LEADER 03144nam 2200637Ia 450 001 9910783919003321 005 20200520144314.0 010 $a1-281-89702-7 010 $a9786611897024 010 $a981-270-128-1 035 $a(CKB)1000000000334329 035 $a(EBL)296070 035 $a(OCoLC)476063187 035 $a(SSID)ssj0000110827 035 $a(PQKBManifestationID)11143285 035 $a(PQKBTitleCode)TC0000110827 035 $a(PQKBWorkID)10065719 035 $a(PQKB)10812045 035 $a(MiAaPQ)EBC296070 035 $a(WSP)00005720 035 $a(Au-PeEL)EBL296070 035 $a(CaPaEBR)ebr10173976 035 $a(CaONFJC)MIL189702 035 $a(PPN)164796916 035 $a(EXLCZ)991000000000334329 100 $a20050311d2004 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aBeyond beta$b[electronic resource] $eother continuous families of distributions with bounded support and applications /$fSamuel Kotz, Johan Rene van Dorp 210 $aSingapore ;$aLondon $cWorld Scientific$dc2004 215 $a1 online resource (307 p.) 300 $aDescription based upon print version of record. 311 $a981-256-115-3 320 $aIncludes bibliographical references and indexes. 327 $aPreface; Contents; Chapter 1 The Triangular Distribution; Chapter 2 Some Early Extensions of the Triangular Distribution; Chapter 3 The Standard Two-Sided Power Distribution; Chapter 4 The Two-Sided Power Distribution; Chapter 5 The Generalized Trapezoidal Distribution; Chapter 6 Uneven Two-Sided Power Distributions; Chapter 7 The Reflected Generalized Topp and Leone Distribution; Chapter 8 A Generalized Framework for Two-Sided Distributions; Epilogue; Appendix A Graphical Overview of Continuous Univariate Families of Distributions possessing a Bounded Domain 327 $aAppendix B The Johnson SB DistributionBibliography; Author Index; Subject Index 330 $aStatistical distributions are fundamental to Statistical Science and are a prime indispensable tool for its applications. This monograph is the first to examine an important but somewhat neglected field - univariate continuous distribution on a bounded domain, excluding the beta distribution. It provides an elementary but thorough discussion of ''novel'' contributions developed in recent years, such as the two-sided power, generalized trapezoidal and generalized Topp and Leone distributions, among others. It discusses a general framework for constructing two-sided distributions and some of its 606 $aTheory of distributions (Functional analysis) 606 $aMultivariate analysis 615 0$aTheory of distributions (Functional analysis) 615 0$aMultivariate analysis. 676 $a515.782 676 $a519.5 686 $a31.73$2bcl 700 $aKotz$b Samuel$012052 701 $aVan Dorp$b Johan Rene?$01501720 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910783919003321 996 $aBeyond beta$93729027 997 $aUNINA