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389 results for “U-statistics”

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Research ArticleOpen accessEvery word in the titleOn Multivariate Order Statistics by Marginal Ordering of i.n.n.i.d. Random Vectors Under Discontinuous d.f.'sM. Güngör, A. Gökhan, Y. BulutIn this study, the joint Probability Density Function (p.d.f.) of multivariate order statistics by marginal ordering of the Independent and Not Necessarily Identically Distributed (i.n.n.i.d.) random vectors under discontinuous d.f.'s is examined. Furthermore, the continuous cases are derived from the discontinuous cases. …Journal of Mathematics and Statistics, Vol. 1, Issue 1 · 31 Mar 2005 · 6,345 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleFrom a Vicious Circle of Anxiety to a Virtuous Circle of Learning: Experience of Teaching Statistics to a Heterogeneous ClienteleMohammad Alauddin, James E. ButlerA considerable body of literature suggests that significant psychological barrier and anxiety characterize the teaching and learning process in statistics. This study investigates the incidence of statistics anxiety, the extent to which it can be overcome and the factors that contribute to the process of overcoming it. Self-study and overall teaching quality, amongst others, significantly contributed to this outcome. This … …American Journal of Applied Sciences, Vol. 1, Issue 3 · 30 Sep 2004 · 7,109 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleAssessment of Heavy Metal Cu, Pb, Cd Contamination in Dust in Zahedan City using Pollution Indices and GIS and Geo Statistics Technologies, Zahedan, IranKaveh Ostad-Ali-Askari, Hossein Gholami, Meysam Madadi et al.Assessment of heavy metal contamination is of great importance given its hazardous impacts on humans and the environment. Atmosphere is an important path for heavy metals transportation and plays a major role in the bioaccumulation of heavy metals in the environment. The present research aims to assess soil pollution to heavy metals of lead, copper and cadmium in Zahedan using … …American Journal of Engineering and Applied Sciences, Vol. 13, Issue 4 · 30 Dec 2020 · 6,860 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleSome Test Statistics for Testing the Binomial Parameter: Empirical Power ComparisonFlorence George, B.M. Golam KibriaProblem statement: The Binomial distribution is one of the most useful probability distributions in the filed of quality control, physical and medical sceinces. Many questions of interest to the health worker related to make inference about the unknown population proportion, parameter of binomial distribution. This study considers the problem of hypotheses testing of the parameter of a binomial distribution. Approach: … …Current Research in Biostatistics, Vol. 1, Issue 2 · 31 Dec 2010 · 7,870 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleComparisons of Test Statistics for Noninferiority Test for the Difference between Two Independent Binominal ProportionsYouhei Kawasaki, Fanghong Zhang, Etsuo MiyaokaProblem statement: Noninferiority tests are frequently used in clinical trials to demonstrate that the response for study drugs is not much worse than the response for reference drugs. Several test statistics exist. However, a detailed comparison of those test statistics is not researched. Moreover, a little complex calculation might be necessary in some of those test statistics. Approach: In this … …Current Research in Biostatistics, Vol. 1, Issue 1 · 30 Jun 2010 · 14,098 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleTHE COMPLEX STATISTICS PARADIGM AND THE LAW OF LARGE NUMBERSAbdo Abou JaoudeThe five basic axioms of Kolmogorov define the probability in the real set R and do not take into consideration the imaginary part which takes place in the complex set C, a problem that we are facing in applied mathematics. Whatever the probability distribution of the random variable in R is, the corresponding probability in the whole set C equals … …Journal of Mathematics and Statistics, Vol. 9, Issue 4 · 9 Oct 2013 · 8,199 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleq-Deformed Statistics from Position-Dependent Mass Schrödinger EquationaJesus Morales Rivas, Jose Juan Peña Gil, J. García RaveloAn algebraic approach is used to obtain the canonical form of the position-dependent mass Schrödinger equation from where a couple of canonical quantum variables, the q-deformed operators for the position xq, and the hermitian linear momentum operator pq are derived. In this q-deformed coordinate space, the commutator remains invariant namely [xq, pq] = iħ. By taking advantage of these q-deformed … …Journal of Mathematics and Statistics, Vol. 19, Issue 1 · 15 Sep 2023 · 5,191 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleUSING COLUMN GENERATION TECHNIQUE TO ESTIMATE PROBABILITY STATISTICS IN TRANSITION MATRIX OF LARGE SCALE MARKOV CHAIN WITH LEAST ABSOLUTE DEVIATION CRITERIAWanida Lerspipatthananon, Peerayuth CharnsethikulThe Least Absolute Deviation (LAD) method is the one of many methods used to estimate transition probability matrix of Markov Chain. It can be formulated as a Linear Programming Problem (LP) and solved using its regular state of the art software. However, when the Markov Chain has a large number of states and historical state probabilities data, the corresponding LP … …Journal of Mathematics and Statistics, Vol. 10, Issue 3 · 23 Sep 2014 · 7,116 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleAn Application of Univariate Statistics to Hotelling's T2Dr. A. PolymenisProblem statement: Hotelling's T2 statistic has been well documented in the existing literature and exact as well as asymptotic results have been obtained. In the present article, we focus on an important particular case of T2 and we note that, there is no clear way to show, how univariate results, used in the theory of Student’s t statistic, could be … …Journal of Mathematics and Statistics, Vol. 7, Issue 1 · 25 Mar 2011 · 7,660 accessesView PDFCite