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Functional Analysis of Variance for Association Studies
While progress has been made in identifying common genetic variants associated with human diseases, for most of common complex diseases, the identified genetic variants only account for a small proportion of heritability. Challenges remain in finding additional unknown genetic variants predisposing to complex diseases.
Mark C. Greenwood+4 more
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Some Limiting Laws in Non-Commutative Probability
In this article, we provide some new limiting laws related to the free multiplicative law of large numbers and involving free and Boolean additive convolutions.
Ayed. R. A. Alanzi+2 more
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On
The concept of the (T=(s,t))-transformation of probability measures, introduced for s>0 and t∈R, is examined in this work from the perspective of Cauchy–Stieltjes kernel (CSK) families and their related variance functions (VFs).
Shokrya S. Alshqaq+2 more
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Variance function of boolean additive convolution [PDF]
We determine the formula for pseudo-variance function (or variance function V{\nu} in case of existence) under boolean additive convolution ...
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In case of heavy and even moderate censoring, a common problem with the Greenwood and Peto variance estimators of the Kaplan–Meier survival function is that they can underestimate the true variance in the left and right tails of the survival distribution.
Habib Nawaz Khan+6 more
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This article delves into some properties of free and Boolean multiplicative convolutions, in connection with the theory of Cauchy–Stieltjes kernel (CSK) families and their respective variance functions (VFs).
Fahad Alsharari+2 more
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Multivariate Normal Variance Mixtures in R: The R Package nvmix
We present the features and implementation of the R package nvmix for the class of normal variance mixtures including Student t and normal distributions.
Erik Hintz+2 more
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Mean and variance of the LQG cost function [PDF]
Linear Quadratic Gaussian (LQG) systems are well-understood and methods to minimize the expected cost are readily available. Less is known about the statistical properties of the resulting cost function. The contribution of this paper is a set of analytic expressions for the mean and variance of the LQG cost function.
Michel Verhaegen+3 more
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r-Free Convolution and Variance Function
The concept of r-free convolution (which is represented by r) was introduced for 0≤r≤1. It is equal to the Boolean additive convolution ⊎ if r=0 and reduced to the free additive convolution ⊞ when r=1.
Shokrya S. Alshqaq+2 more
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A Variance Model in NRTK-Based Geodetic Positioning as a Function of Baseline Length
This study examines the effect of baseline length on accuracy and precision in Network Real-Time Kinematic (NRTK) positioning and develops an experimental mathematical model to express this effect. The study also measures the performances of the Flaechen
Ömer Gökdaş, M. Tevfik Özlüdemir
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