01180nam--2200325---450 99000326087020331620210127112154.088-711-9641-4000326087USA01000326087(ALEPH)000326087USA0100032608720090601d1993----km-y0itay50------baitaIT||||||||001yy<<Le>> caravelle portoghesi sulle vie delle indiele cronache di scoperta fra realtà e letteraturaatti del convegno internazionale, Milano, 3-5 dicembre 1990a cura di Piero CeccucciRomaBulzoni1993IV, 274 p.24 cmIn testa al frontespizio : Consiglio nazionale delle ricerche; Comissão nacional para as comemorãçoes dos descobrimentos portuguesesEsplorazioniViaggi per mareSec. 15.-16.Atti di congressiBNCF910.9469CECCUCCI,PieroITsalbcISBD990003260870203316X.2.B. 1864284 L.G.X.2.B.00225952BKUMACaravelle portoghesi sulle vie delle indie1119043UNISA01268nam a2200385 i 450099100078890970753620020507173616.0940711s1984 us ||| | eng 0273086189b10757508-39ule_instLE01302347ExLDip.to Matematicaeng515.352AMS 34KAMS 34K05AMS 34K35AMS 45E10AMS 47A55AMS 93D10QA372QA431Salamon, Dietmar61426Control and observation of neutral systems /D. SalamonBoston :Pitman Advanced Publ. Program,1984207 p. :ill. ;25 cm.Pitman research notes in mathematics series, ISSN 02693674 ;91Bibliography: p. 196-207Control theoryDelay differential equations.b1075750823-02-1728-06-02991000788909707536LE013 34K SAL11 (1984)12013000000640le013-E0.00-l- 00000.i1085200128-06-02Control and observation of neutral systems922998UNISALENTOle01301-01-94ma -engus 0103768nam 22005895 450 991036495600332120250505003907.03-030-28790-410.1007/978-3-030-28790-0(CKB)4100000010013750(MiAaPQ)EBC5996856(DE-He213)978-3-030-28790-0(PPN)242818803(EXLCZ)99410000001001375020191213d2019 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierFinite Form Representations for Meijer G and Fox H Functions Applied to Multivariate Likelihood Ratio Tests Using Mathematica®, MAXIMA and R /by Carlos A. Coelho, Barry C. Arnold1st ed. 2019.Cham :Springer International Publishing :Imprint: Springer,2019.1 online resource (xviii, 515 pages)Lecture Notes in Statistics,2197-7186 ;2233-030-28789-0 Preface -- Setting the Scene -- The Meijer G and Fox H Functions -- Multiple Products of Independent Beta Random Variables with Finite Form Representations for Their Distributions -- Finite Form Representations for Extended Instances of Meijer G and Fox H Functions -- Application of the Finite Form Representations of Meijer G and Fox H Functions to the Distribution of Several Likelihood Ratio Test Statistics -- Mathematica, MAXIMA and R Packages to Implement the Likelihood Ratio Tests and Compute the Distributions in the Previous Chapter -- Approximate Finite Forms for the Cases not Covered by the Finite Representation Approach -- Index.This book depicts a wide range of situations in which there exist finite form representations for the Meijer G and the Fox H functions. Accordingly, it will be of interest to researchers and graduate students who, when implementing likelihood ratio tests in multivariate analysis, would like to know if there exists an explicit manageable finite form for the distribution of the test statistics. In these cases, both the exact quantiles and the exact p-values of the likelihood ratio tests can be computed quickly and efficiently. The test statistics in question range from common ones, such as those used to test e.g. the equality of means or the independence of blocks of variables in real or complex normally distributed random vectors; to far more elaborate tests on the structure of covariance matrices and equality of mean vectors. The book also provides computational modules in Mathematica®, MAXIMA and R, which allow readers to easily implement, plot and compute the distributions of any of these statistics, or any other statistics that fit into the general paradigm described here.Lecture Notes in Statistics,2197-7186 ;223StatisticsMathematical statisticsData processingStatisticsStatistical Theory and MethodsStatistics and ComputingApplied StatisticsStatistics.Mathematical statisticsData processing.Statistics.Statistical Theory and Methods.Statistics and Computing.Applied Statistics.519.5519.24 (edition:23)Coelho Carlos Aauthttp://id.loc.gov/vocabulary/relators/aut781327Arnold Barry Cauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910364956003321Finite Form Representations for Meijer G and Fox H Functions2517207UNINA