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Generating Augmented Quaternion Random Variable With Generalized Gaussian Distribution

open access: yesIEEE Access, 2018
There is a need to generate quaternion valued processes with a given distribution ranging from super-Gaussian, Gaussian to sub-Gaussian with different degrees of properness for numerous practical applications, such as modeling the signal source, testing ...
Robert Krupinski
doaj   +2 more sources

Generalized Gaussian Distribution Improved Permutation Entropy: A New Measure for Complex Time Series Analysis [PDF]

open access: yesEntropy
To enhance the performance of entropy algorithms in analyzing complex time series, generalized Gaussian distribution improved permutation entropy (GGDIPE) and its multiscale variant (MGGDIPE) are proposed in this paper.
Kun Zheng   +4 more
doaj   +2 more sources

Enhancing Robustness of Variational Data Assimilation in Chaotic Systems: An α-4DVar Framework with Rényi Entropy and α-Generalized Gaussian Distributions [PDF]

open access: yesEntropy
Traditional 4-dimensional variational data assimilation methods have limitations due to the Gaussian distribution assumption of observation errors, and the gradient of the objective functional is vulnerable to observation noise and outliers.
Yuchen Luo   +4 more
doaj   +2 more sources

Generalized Sichel Distribution and Associated Inference [PDF]

open access: yesJournal of Statistical Theory and Applications (JSTA), 2017
In this paper, we propose a generalized form of Sichel distribution which is obtained by mixing the Poisson distribution with the extended generalized inverse Gaussian distribution.
Yeh Ching Low   +2 more
doaj   +1 more source

Discrimination between Some Over Dispersed Count Distributions

open access: yesASM Science Journal, 2021
The Poisson inverse Gaussian and generalized Poisson distributions are widely used in modelling overdispersed count data which are commonly found in healthcare, insurance, engineering, econometric and ecology.
Yook-Ngor Phang   +2 more
doaj   +1 more source

VVC coded distortion prediction model based on frame-level transform coefficient modeling of generalized Gaussian distribution

open access: yesDianxin kexue, 2023
In versatile video coding (VVC), a variety of advanced coding tools work together to achieve excellent coding performance.Compared with high efficient video coding (HEVC), the transform coefficient distribution (TCD) of VVC has sharper peaks.In order to ...
Yiyin GU, Hongkui WANG, Haibin YIN
doaj   +2 more sources

Properties of Various Entropies of Gaussian Distribution and Comparison of Entropies of Fractional Processes

open access: yesAxioms, 2023
We consider five types of entropies for Gaussian distribution: Shannon, Rényi, generalized Rényi, Tsallis and Sharma–Mittal entropy, establishing their interrelations and their properties as the functions of parameters.
Anatoliy Malyarenko   +3 more
doaj   +1 more source

Estimation from quantized Gaussian measurements: when and how to use dither [PDF]

open access: yes, 2019
Subtractive dither is a powerful method for removing the signal dependence of quantization noise for coarsely quantized signals. However, estimation from dithered measurements often naively applies the sample mean or midrange, even when the total noise ...
Dawson, Robin M. A.   +2 more
core   +2 more sources

A New Family of Distributions Based on the Generalized Pearson Differential Equation with Some Applications

open access: yesAustrian Journal of Statistics, 2016
Recently, a generalization of the Pearson differential equation has appeared in the literature, from which a vast majority of continuous probability density functions (pdf’s) can be generated, known as the generalized Pearson system of continuous ...
Mohammad Shakil   +2 more
doaj   +1 more source

The Prediction of the Maternal and Fetal Blood Lead Level via Generalized Linear Model [PDF]

open access: yesالمجلة العراقية للعلوم الاحصائية, 2009
Generalized linear models (GLMs) are generalization of the linear regression models, which allow fitting regression models to response variable that is non normal and follows a general exponential family.
Zakaria Y. AL-Jammal
doaj   +1 more source

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