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A Note on the Royle–Nichols Model for Repeated Detection–Nondetection Data
- Haines, Linda M.
- Journal of agricultural, biological, and environmental statistics 2016 v.21 no.3 pp. 588-598
- Poisson distribution, data collection, finite element analysis, models
- In this note, it is shown that the integrated likelihood for the Royle–Nichols model with a Poisson mixing distribution can be expressed as a finite rather than an infinite sum of terms. The advantages which so accrue are discussed and explored by means of two examples. The finite sum formulation of the likelihood is also shown to hold for negative binomial and zero-inflated mixing distributions. Results based on these two mixing distributions proved disappointing however and their use is not recommended unless extensive data are available.