A Note on the Royle–Nichols Model for Repeated Detection–Nondetection Data

详细信息    查看全文

• 作者：Linda M. Haines
• 关键词：Poisson ; Negative binomial ; Zero ; inflated ; Bootstraps
• 刊名：Journal of Agricultural, Biological, and Environmental Statistics
• 出版年：2016
• 出版时间：September 2016
• 年：2016
• 卷：21
• 期：3
• 页码：588-598
• 全文大小：858 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Statistics
  Agriculture
  Statistics for Life Sciences, Medicine and Health Sciences
  Biostatistics
  Monitoring/Environmental Analysis
  
• 出版者：Springer New York
• ISSN：1537-2693
• 卷排序：21

文摘

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.