Research ArticleOpen accessAll words, across the recordTHREE BAYESIAN TEST INDEXES FOR NORMAL DISTRIBUTIONSYohei KawasakiIn clinical trials, data that are consistent with a normal distribution are often regarded as candidates for primary evaluation variables. In such cases, t-tests are frequently used to compare different groups of data. However, the repeated use of t-tests leads to problems with multiplicity. This study proposes three new indexes that are based on (Kawasaki and Miyaoka, 2012; 2013). These … …Journal of Mathematics and Statistics, Vol. 10, Issue 2 · 24 Apr 2014 · 6,721 accessesView PDFCite
Research ArticleOpen accessAll words, across the recordSWITCHING-ALGEBRAIC ANALYSIS OF RELATIONAL DATABASESAli Muhammad Ali Rushdi, Omar Mohammed Ba-RukabThere is an established equivalence between relational database Functional Dependencies (FDs) and a fragment of switching algebra that is built typically of Horn clauses. This equivalence pertains to both concepts and procedures of the FD relational database domain and the switching algebraic domain. This study is an exposition of the use of switching-algebraic tools in solving problems typically encountered in … …Journal of Mathematics and Statistics, Vol. 10, Issue 2 · 18 Apr 2014 · 6,705 accessesView PDFCite
Research ArticleOpen accessAll words, across the recordAssessing Convergence of the Markov Chain Monte Carlo Method in Multivariate CaseDenismar Alves Nogueira, Thelma Safadi, Daniel Furtado Ferreira, Eric Batista FerreiraThe formal convergence diagnosis of the Markov Chain Monte Carlo (MCMC) is made using univariate and multivariate criteria. In 1998, a multivariate extension of the univariate criterion of multiple sequences was proposed. However, due to some problems of that multivariate criterion, an alternative form of calculation was proposed in addition to the two new alternatives for multivariate convergence criteria. In … …Journal of Mathematics and Statistics, Vol. 8, Issue 4 · 8 Jan 2013 · 7,019 accessesView PDFCite