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Vertical Density Representation and Its Applications

Vertical Density Representation and Its Applications PDF Author: Marvin Dean Troutt
Publisher: World Scientific
ISBN: 9812386939
Category : Mathematics
Languages : en
Pages : 266

Book Description
This book presents a new research topic in statistics ? vertical density representation (VDR). The theory of VDR has been found to be useful for developing new ideas and methodologies in statistics and management science. The first paper related to VDR appeared in 1991. Several others have since been published and work is continuing on the topic. The purpose of this book is to survey the results presented in those papers and provide some new, unpublished results.VDR may be regarded as a special kind of transformation. By assuming that a variate is uniformly distributed on the contours of a given function in real n-dimensional space, and considering the density of the ordinate of the given function, the density of the original variate can be represented. The book discusses basic results and extensions. In particular, the uniform assumption on contours is relaxed to the general case. Applications are presented in Monte Carlo simulation, chaos-based uniform random number generation, and what may be called behavioral estimation. In addition, the authors include a new result in analyzing correlation into two separate components, which provides flexibility in modeling correlated phenomena, such as when combining expert estimates.

The Laplace Distribution and Generalizations

The Laplace Distribution and Generalizations PDF Author: Samuel Kotz
Publisher: Springer Science & Business Media
ISBN: 146120173X
Category : Mathematics
Languages : en
Pages : 358

Book Description
This book describes the inferential and modeling advantages that this distribution, together with its generalizations and modifications, offers. The exposition systematically unfolds with many examples, tables, illustrations, and exercises. A comprehensive index and extensive bibliography also make this book an ideal text for a senior undergraduate and graduate seminar on statistical distributions, or for a short half-term academic course in statistics, applied probability, and finance.

Continuous Multivariate Distributions, Volume 1

Continuous Multivariate Distributions, Volume 1 PDF Author: Samuel Kotz
Publisher: John Wiley & Sons
ISBN: 0471654035
Category : Mathematics
Languages : en
Pages : 752

Book Description
Continuous Multivariate Distributions, Volume 1, Second Edition provides a remarkably comprehensive, self-contained resource for this critical statistical area. It covers all significant advances that have occurred in the field over the past quarter century in the theory, methodology, inferential procedures, computational and simulational aspects, and applications of continuous multivariate distributions. In-depth coverage includes MV systems of distributions, MV normal, MV exponential, MV extreme value, MV beta, MV gamma, MV logistic, MV Liouville, and MV Pareto distributions, as well as MV natural exponential families, which have grown immensely since the 1970s. Each distribution is presented in its own chapter along with descriptions of real-world applications gleaned from the current literature on continuous multivariate distributions and their applications.

Independent Random Sampling Methods

Independent Random Sampling Methods PDF Author: Luca Martino
Publisher: Springer
ISBN: 331972634X
Category : Computers
Languages : en
Pages : 289

Book Description
This book systematically addresses the design and analysis of efficient techniques for independent random sampling. Both general-purpose approaches, which can be used to generate samples from arbitrary probability distributions, and tailored techniques, designed to efficiently address common real-world practical problems, are introduced and discussed in detail. In turn, the monograph presents fundamental results and methodologies in the field, elaborating and developing them into the latest techniques. The theory and methods are illustrated with a varied collection of examples, which are discussed in detail in the text and supplemented with ready-to-run computer code. The main problem addressed in the book is how to generate independent random samples from an arbitrary probability distribution with the weakest possible constraints or assumptions in a form suitable for practical implementation. The authors review the fundamental results and methods in the field, address the latest methods, and emphasize the links and interplay between ostensibly diverse techniques.

Data Mining

Data Mining PDF Author: John Wang
Publisher: IGI Global
ISBN: 9781931777834
Category : Computers
Languages : en
Pages : 496

Book Description
"An overview of the multidisciplinary field of data mining, this book focuses specifically on new methodologies and case studies. Included are case studies written by 44 leading scientists and talented young scholars from seven different countries. Topics covered include data mining based on rough sets, the impact of missing data, and mining free text for structure. In addition, the four basic mining operations supported by numerous mining techniques are addressed: predictive model creation supported by supervised induction techniques; link analysis supported by association discovery and sequence discovery techniques; DB segmentation supported by clustering techniques; and deviation detection supported by statistical techniques."

