5 articles for “Random Matrices”

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Research ArticleOpen accessPhrase in the titleProbabilistic Estimates of the Largest Strictly Convex Singular Values of Pregaussian Random MatricesYang LiuIn this study, the p-singular values of random matrices with Gaussian entries defined in terms of the lp-p-norm for p>1, as is studied. Mainly, using analytical techniques, we show the probabilistic estimate, precisely, the decay, on the upper tail probability of the largest strictly convex singular values, when the number of rows of the matrices becomes very large and the … …Journal of Mathematics and Statistics, Vol. 11, Issue 1 · 6 May 2015 · 6,887 accessesView PDF Cite

Research ArticleOpen accessIn the abstractA Test on the Multivariate Behrens–Fisher Problem in High–Dimensional Data by Block Covariance EstimationParanut Sukcharoen, Samruam ChongcharoenIn this paper, we proposed a new testing statistic for testing the equality of mean vectors from two multivariate normal populations when the covariance matrices are unknown and unequal in high–dimensional data. A new test is proposed based on the idea of keeping more information from the sample covariance matrices as much as possible. A proposed test is invariant under … …Journal of Mathematics and Statistics, Vol. 15, Issue 1 · 2 Apr 2019 · 7,369 accessesView PDF Cite

Research ArticleOpen accessIn the abstractAccessing the Appropriateness of a Spatial Regression Using Generalized (h1h2-)Slepian Random FieldWayan Somayasa, Jamhir Safani, La Ode Ngkoimani, Muhamad Zamrun F.In this study we derived asymptotic goodness-of-fit test (model check) for spatial regression where the critical region as well as the p-value of the tests are approximated based on the distribution of a type of the integral functional of the generalized (h1h2-)-Slepian field and the set-indexed Gaussian white noise. Such random fields are obtained as the limit process of the … …Journal of Mathematics and Statistics, Vol. 13, Issue 2 · 2 May 2017 · 7,362 accessesView PDF Cite

Research ArticleOpen accessIn the abstractApplication of Markov Chains to Stock TrendsKevin J. Doubleday, Julius N. EsungeProblem statement: Modeling of the Dow Jones Industrial Average is frequently attempted in order to determine trading strategies with maximum payoff. Changes in the DJIA are important since movements may affect both individuals and corporations profoundly. Previous work showed that modeling a market as a random walk was valid and that a market may be viewed as having the Markov … …Journal of Mathematics and Statistics, Vol. 7, Issue 2 · 18 May 2011 · 8,558 accessesView PDF Cite

Research ArticleOpen accessIn the abstractHead Gesture Analysis using Matrix Group Displacement AlgorithmMahmoud Z. IskandaraniA novel algorithm for head gestures interpretation is designed and tested. The designed system carries out gesture detection and recognition using the MGDA algorithm, which implements random sampling and importance sampling, such technique can track head poses and estimate head positions. Problem statement: Head position is an important indicator of a person’s focus of attention, which can be used as … …Journal of Computer Science, Vol. 6, Issue 11 · 23 Oct 2010 · 7,247 accessesView PDF Cite