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End date: 2019 × Start date: 2016 × Has files: Yes × Publisher: New York, NY [u.a.] : Springer Science + Business Media B.V. ×

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    Large Deviations of Continuous Regular Conditional Probabilities
    (New York, NY [u.a.] : Springer Science + Business Media B.V., 2016) van Zuijlen, W.
    We study product regular conditional probabilities under measures of two coordinates with respect to the second coordinate that are weakly continuous on the support of the marginal of the second coordinate. Assuming that there exists a sequence of probability measures on the product space that satisfies a large deviation principle, we present necessary and sufficient conditions for the conditional probabilities under these measures to satisfy a large deviation principle. The arguments of these conditional probabilities are assumed to converge. A way to view regular conditional probabilities as a special case of product regular conditional probabilities is presented. This is used to derive conditions for large deviations of regular conditional probabilities. In addition, we derive a Sanov-type theorem for large deviations of the empirical distribution of the first coordinate conditioned on fixing the empirical distribution of the second coordinate.
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    The Taste of Waste: The Edge of Eggshell Over Calcium Carbonate in Acrylonitrile Butadiene Rubber
    (New York, NY [u.a.] : Springer Science + Business Media B.V., 2019) Bhagavatheswaran, Eshwaran Subramani; Das, Amit; Rastin, Hadi; Saeidi, Hoda; Jafari, Seyed Hassan; Vahabi, Henri; Najafi, Farhood; Khonakdar, Hossein Ali; Formela, Krzysztof; Jouyandeh, Maryam; Zarrintaj, Payam; Saeb, Mohammad Reza
    Rubber technology experiences a new age by the use of biowaste or natural fillers. In this regard, taking properties of reinforcing agents from biowaste fillers remains as the challenging matter. Chicken eggshell (ES) biowaste has recently been introduced to substitute calcium carbonate (CaCO3) duo to its superior properties and low price. In this work, composites based on acrylonitrile butadiene rubber (NBR) reinforced with ES and CaCO3 microfillers at various loading levels were prepared and characterized. To improve the interactions between fillers and the NBR matrix, ES and CaCO3 were surface-functionalized using a terpolymer, namely poly(vinyl 2-pyrrolidone-co-maleic acid-co-acrylic acid). Fourier-transform infrared spectroscopy (FTIR) and thermogravimetric analysis (TGA) were used to characterize the modified fillers. The incorporation of the functionalized fillers resulted in a significant rise in the maximum torque according to the rheometric measurements. The Young’s modulus of the ES-based and CaCO3-based compounds showed a mild improvement over a wide range of filler contents. The elongation at break of the NBR composites, however, was dependent on the filler content. This work provides exciting opportunities for the design of novel and innovative coupling agents to be used in rubber applications. © 2019, The Author(s).