Resumen
The shape of the likelihood function is often considered as one of the underlying causes of strange or counterintuitive estimation results. However, strange likelihood shapes may be a symptom of inferential issues related with the nature of the model and experimental data. In the cases discussed here, binomial flat likelihoods are related not only to sample size, but also to an embedded Poisson model problem. It is essential to understand the shapes of the likelihood function in order for being able to legitimately criticize likelihood inferences. This is particularly important since the likelihood function is a key ingredient in many inferential methods.
Título traducido de la contribución | FLAT LIKELIHOODS: BINOMIAL CASE |
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Idioma original | Español |
Páginas (desde-hasta) | 8-24 |
Número de páginas | 17 |
Publicación | Revista de la Facultad de Ciencias |
Volumen | 11 |
N.º | 2 |
DOI | |
Estado | Publicada - jul 2022 |
Nota bibliográfica
Publisher Copyright:© 2022 American Mathematical Society.
Palabras clave
- Flat likelihood
- Poisson distribution
- embedded model
- likelihood contours
- profile likelihood function
- threshold parameter