Contemporary Multivariate Analysis and Design of Experiments

Contemporary Multivariate Analysis and Design of Experiments PDF Author: Kaitai Fang
Publisher: World Scientific
ISBN: 9812567763
Category : Mathematics
Languages : en
Pages : 470

Book Description
Index. Subject index -- Author index

Monte Carlo and Quasi-Monte Carlo Methods 2000

Monte Carlo and Quasi-Monte Carlo Methods 2000 PDF Author: Kai-Tai Fang
Publisher: Springer Science & Business Media
ISBN: 3642560466
Category : Mathematics
Languages : en
Pages : 570

Book Description
This book represents the refereed proceedings of the Fourth International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing which was held at Hong Kong Baptist University in 2000. An important feature are invited surveys of the state-of-the-art in key areas such as multidimensional numerical integration, low-discrepancy point sets, random number generation, and applications of Monte Carlo and quasi-Monte Carlo methods. These proceedings include also carefully selected contributed papers on all aspects of Monte Carlo and quasi-Monte Carlo methods. The reader will be informed about current research in this very active field.

Vertical Density Representation And Its Applications

Vertical Density Representation And Its Applications PDF Author: Shuihung Hou
Publisher: World Scientific
ISBN: 9814483613
Category : Mathematics
Languages : en
Pages : 266

Book Description
This book presents a new research topic in statistics — vertical density representation (VDR). The theory of VDR has been found to be useful for developing new ideas and methodologies in statistics and management science. The first paper related to VDR appeared in 1991. Several others have since been published and work is continuing on the topic. The purpose of this book is to survey the results presented in those papers and provide some new, unpublished results.VDR may be regarded as a special kind of transformation. By assuming that a variate is uniformly distributed on the contours of a given function in real n-dimensional space, and considering the density of the ordinate of the given function, the density of the original variate can be represented. The book discusses basic results and extensions. In particular, the uniform assumption on contours is relaxed to the general case. Applications are presented in Monte Carlo simulation, chaos-based uniform random number generation, and what may be called behavioral estimation. In addition, the authors include a new result in analyzing correlation into two separate components, which provides flexibility in modeling correlated phenomena, such as when combining expert estimates.

Encyclopedia of Statistical Sciences, Volume 14

Encyclopedia of Statistical Sciences, Volume 14 PDF Author:
Publisher: Wiley-Interscience
ISBN: 9780471744047
Category : Mathematics
Languages : en
Pages : 400

Book Description
ENCYCLOPEDIA OF STATISTICAL SCIENCES

Bayesian Missing Data Problems

Bayesian Missing Data Problems PDF Author: Ming T. Tan
Publisher: CRC Press
ISBN: 1420077503
Category : Mathematics
Languages : en
Pages : 337

Book Description
Bayesian Missing Data Problems: EM, Data Augmentation and Noniterative Computation presents solutions to missing data problems through explicit or noniterative sampling calculation of Bayesian posteriors. The methods are based on the inverse Bayes formulae discovered by one of the author in 1995. Applying the Bayesian approach to important real-wor

Encyclopedia of Statistical Sciences

Encyclopedia of Statistical Sciences PDF Author:
Publisher:
ISBN:
Category : Mathematical statistics
Languages : en
Pages : 950

Book Description
Keeping pace with the latest developments in all branches of statistical science. Encyclopedia of Statistical Sciences is the number one source of information on statistical theory, methods, and applications for researchers and clinicians. This new volume is the last of three updates designed to bring the Encyclopedia in line with new and emerging topics and important advances in statistical science made over the past decade. Each self-contained entry is written by a leader in the field and easily understood by readers with a modest statistical background. In addition to the main selections, which feature fascinating discussions of developments in various branches of the statistical sciences, readers will find a series of shorter entries ranging in subject matter from the lives of pioneers in statistics to updates of earlier articles and reviews of statistical agencies and journals. Up-to-date bibliographies, thorough cross-referencing, and extensive indexing facilitate quick access to specific information and provide an indispensable platform for further study and research. A cumulative index and listing of all the entries in the 13 volumes of the Encyclopedia, together with the corresponding authors, are included. With the publication of this update installment, the Encyclopedia of Statistical Sciences retains its position as the only cutting-edge reference of choice for those working in statistics, probability theory, biostatistics, quality control, and economics and in applications of statistical methods in sociology, engineering, computer and communication science, biomedicine, psychology, and many other areas.