A Generalization of the Rayleigh Distribution

A Generalization of the Rayleigh Distribution PDF Author: Ruth H. Lemon
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

Book Description


Weighted Generalization of Rayleigh and Related Class of Distributions

Weighted Generalization of Rayleigh and Related Class of Distributions PDF Author: Xueheng Shi
Publisher:
ISBN:
Category : Electronic dissertations
Languages : en
Pages : 59

Book Description
Author's abstract: Weighted distributions occur naturally and frequently in research related to reliability, bio-medicine, ecology and in the modeling of clustered sample, heterogeneity, and extraneous variation. In the analysis of intervention data, the expected value of the duration to completion of a random event sampled randomly at the end of its duration turns out to be approximately equal to the expected duration of its random interventions. This is due to the concept of size or length-biased sampling, where the weight function represents the duration of the random event in the life cycle assessment. The case of chronic disease identified by early detection screening programs constitute a length biased (weighted) sampling procedure, as individuals with a long pre-clinical disease phase have a greater probability of being identified. In this research, a new weighted generalization of the Raleigh distribution is constructed. The construction makes use of the "conservability approach" which includes the size or length-biased distribution as a special case. Weighted generalized Raleigh distribution (WGRD) with several weight functions are constructed. The properties of these distributions including behavior of hazard or failure rate and reverse hazard functions, moments, moment generating function, mean, variance, coefficient of variation, coefficient of skewness, coefficient of kurtosis are obtained. Other important properties including entropy (Shannon, beta and generalized) which are measures of the uncertainty in these distributions, and Fisher information which measures the amount of information that a random variable carries about the distribution's unknown parameters are derived and studied. Estimation of the parameters of the weighted generalized Raleigh distribution including the maximum likelihood estimators are derived. Test procedures for weightedness including length-biasedness concerning the Raleigh, generalized Raleigh and weighted generalized Raleigh models are developed.

A Parameter Estimation Technique for the Generalized Rayleigh-Rician Distribution and Laha's Bessel Distribution

A Parameter Estimation Technique for the Generalized Rayleigh-Rician Distribution and Laha's Bessel Distribution PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 26

Book Description
The purpose of this report is to provide a means by which the parameters of the generalized Rayleigh distribution can be estimated from experimental data. This report is an outgrowth of research in the area of laser radar technology; however, the results should be of general interest and find application in other disciplines where the generalized Rayleigh distribution is encountered.

Understanding & Applying Basic Statistical Methods Using R

Understanding & Applying Basic Statistical Methods Using R PDF Author: Morgan Holland &
Publisher: Scientific e-Resources
ISBN: 1839473371
Category :
Languages : en
Pages : 292

Book Description
Understanding and Applying Basic Statistical Methods Using R remarkably conquers any hindrance between propels in the measurable writing and methods routinely utilized by non-analysts. Giving a theoretical premise to understanding the relative benefits and uses of these methods, the book highlights current bits of knowledge and advances applicable to fundamental systems regarding managing non-ordinariness, exceptions, heteroscedasticity (unequal changes), and curvature. Including a manual for R, the book utilizes R programming to investigate starting factual ideas and standard methods for managing known issues related with exemplary procedures. Altogether classroom tried, the book incorporates segments that attention on either R programming or computational points of interest to enable the reader to wind up noticeably familiar with fundamental ideas and standards basic regarding understanding and applying the numerous methods as of now accessible.

Fracture Mechanics 1

Fracture Mechanics 1 PDF Author: Ammar Grous
Publisher: John Wiley & Sons
ISBN: 1118580125
Category : Technology & Engineering
Languages : en
Pages : 209

Book Description
This first book of a 3-volume set on Fracture Mechanics is mainly centered on the vast range of the laws of statistical distributions encountered in various scientific and technical fields. These laws are indispensable in understanding the probability behavior of components and mechanical structures that are exploited in the other volumes of this series, which are dedicated to reliability and quality control. The author presents not only the laws of distribution of various models but also the tests of adequacy suited to confirm or counter the hypothesis of the law in question, namely the Pearson (x2) test, the Kolmogorov-Smirnov (KS) test, along with many other relevant tests. This book distinguishes itself from other works in the field through its originality in presenting an educational approach which aims at helping practitioners both in academia and industry. It is intended for technicians, engineers, designers, students, and teachers working in the fields of engineering and vocational education. The main objective of the author is to provide an assessment of indicators of quality and reliability to aid in decision-making. To this end, an intuitive and practical approach, based on mathematical rigor, is recommended.

