Results 101 to 110 of about 332,668 (285)
Optimal model‐based design of experiments for parameter precision: Supercritical extraction case
The Canadian Journal of Chemical Engineering, EarlyView.Abstract This study investigates the process of chamomile oil extraction from flowers. A parameter‐distributed model consisting of a set of partial differential equations is used to describe the governing mass transfer phenomena in a cylindrical packed bed with solid chamomile particles under supercritical conditions using carbon dioxide as a solvent ...
Oliwer Sliczniuk, Pekka Oinas
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An Asymptotic Formula for Binomial Sums
Journal of Number Theory, 1996 This paper studies asymptotic expansions for binomial sums of the form \[ S(n)=\sum^n_{k=0}\begin{pmatrix} n\\ k\end{pmatrix}^{r_0}\begin{pmatrix} n+k\\ k\end{pmatrix}^{r_1}\begin{pmatrix} n+2k\\ k\end{pmatrix}^{r_2}\dots\begin{pmatrix} n+mk\\ k\end{pmatrix}^{r_m}, \] where the \(r_j\) are nonnegative real numbers with \(r_0>0\). The main result is the
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Restricted Tweedie stochastic block models
Canadian Journal of Statistics, EarlyView.Abstract The stochastic block model (SBM) is a widely used framework for community detection in networks, where the network structure is typically represented by an adjacency matrix. However, conventional SBMs are not directly applicable to an adjacency matrix that consists of nonnegative zero‐inflated continuous edge weights.
Jie Jian, Mu Zhu, Peijun Sang
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Error Bounds for Asymptotic Solutions of Second-Order Linear Difference Equations II: The First Case
Advances in Difference Equations, 2010 We discuss in detail the error bounds for asymptotic solutions of second-order linear difference equation where and are integers, and have asymptotic expansions of the form , , for large values of , , and .
Zhang JM, Cao LH
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A series transformation formula and related polynomials
International Journal of Mathematics and Mathematical Sciences, 2005 We present a formula that turns power series into series of functions. This formula serves two purposes: first, it helps to evaluate some power series in a closed form; second, it transforms certain power series into asymptotic series.
Khristo N. Boyadzhiev
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Asymptotic Error Estimates for Gaussian Quadrature Formulas [PDF]
Mathematics of Computation, 1982 This paper gives derivative-free asymptotic error estimates for the Gaussian quadrature formula with the nonnegative weight function w ( x ) w(x) belonging to a certain class. Numerical examples are presented.
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Subuniformity of harmonic mean p$$ p $$‐values
Canadian Journal of Statistics, EarlyView.Abstract We obtain several inequalities on the generalized means of dependent p$$ p $$‐values. In particular, the weighted harmonic mean of p$$ p $$‐values is strictly subuniform under several dependence assumptions of p$$ p $$‐values, including independence, negative upper orthant dependence, the class of extremal mixture copulas, and some Clayton ...
Yuyu Chen +3 more
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Asymptotic formula for detecting inclusions via boundary measurements
Electronic Journal of Differential Equations, 2018 In this article, we are concerned with a geometric inverse problem related to the Laplace operator in a three-dimensional domain. The aim is to derive an asymptotic formula for detecting an inclusion via boundary measurement.
Khalifa Khelifi +3 more
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Predicting cervical cancer DNA methylation from genetic data using multivariate CMMP
Canadian Journal of Statistics, EarlyView.Abstract Epigenetic modifications link the environment to gene expression and play a crucial role in tumour development. DNA methylation, in particular, is gaining attention in cancer research, including cervical cancer, the focus of this study.
Hang Zhang +5 more
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Asymptotic formulae for linear equations [PDF]
Glasgow Mathematical Journal, 1972 Numerous formulae have been given which exhibit the asymptotic behaviour as t → ∞solutions ofwhere F(t) is essentially positive and Several of these results have been unified by a theorem of F. V. Atkinson [1]. It is the purpose of this paper to establish results, analogous to the theorem of Atkinson, for the third order equationand for the fourth ...
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