Bonat, DL Hansen… - Accident Analysis & …, 2018 - Elsevier
This paper aims at the identification of black spots for traffic accidents, ie locations with
accident counts beyond what is usual for similar locations, using spatially and temporally …

Asymptotic Scaling of Optimal Cost and Asymptotic Optimality of Base-Stock Policy in Several Multidimensional Inventory Systems

J Bu, X Gong, X Chao - Operations research, 2024 - pubsonline.informs.org
We consider three classes of inventory systems under long-run average cost:(i) periodic-
review systems with lost sales, positive lead times, and a nonstationary demand process;(ii) …

[PDF][PDF] Inference for the Weibull distribution based on fuzzy data

A Pak, GA Parham, M Saraj - Revista Colombiana de Estadistica, 2013 - redalyc.org
Classical estimation procedures for the parameters of Weibull distribution are based on
precise data. It is usually assumed that observed data are precise real numbers. However …

Application of the Poisson-Tweedie distribution in analyzing crash frequency data

D Saha, P Alluri, E Dumbaugh, A Gan - Accident Analysis & Prevention, 2020 - Elsevier
This paper describes a study that applies the Poisson-Tweedie distribution in developing
crash frequency models. The Poisson-Tweedie distribution offers a unified framework to …

Infinitely divisible distributions in integer‐valued GARCH models

E Gonçalves, N Mendes‐Lopes… - Journal of Time Series …, 2015 - Wiley Online Library
We propose an integer‐valued stochastic process with conditional marginal distribution
belonging to the class of infinitely divisible discrete probability laws. With this proposal, we …

Fishnet model with order statistics for tail probability of failure of nacreous biomimetic materials with softening interlaminar links

W Luo, ZP Bažant - Journal of the Mechanics and Physics of Solids, 2018 - Elsevier
The staggered (or imbricated) lamellar “brick-and-mortar” nanostructure of nacre endows
nacre with strength and fracture toughness values exceeding by an order of magnitude …

Compound truncated Poisson gamma distribution for understanding multimodal SAR intensities

ADC Nascimento, LC Rêgo… - Journal of Applied Statistics, 2023 - Taylor & Francis
In recent years, many works have addressed the proposal of new probability models by
theoretic and applied reasons. Specifically, mixture models have been indicated to describe …

Survival functions for the frailty models based on the discrete compound Poisson process

N Ata, G Özel - Journal of Statistical Computation and Simulation, 2013 - Taylor & Francis
Frailty models are often used to model heterogeneity in survival analysis. The distribution of
the frailty is generally assumed to be continuous. In some circumstances, it is appropriate to …

Geometric Poisson distribution of photons produced in the ultrarelativistic hadronic collisions

RR Nair, G Wilk, Z Włodarczyk - The European Physical Journal A, 2023 - Springer
We show that the multiplicity distribution of photons produced with enhanced void probability
in inelastic proton-proton collisions at s= 900 GeV, 2.76 TeV, and 7 TeV, measured at …