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Vertical Density Representation and Its Applications
Marvin Dean TrouttWan-Kai PangShui-Hung Hou
出版World Scientific, 2004
主題Mathematics / Probability & Statistics / General
ISBN98125626139789812562616
URLhttp://books.google.com.hk/books?id=yLxgDQAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋This book presents a new research topic in statistics ? verticaldensity representation (VDR). The theory of VDR has been found to beuseful for developing new ideas and methodologies in statistics andmanagement science. The first paper related to VDR appeared in1991. Several others have since been published and work is continuingon the topic. The purpose of this book is to survey the resultspresented in those papers and provide some new, unpublished results.VDR may be regarded as a special kind of transformation. By assumingthat a variate is uniformly distributed on the contours of a givenfunction in real n-dimensional space, and considering thedensity of the ordinate of the given function, the density of theoriginal variate can be represented. The book discusses basic resultsand extensions. In particular, the uniform assumption on contours isrelaxed to the general case. Applications are presented in Monte Carlosimulation, chaos-based uniform random number generation, and what may becalled behavioral estimation. In addition, the authors include a newresult in analyzing correlation into two separate components, whichprovides flexibility in modeling correlated phenomena, such as whencombining expert estimates.