Tweedie Distributions - Examples

Examples

The Tweedie distributions include a number of familiar distributions as well as some unusual ones, each being specified by the domain of the index parameter. We have the

  • normal distribution, p=0,
  • Poisson distribution, p=1,
  • compound Poisson–gamma distribution, 1,
  • gamma distribution, p=2,
  • positive stable distributions, 2,
  • inverse Gaussian distribution, p=3,
  • positive stable distributions, p>3, and
  • extreme stable distributions, p=.

For 0<p<1 no Tweedie model exists.

Read more about this topic:  Tweedie Distributions

Famous quotes containing the word examples:

    In the examples that I here bring in of what I have [read], heard, done or said, I have refrained from daring to alter even the smallest and most indifferent circumstances. My conscience falsifies not an iota; for my knowledge I cannot answer.
    Michel de Montaigne (1533–1592)

    Histories are more full of examples of the fidelity of dogs than of friends.
    Alexander Pope (1688–1744)

    It is hardly to be believed how spiritual reflections when mixed with a little physics can hold people’s attention and give them a livelier idea of God than do the often ill-applied examples of his wrath.
    —G.C. (Georg Christoph)