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Modelling the abundance of rare species: statistical models for counts with extra zeros

- A. Welsh, R. Cunningham, C. Donnelly, D. Lindenmayer
- Biology
- 1 July 1996

We consider several statistical models for the analysis of the abundance of a rare species and these are illustrated in detail with data for the abundance of Leadbeater's Possum in montane ash… Expand

Generalized additive modelling and zero inflated count data

- S. C. Barry, A. Welsh
- Biology
- 30 November 2002

This paper describes a flexible method for modelling zero inflated count data which are typically found when trying to model and predict species distributions. Zero inflated data are defined as data… Expand

Testing for exponential and Marshall-Olkin distributions

Abstract Statistical tests for testing composite goodness-of-fit hypotheses on the exponential and bivariate Marshall-Olkin exponential distribution are proposed and investigated. The tests are based… Expand

Model Selection in Linear Mixed Models

Linear mixed effects models are highly flexible in handling a broad range of data types and are therefore widely used in applications. A key part in the analysis of data is model selection, which… Expand

Bootstrapping clustered data

Various bootstraps have been proposed for bootstrapping clustered data from one-way arrays. The simulation results in the literature suggest that some of these methods work quite well in practice;… Expand

Robust Restricted Maximum Likelihood in Mixed Linear Models

- A. Richardson, A. Welsh
- Mathematics
- 1 December 1995

SUMMARY Definitions of robust maximum likelihood (robust ML) and robust restricted maximum likelihood (robust REML) are introduced, and the definitions are applied to data from biological and… Expand

Nonparametric Function Estimation of the Relationship between two Repeatedly Measured Variables

- A. Ruckstuhl, A. Welsh, R. Carroll
- Mathematics
- 13 January 1997

We describe methods for estimating the regression function nonparametrically and for estimating the variance components in a simple variance component model which is sometimes used for repeated… Expand

Local Estimating Equations

- R. Carroll, D. Ruppert, A. Welsh
- Mathematics
- 1 March 1998

Abstract Estimating equations have found wide popularity recently in parametric problems, yielding consistent estimators with asymptotically valid inferences obtained via the sandwich formula.… Expand

13 Approaches to the robust estimation of mixed models

- A. Welsh, A. Richardson
- Mathematics
- 1997

Publisher Summary This chapter discusses various approaches for the robust estimation of mixed models. It summarizes estimation based on maximising the Gaussian likelihood and discusses estimation… Expand