Bayesian Weighted Sums: A Flexible Approach to Estimate Summed Mixture Effects. [PDF]
Int J Environ Res Public Health, 2021 Objectives: Methods exist to study exposure mixtures, but each is distinct in the research question it aims to address. We propose a new approach focused on estimating both the summed effect and individual weights of one or multiple exposure mixtures ...
Hamra GB +4 more
europepmc +2 more sources
Complete convergence for weighted sums of widely orthant-dependent random variables
Journal of Inequalities and Applications, 2021 The complete convergence results for weighted sums of widely orthant-dependent random variables are obtained. A strong law of large numbers for weighted sums of widely orthant-dependent random variables is also obtained. Our results extend and generalize
Pingyan Chen, Soo Hak Sung
doaj +2 more sources
Asymptotics for Weighted Random Sums [PDF]
Advances in Applied Probability, 2012 Let $\{X_i\}$ be a sequence of independent identically distributed random variables with an intermediate regularly varying (IR) right tail $\bar{F}$. Let $(N, C_1, ..., C_N)$ be a nonnegative random vector independent of the $\{X_i\}$ with $N \in \mathbb{
Olvera-Cravioto, Mariana
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Complete convergence and complete moment convergence for weighted sums of extended negatively dependent random variables under sub-linear expectation. [PDF]
J Inequal Appl, 2017 In this paper, we study the complete convergence and complete moment convergence for weighted sums of extended negatively dependent (END) random variables under sub-linear expectations space with the condition of CV[|X|pl(|X|1/α)]
Zhong H, Wu Q.
europepmc +2 more sources
Arithmetic-Progression-Weighted Subsequence Sums [PDF]
Israel Journal of Mathematics, 2011 Let $G$ be an abelian group, let $S$ be a sequence of terms $s_1,s_2,...,s_{n}\in G$ not all contained in a coset of a proper subgroup of $G$, and let $W$ be a sequence of $n$ consecutive integers. Let $$W\odot S=\{w_1s_1+...+w_ns_n:\;w_i {a term of} W,\,
Grynkiewicz, David J. +2 more
core +3 more sources
Simple Learned Weighted Sums of Inferior Temporal Neuronal Firing Rates Accurately Predict Human Core Object Recognition Performance. [PDF]
J Neurosci, 2015 To go beyond qualitative models of the biological substrate of object recognition, we ask: can a single ventral stream neuronal linking hypothesis quantitatively account for core object recognition performance over a broad range of tasks?
Majaj NJ +3 more
europepmc +2 more sources
Berry-Esseen Bounds for typical weighted sums [PDF]
Electronic Journal of Probability, 2017 Under correlation-type conditions, we derive upper bounds of order $\frac{1}{\sqrt{n}}$ for the Kolmogorov distance between the distributions of weighted sums of dependent summands and the normal law.
S. Bobkov, G. Chistyakov, F. Gotze
semanticscholar +6 more sources
Convergence rates in the central limit theorem for weighted sums of Bernoulli random fields
Modern Stochastics: Theory and Applications, 2018 Moment inequalities for a class of functionals of i.i.d. random fields are proved. Then rates are derived in the central limit theorem for weighted sums of such randoms fields via an approximation by m-dependent random fields.
Davide Giraudo
doaj +3 more sources
Sylvester power and weighted sums on the Frobenius set in arithmetic progression [PDF]
Discrete Applied Mathematics, 2022 Let a 1 , a 2 , . . . , a k be positive integers with gcd( a 1 , a 2 , . . . , a k ) = 1. Frobenius number is the largest positive integer that is NOT representable in terms of a 1 , a 2 , . . . , a k . When k ≥ 3, there is no explicit formula in general,
T. Komatsu
semanticscholar +1 more source
Certain Polynomials with Weighted Sums
Journal of the Chosun Natural Science, 2015 In this note, we provide some examples of polynomials z n −p(z), where , and , a k ≥ 0 for eachk such that p(z) has all its zeros on |z|=c 1, and wedenote C(r) by the circle of radius r with center the ori-gin. It follows from Enestrm-Kakeya theorem [1] (
Seon-Hong Kim
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