The right tail exponent of the Tracy-Widom-beta distribution [PDF]
The Tracy-Widom beta distribution is the large dimensional limit of the top eigenvalue of beta random matrix ensembles. We use the stochastic Airy operator representation to show that as a tends to infinity the tail of the Tracy Widom distribution ...
Dumaz, Laure, Virág, Bálint
core +4 more sources
Parametrizing the exoplanet eccentricity distribution with the Beta distribution [PDF]
Abstract It is suggested that the distribution of orbital eccentricities for extrasolar planets is well described by the Beta distribution. Several properties of the Beta distribution make it a powerful tool for this purpose. For example, the Beta distribution can reproduce a diverse range of probability density functions (PDFs) using ...
D. Kipping
arxiv +6 more sources
A New 3-Parameter Bounded Beta Distribution: Properties, Estimation, and Applications
This study presents a new three-parameter beta distribution defined on the unit interval, which can have increasing, decreasing, left-skewed, right-skewed, approximately symmetric, bathtub, and upside-down bathtub shaped densities, and increasing, U, and
Faiza A. Althubyani+3 more
doaj +2 more sources
Using the Beta distribution in group-based trajectory models. [PDF]
BackgroundWe demonstrate an application of Group-Based Trajectory Modeling (GBTM) based on the beta distribution. It is offered as an alternative to the normal distribution for modeling continuous longitudinal data that are poorly fit by the normal ...
Elmer J, Jones BL, Nagin DS.
europepmc +2 more sources
Neutrosophic Beta Distribution with Properties and Applications [PDF]
This research is an extension of classical statistics distribution theory as the theory did not deal with the problems having ambiguity, impreciseness, or indeterminacy.
Rehan Ahmad Khan Sherwani+5 more
doaj +2 more sources
Bernstein-type bounds for beta distribution [PDF]
This work obtains sharp closed-form exponential concentration inequalities of Bernstein type for the ubiquitous beta distribution, improving upon sub-Gaussian and sub-gamma bounds previously studied in this context.
Maciej Skorski
doaj +2 more sources
Beta Distribution-Based Cross-Entropy for Feature Selection [PDF]
Analysis of high-dimensional data is a challenge in machine learning and data mining. Feature selection plays an important role in dealing with high-dimensional data for improvement of predictive accuracy, as well as better interpretation of the data ...
Weixing Dai, Dianjing Guo
doaj +2 more sources
On the Noncentral Beta-Distribution [PDF]
A computing formula for the noncentral beta-distribution recently published by Nicholson is simplified. A table of figurate numbers is provided to facilitate the use of the simplified formula. It is compared for ease of use with the method of Tang in several situations.
J. L. Hodges
+6 more sources
Differential expression of peroxisome proliferator-activated receptors (PPARs): tissue distribution of PPAR-alpha, -beta, and -gamma in the adult rat. [PDF]
Peroxisome proliferator-activated receptors (PPARs) are members of the nuclear hormone receptor superfamily that can be activated by various xenobiotics and natural fatty acids.
Olivier Braissant+4 more
openalex +2 more sources
Probability Densities of the effective neutrino masses $m_{\beta }$ and $m_{\beta \beta}$ [PDF]
We compute the probability densities of the effective neutrino masses $m_{\beta }$ and $m_{\beta \beta}$ using the Kernel Density Estimate (KDE) approach applied to a distribution of points in the $(m_{\min}, m_{\beta\beta })$ and $(m_{\beta }, m_{\beta ...
Di Iura, Andrea, Meloni, Davide
core +3 more sources