The poisson-inverse gaussian disiribuiion as a model for species abundance

DOI10.1080/03610928608829156zbMath0603.62113OpenAlexW2170730319MaRDI QIDQ3740100

J. Keith Ord, George A. Whitmore

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1080/03610928608829156

zbMATH Keywords

species abundancemaximum likelihood methodsMinimum chi-squareinverse Gaussian mixture of Poisson distributions

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Point estimation (62F10)

Related Items (17)

On Strict Arcsine Distribution ⋮ Analysis of discrete data by Conway-Maxwell Poisson distribution ⋮ A robust property of pseudo-likelihood estimation for count data ⋮ A note on density estimation for Poisson mixtures ⋮ Extended truncated Tweedie-Poisson model ⋮ A note on the mixed poisson formulation of the poisson-inverse gaussian distribution ⋮ On recovering a mixed Poisson distribution from its left-truncated version ⋮ Model for comparative analysis of antigen receptor repertoires ⋮ Analysis of Long-Tailed Count Data by Poisson Mixtures ⋮ General mixed Poisson regression models with varying dispersion ⋮ On zero-truncating and mixing Poisson distributions ⋮ Estimating the Number of Species in a Stochastic Abundance Model ⋮ Extended truncated Inverse Gaussian–Poisson model ⋮ Poisson-mixed Inverse Gaussian Regression Model and Its Application ⋮ A mixed poisson–inverse‐gaussian regression model ⋮ Flexible and Robust Mixed Poisson INGARCH Models ⋮ Tuning parameter selection for a penalized estimator of species richness

Cites Work

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• Estimates of parameters of truncated inverse Gaussian distribution
• On a Poisson-inverse Gaussian distribution
• A regression method for censored inverse-Gaussian data
• Computation of the poisson-inverse gaussian distribution
• Comments on Two Different Approaches to the Analysis of Species Frequency Data
• A Normalizing Logarithmic Transformation for Inverse Gaussian Random Variables
• Stochastic Abundance Models in Ecology
• On Fitting the Poisson Lognormal Distribution to Species-Abundance Data

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