Results 21 to 30 of about 454 (77)

On the noncentral distribution of the ratio of the extreme roots of wishart matrix

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 4, Issue 1, Page 147-154, 1981., 1981
The distribution of the ratio of the extreme latent roots of the Wishart matrix is useful in testing the sphericity hypothesis for a multivariate normal population. Let X be a p × n matrix whose columns are distributed independently as multivariate normal with zero mean vector and covariance matrix ∑.
V. B. Waikar
wiley   +1 more source

Generalization of Log‐Xgamma Distribution: Applications and R Shiny Web‐Tool

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
The two‐parameter xgamma distribution is employed to create a novel distribution that is suitable for bounded datasets within the interval (0, 1). A comprehensive analysis of the statistical properties of this newly proposed distribution is conducted.
Emrah Altun, Hana N. Alqifari, Jun Ye
wiley   +1 more source

Median‐Based Unit Weibull (MBUW): A New Variants of Generalized Method of Moments and Percentile Estimators

open access: yesJournal of Probability and Statistics, Volume 2025, Issue 1, 2025.
This paper introduces a new two‐parameter unit Weibull distribution defined on the interval (0, 1). It discusses the methodology for deriving its probability density function (PDF), explores various properties, and presents related functions. Numerous figures illustrate the distribution and demonstrate its effectiveness in fitting a wide range of ...
Iman M. Attia, Hyungjun Cho
wiley   +1 more source

Uniform Random Sample and Symmetric Beta Distribution [PDF]

open access: yes, 2013
N.L. Johnson and S. Kotz introduced in 1990 an interesting family of symmetric distributions which is based on randomly weighted average from uniform random samples.
Homei, Hazhir
core  

Estimation and Prediction Under Different Schemes for a Flexible Symmetric Distribution With Applications

open access: yesJournal of Mathematics, Volume 2024, Issue 1, 2024.
This paper introduces a new probability distribution called the mixture symmetric gamma (MSG) distribution, which is defined as a mixture of two symmetric gamma distributions. Its statistical properties and applications are explored. We first examine its mathematical properties, including the possible shapes of the corresponding probability density ...
Christophe Chesneau   +4 more
wiley   +1 more source

A new two-parameter over-dispersed discrete distribution with mathematical properties, estimation, regression model and applications

open access: yesHeliyon
This paper focuses on the derivation of a new two-parameter discrete probability distribution. The new model is derived by mixing Poisson and Loai distributions and is named “Poisson Loai Distribution”.
Abdullah Ali H. Ahmadini   +2 more
doaj   +1 more source

Shape theory via polar decomposition [PDF]

open access: yes, 2010
This work proposes a new model in the context of statistical theory of shape, based on the polar decomposition. The non isotropic noncentral elliptical shape distributions via polar decomposition is derived in the context of zonal polynomials, avoiding ...
Agraria Antonio Narro   +2 more
core  

New Classes of Univariate Continuous Exponential Power Series Distributions [PDF]

open access: yes, 2016
Recently, many researchers have developed various classes of continuous probability distributions which can be generated via the generalized Pearson differential equation and other techniques.
Ahsanullah, M.   +4 more
core   +1 more source

On Wishart distribution [PDF]

open access: yes, 2010
This paper proposes a unified approach that enables the Wishart distribution to be studied simultaneously in the real, complex, quaternion and octonion cases.
Diaz-Garcia, Jose A.   +1 more
core  

Smoothing-inspired lack-of-fit tests based on ranks

open access: yes, 2008
A rank-based test of the null hypothesis that a regressor has no effect on a response variable is proposed and analyzed. This test is identical in structure to the order selection test but with the raw data replaced by ranks. The test is nonparametric in
Hart, Jeffrey D.
core   +1 more source

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