Some “strange” Probability Distributions
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Beschreibung
The subsequent paper explores some “special” theoretical univariate continuous probability distribution types.
The subsequent paper explores some “special” theoretical univariate continuous probability distribution types.
“Special” or ‘strange’ in the sense that not all statistical moments (such as means, variances, skewness and kurtosis) of the distributions to be analyzed are finite or defined, partly depending on their parameter ranges.
In particular, the following distributions will be discussed in greater detail:
1.Cauchy Distribution
2.Stable (Levy Alpha-Stable) Distribution (α < 2)
3.Pareto Distribution (Type II)
4.Lévy Distribution
5.Student's t-Distribution (df ≤ 2)
6.Gamma Distribution (α ≤ 1)
7.Weibull Distribution (Shape ≤ 1)
8.Fréchet Distribution
9.Power Law Distribution
Autor*in
Johann Markus Schauerhuber
During his studies and academic resp. professional activities Prof. Dr. Dr. Johann Markus Schauerhuber has been intensively involved in statistical programming, stochastic, risk theory, simulation and mathematical modeling.
Most of his professional experience has been gained in the university domain as an academic director, postdoc lecturer / researcher and in government authorities.
Email: jm_schauerhuber@gmx.at
Themen in »Some “strange” Probability Distributions«
Cauchy Stable Pareto Lévy Gamma Weibull Fréchet