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Mean convergence theorems for weighted sums of an array of dependent random variables satisfying this condition of integrability are obtained.
In this paper, we obtain weak laws of large numbers for the array of dependent random variables satisfying the condition of residually ( r, h ) -integrable with respect to the array of constants { a n i }.
The first statistical approach tested the hypothesis that there were significant gender x diagnosis interactions across the array of dependent variables (DVs), viewing each of the DVs in isolation.
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We also establish a Hájek-Rényi-type maximal inequality for multidimensional arrays of random elements and some maximal moment inequalities for arrays of dependent random elements.
A vast array of culture dependent analytical methods and protocols for food safety testing has been developed during the past decades.
Let { X n i, i ≥ 1, n ≥ 1 } be an array of negatively dependent random variables which are stochastically dominated by a random variable X.
Bacteria display an array of contact-dependent interaction systems that have evolved to facilitate direct cell-to-cell communication.
However, he believes that we have available to us an array of response-dependent "surrogate" moral concepts regarding which we may hold a success theory.
Activated neutrophils eliminate invading pathogens by phagocytosis and a diverse array of oxygen-dependent and oxygen-independent killing mechanisms.
An array of Isw2-dependent, regularly spaced nucleosomes especially in gene upstream region reflects stronger US nucleosome barrier as compared to downstream of the gene terminator.
The PBD domain is responsible for the proper cellular localization of Plk1 through an array of phosphorylation-dependent protein protein interactions mediated by the phosphopeptide-binding groove.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com