On parallel sum and difference of matrices

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Processing of citrus peel for the extraction of flavonoids for biotechnological applications

Flavonoids are extra nutritional constituents that naturally occur in small quantities in plants. They are a family of polyphenolic compounds that are widespread in nature and are consumed as part of the human diet in significant amounts. The diversity in their structure and bioactivity of flavonoids make these compounds an interesting candidate for biotechnology based research. Extraction of flavonoids from citrus employing the use of various techniques such as chemical and physical methods is attempted in this write up. The biotechnological potential of flavonoids is not currently exploited to its maximum since extraction procedures are in developing phase. The current knowledge on the sources of citrus flavonoids and their potential activities in alleviating human health is also discussed

Optimal rank-based procedures for time series analysis: testing an ARMA model against other ARMA models

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A multivariate Wald-Wolfowitz rank test against serial dependence

Rank-based cross-covariance matrices, extending to the case of multivariate observed series the (univariate) rank autocorrelation coefficients introduced by Wald and Wolfowitz (1943), are considered. A permutational central limit theorem is established for the joint distribution of such matrices, under the null hypothesis of (multivariate) randomness as well as under contiguous alternatives of (multivariate) ARMA dependence. A rank-based, permutationaily distribution-free test of the portmanteau type is derived, and its asymptotic local power is investigated. Finally, a modified rank-based version of Tiao and Box's model specification procedure is proposed, which is likely to be more reliable under non-Gaussian conditions, and more robust against gross errors.Des matrices de covariances croisées fondées sur les rangs, généralisant au cas des séries multivariées les coefficients d'autocorrélation de rangs introduits par Wald et Wolfowitz (1943) sont considérées. Un théorème central-limite permutationnel est établi pour ces matrices, sous Phypothèse que la sérle sous-jacente constitue la réalisation d'un bruit blanc multivarié, ainsi que sous des contre-hypothèses contiguës de dépendance ARMA. Un test de rangs du type portemanteau est également construit, et sa puissance asymptotique locale est explicitement calculée. Enfin, une version fondée sur les rangs de la procédure d'identification de Tiao et Box est proposée. Celle-ci est plus fiable que la procédure usuelle sous des conditions non gaussiennes, et plus robuste par rapport à la présence de valeurs aberrantes.FLWNAinfo:eu-repo/semantics/publishe

On locally asymptotically maximin tests for ARMA processes

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Aligned rank tests for linear models with autocorrelated error terms

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Rank tests for time series analysis: a survey

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Rank tests for time-series analysis: a survey

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Locally asymptotically optimal tests for randomness

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