The following continuous probability distributions have a shape parameter:
- Beta distribution
- Burr distribution
- Erlang distribution
- ExGaussian distribution
- Exponential power distribution
- Gamma distribution
- Generalized extreme value distribution
- Log-logistic distribution
- Inverse-gamma distribution
- Pareto distribution
- Pearson distribution
- Skew normal distribution
- Lognormal distribution
- Student's t-distribution
- Tukey lambda distribution
- Weibull distribution
By contrast, the following continuous distributions do not have a shape parameter, so their shape is fixed and only their location or their scale or both can change. It follows that (where they exist) the skewness and kurtosis of these distribution are constants, as skewness and kurtosis are independent of location and scale parameters.
- Exponential distribution
- Cauchy distribution
- Logistic distribution
- Normal distribution
- Raised cosine distribution
- Uniform distribution
- Wigner semicircle distribution
Read more about this topic: Shape Parameter
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Famous quotes containing the word examples:
“Histories are more full of examples of the fidelity of dogs than of friends.”
—Alexander Pope (16881744)
“It is hardly to be believed how spiritual reflections when mixed with a little physics can hold peoples attention and give them a livelier idea of God than do the often ill-applied examples of his wrath.”
—G.C. (Georg Christoph)
“There are many examples of women that have excelled in learning, and even in war, but this is no reason we should bring em all up to Latin and Greek or else military discipline, instead of needle-work and housewifry.”
—Bernard Mandeville (16701733)