Count Distribution for Generalized Weibull Duration with Applications

DOI10.1080/03610926.2015.1062105zbMath1335.60076OpenAlexW2479519825MaRDI QIDQ2796914

Yeh-Ching Low, Atanu Biswas, Seng Huat Ong, M. Shelton Peiris

Publication date: 30 March 2016

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2015.1062105

zbMATH Keywords

Laplace transformparameter estimationlikelihood ratio testpoint processPoisson distributionrenewal processesgamma distributionrenewal functionover-dispersionunder-dispersionbirth processesinter-arrival timesgeneralized Weibull distribution

Mathematics Subject Classification ID

Applications of statistics to actuarial sciences and financial mathematics (62P05) Point estimation (62F10) Exact distribution theory in statistics (62E15) Estimation in survival analysis and censored data (62N02) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Renewal theory (60K05)

Related Items (3)

The non-central negative binomial distribution: Further properties and applications ⋮ Count distribution for mixture of two exponentials as renewal process duration with applications ⋮ Computation of probabilities of mixed Poisson-Weibull distribution

Cites Work

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• On the Lagrangian Katz family of distributions as a claim frequency model
• Non nested model selection for spatial count regression models with application to health insurance
• A new generalization of the negative binomial distribution
• Weighted Poisson distributions for overdispersion and underdispersion situations
• The Weibull renewal function for moderate to large arguments
• The generalized Charlier series distribution as a distribution with two-step recursion
• Generalizations of Non Central Negative Binomial, Charlier Series Distributions, and Their Extensions by Lagrange Expansion
• Numerical Solutions of Renewal-Type Integral Equations
• Likelihood-based analysis of longitudinal count data using a generalized Poisson model
• A Discrete Charlier Series Distribution
• Extended Poisson Process Modelling and Analysis of Count Data
• Statistical Size Distributions in Economics and Actuarial Sciences
• Analysis of Long-Tailed Count Data by Poisson Mixtures
• Some Integrals of the products of laguerre polynomials
• General Multivariate Weibull Processes
• Capacity of a Single Spiking Neuron Channel
• Univariate Discrete Distributions
• Cumulative Frequency Functions

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