Medical Image Computing and Computer-Assisted Intervention -- MICCAI 2004

Medical Image Computing and Computer-Assisted Intervention -- MICCAI 2004 PDF Author: Christian Barillot
Publisher: Springer Science & Business Media
ISBN: 3540229760
Category : Medical
Languages : en
Pages : 967

Book Description
The 7th International Conference on Medical Imaging and Computer Assisted Intervention, MICCAI 2004, was held in Saint-Malo, Brittany, France at the “Palais du Grand Large” conference center, September 26–29, 2004. The p- posaltohostMICCAI2004wasstronglyencouragedandsupportedbyIRISA, Rennes. IRISA is a publicly funded national research laboratory with a sta? of 370,including150full-timeresearchscientistsorteachingresearchscientistsand 115 postgraduate students. INRIA, the CNRS, and the University of Rennes 1 are all partners in this mixed research unit, and all three organizations were helpful in supporting MICCAI. MICCAI has become a premier international conference with in-depth - pers on the multidisciplinary ?elds of medical image computing, comput- assisted intervention and medical robotics. The conference brings together cl- icians, biological scientists, computer scientists, engineers, physicists and other researchers and o?ers them a forum to exchange ideas in these exciting and rapidly growing ?elds. The impact of MICCAI increases each year and the quality and quantity of submitted papers this year was very impressive. We received a record 516 full submissions (8 pages in length) and 101 short communications (2 pages) from 36 di?erent countries and 5 continents (see ?gures below). All submissions were reviewed by up to 4 external reviewers from the Scienti?c Review C- mittee and a primary reviewer from the Program Committee. All reviews were then considered by the MICCAI 2004 Program Committee, resulting in the acceptance of 235 full papers and 33 short communications.

Medical Image Computing and Computer-Assisted Intervention – MICCAI 2007

Medical Image Computing and Computer-Assisted Intervention – MICCAI 2007 PDF Author: Nicholas Ayache
Publisher: Springer
ISBN: 3540757570
Category : Computers
Languages : en
Pages : 1044

Book Description
This title is part of a two-volume set that constitute the refereed proceedings of the 10th International Conference on Medical Image Computing and Computer-Assisted Intervention, MICCAI 2007. Coverage in this first volume includes diffusion tensor imaging and computing, cardiac imaging and robotics, image segmentation and classification, image guided intervention and robotics, innovative clinical and biological applications, brain atlas computing, and simulation of therapy.

Mathematical Modeling of Biological Systems, Volume II

Mathematical Modeling of Biological Systems, Volume II PDF Author: Andreas Deutsch
Publisher: Springer Science & Business Media
ISBN: 081764556X
Category : Mathematics
Languages : en
Pages : 383

Book Description
Volume II of this two-volume, interdisciplinary work is a unified presentation of a broad range of state-of-the-art topics in the rapidly growing field of mathematical modeling in the biological sciences. Highlighted throughout are mathematical and computational apporaches to examine central problems in the life sciences, ranging from the organization principles of individual cells to the dynamics of large populations. The chapters are thematically organized into the following main areas: epidemiology, evolution and ecology, immunology, neural systems and the brain, and innovative mathematical methods and education. The work will be an excellent reference text for a broad audience of researchers, practitioners, and advanced students in this rapidly growing field at the intersection of applied mathematics, experimental biology and medicine, computational biology, biochemistry, computer science, and physics.

Engineering Reliability and Risk in Water Resources

Engineering Reliability and Risk in Water Resources PDF Author: L. Duckstein
Publisher: Springer Science & Business Media
ISBN: 9400935773
Category : Technology & Engineering
Languages : en
Pages : 586

Book Description
Hydraulic, hydrologic and water resources engineers have been concerned for a long time about failure phenomena. One of the major concerns is the definition of a failure event E, of its probability of occurrence PtE), and of the complementary notion of reliability. However, as the stochastic aspects of hydraulics and water resources engineering were developed, words such as "failure," "reliability," and "risk" took on different meanings for different specialists. For example, "risk" is defined in a Bayesian framework as the expected loss resulting from a precisely defined failure event, while according to the practice of stochastic hydraulics it is the probability of occurrence of a failure event. The need to standardize the various concepts and operational definitions generated numerous exciting discussions between the co-editors of this book during 1983-84 when L. Duckstein, under sponsorship of the Alexander von Humboldt Foundation (FRG), was working with E. Plate at the Institute of Hydrology and Water Resources of the University of Karlsruhe. After consulting with the Scientific Affairs Division of NATO, an organizing committee was formed. This comittee - J. Bernier (France), M. Benedini (Italy), S. Sorooshian (U. S. A. ), and co-directors L. Duckstein (U. S. A. ) and E. J. Plate (F. R. G. ) -- brought into being this NATO Advanced Study Institute (ASI). Precisely stated, the purpose of this ASI was to present a tutorial overview of existing work in the broad area of reliability while also pointing out topics for further development.

Multivariate Statistical Simulation

Multivariate Statistical Simulation PDF Author: Mark E. Johnson
Publisher: John Wiley & Sons
ISBN: 1118150732
Category : Mathematics
Languages : en
Pages : 248

Book Description
Provides state-of-the-art coverage for the researcher confronted with designing and executing a simulation study using continuous multivariate distributions. Concise writing style makes the book accessible to a wide audience. Well-known multivariate distributions are described, emphasizing a few representative cases from each distribution. Coverage includes Pearson Types II and VII elliptically contoured distributions, Khintchine distributions, and the unifying class for the Burr, Pareto, and logistic distributions. Extensively illustrated--the figures are unique, attractive, and reveal very nicely what distributions ``look like.'' Contains an extensive and up-to-date bibliography culled from journals in statistics, operations research, mathematics, and computer science.