To see how the multivariate Tweedie distribution arises form a thinned and double-marked Poisson point process for predator foraging, please see Thorson et al. (2022).

Thorson JT, Arimitsu ML, Levi T, Roffler G (2022). “Diet analysis using generalized linear models derived from foraging processes using R package mvtweedie.” Ecology, 103(5), e3637. doi:10.1002/ecy.3637, https://doi.org/10.1002/ecy.3637.

Corresponding BibTeX entry:

  @Article{,
    title = {Diet analysis using generalized linear models derived from
      foraging processes using R package mvtweedie},
    journal = {Ecology},
    volume = {103},
    number = {5},
    pages = {e3637},
    year = {2022},
    doi = {10.1002/ecy.3637},
    url = {https://doi.org/10.1002/ecy.3637},
    author = {J. T. Thorson and Mayumi L. Arimitsu and Taal Levi and
      Gretchen Roffler},
  }