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In probability and statistics, the Kumaraswamy's double bounded distribution is a family of continuous probability distributions defined on the interval (0,1). It is similar to the beta distribution, but much simpler to use especially in simulation studies since its probability density function, cumulative distribution function and quantile functions can be expressed in closed form.
The Kumaraswamy distribution is as versatile as the Beta distribution but has simple closed forms for both the cdf and the pdf. The logit metalog distribution, which is highly shape-flexible, has simple closed forms, and can be parameterized with data using linear least squares.
It serves as an alternative to the beta and Kumaraswamy distributions for modeling double-bounded random variables. The MK distribution was originally proposed by Sagrillo, Guerra, and Bayer [1] through a transformation of the Kumaraswamy distribution. Its density exhibits an increasing-decreasing-increasing shape, which is not characteristic ...
Project Gutenberg (PG) is a volunteer effort to digitize and archive cultural works, as well as to "encourage the creation and distribution of eBooks." [2] It was founded in 1971 by American writer Michael S. Hart and is the oldest digital library. [3] Most of the items in its collection are the full texts of books or individual stories in the ...
Kumaraswamy or Kumaraswami is an Indian male given name. It may also refer to: Murugan, also called Kumaraswami or Kartikeya, the Hindu god of war; Kumaraswamy distribution, a distribution form related to probability theory and statistics; Kumaraswamy Layout, a residential locality in southern Bangalore, India
Generalized extreme value distribution; Generalized gamma distribution; Generalized integer gamma distribution; Generalized inverse Gaussian distribution; Generalized logistic distribution; Generalized multivariate log-gamma distribution; Generalized normal distribution; Generalized Pareto distribution; Geometric stable distribution; Gompertz ...
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The beta rectangular distribution has been compared to the elevated two-sided power distribution in fitting U.S. income data. [4] The 5-parameter elevated two-sided power distribution was found to have a better fit for some subpopulations, while the 3-parameter beta rectangular was found to have a better fit for other subpopulations.