Distributions Processes And Statistics On Spheres

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Distributions Processes And Statistics On Spheres

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Author : John T. Kent
language : en
Publisher:
Release Date : 1976

Distributions Processes And Statistics On Spheres written by John T. Kent and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Distribution (Probability theory) categories.

Statistics On Spheres

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Author : Geoffrey S. Watson
language : en
Publisher: Wiley-Interscience
Release Date : 1983

Statistics On Spheres written by Geoffrey S. Watson and has been published by Wiley-Interscience this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Mathematics categories.

Statistical methods based on the center of Mass of the sample; Statistical methods based on the moments of inertia of the sample.

Directional Statistics

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Author : Kanti V. Mardia
language : en
Publisher: John Wiley & Sons
Release Date : 2009-09-25

Directional Statistics written by Kanti V. Mardia and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-09-25 with Mathematics categories.

Presents new and up-dated material on both the underlying theory and the practical methodology of directional statistics, helping the reader to utilise and develop the techniques appropriate to their work. The book is divided into three parts. The first part concentrates on statistics on the circle. Topics covered include tests of uniformity, tests of good-of-fit, inference on von Mises distributions and non-parametric methods. The second part considers statistics on spheres of arbitrary dimension, and includes a detailed account of inference on the main distributions on spheres. Recent material on correlation, regression time series, robust techniques, bootstrap methods, density estimation and curve fitting is presented. The third part considers statistics on more general sample spaces, in particular rotation groups, Stiefel manifolds, Grassmann manifolds and complex projective spaces. Shape analysis is considered from the perspective of directional statistics. Written by leading authors in the field, this text will be invaluable not only to researchers in probability and statistics interested in the latest developments in directional statistics, but also to practitioners and researchers in many scientific fields, including astronomy, biology, computer vision, earth sciences and image analysis.

Statistical Analysis Of Spherical Data

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Author : N. I. Fisher
language : en
Publisher: Cambridge University Press
Release Date : 1993-08-19

Statistical Analysis Of Spherical Data written by N. I. Fisher and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-08-19 with Mathematics categories.

This is the first comprehensive, yet clearly presented, account of statistical methods for analysing spherical data. The analysis of data, in the form of directions in space or of positions of points on a spherical surface, is required in many contexts in the earth sciences, astrophysics and other fields, yet the methodology required is disseminated throughout the literature. Statistical Analysis of Spherical Data aims to present a unified and up-to-date account of these methods for practical use. The emphasis is on applications rather than theory, with the statistical methods being illustrated throughout the book by data examples.

Exponential Distribution

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Author : K. Balakrishnan
language : en
Publisher: Routledge
Release Date : 2019-01-22

Exponential Distribution written by K. Balakrishnan and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-22 with Mathematics categories.

The exponential distribution is one of the most significant and widely used distribution in statistical practice. It possesses several important statistical properties, and yet exhibits great mathematical tractability. This volume provides a systematic and comprehensive synthesis of the diverse literature on the theory and applications of the expon

Analysis Of The Distribution On A Sphere By The Methods Of Inverse Probability

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Author : Joseph Barry Garner
language : en
Publisher:
Release Date : 1968

Analysis Of The Distribution On A Sphere By The Methods Of Inverse Probability written by Joseph Barry Garner and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with categories.

Statistics Of The Galaxy Distribution

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Author : Vicent J. Martinez
language : en
Publisher: CRC Press
Release Date : 2001-12-20

Statistics Of The Galaxy Distribution written by Vicent J. Martinez and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-12-20 with Mathematics categories.

Over the last decade, statisticians have developed new statistical tools in the field of spatial point processes. At the same time, observational efforts have yielded a huge amount of new cosmological data to analyze. Although the main tools in astronomy for comparing theoretical results with observation are statistical, in recent years, cosmologis

Directional Statistics For Innovative Applications

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Author : Ashis SenGupta
language : en
Publisher: Springer Nature
Release Date : 2022-06-15

Directional Statistics For Innovative Applications written by Ashis SenGupta and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-15 with Mathematics categories.

In commemoration of the bicentennial of the birth of the “lady who gave the rose diagram to us”, this special contributed book pays a statistical tribute to Florence Nightingale. This book presents recent phenomenal developments, both in rigorous theory as well as in emerging methods, for applications in directional statistics, in 25 chapters with contributions from 65 renowned researchers from 25 countries. With the advent of modern techniques in statistical paradigms and statistical machine learning, directional statistics has become an indispensable tool. Ranging from data on circles to that on the spheres, tori and cylinders, this book includes solutions to problems on exploratory data analysis, probability distributions on manifolds, maximum entropy, directional regression analysis, spatio-directional time series, optimal inference, simulation, statistical machine learning with big data, and more, with their innovative applications to emerging real-life problems in astro-statistics, bioinformatics, crystallography, optimal transport, statistical process control, and so on.

Univariate Stable Distributions

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Author : John P. Nolan
language : en
Publisher: Springer Nature
Release Date : 2020-09-13

Univariate Stable Distributions written by John P. Nolan and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-13 with Mathematics categories.

This textbook highlights the many practical uses of stable distributions, exploring the theory, numerical algorithms, and statistical methods used to work with stable laws. Because of the author’s accessible and comprehensive approach, readers will be able to understand and use these methods. Both mathematicians and non-mathematicians will find this a valuable resource for more accurately modelling and predicting large values in a number of real-world scenarios. Beginning with an introductory chapter that explains key ideas about stable laws, readers will be prepared for the more advanced topics that appear later. The following chapters present the theory of stable distributions, a wide range of applications, and statistical methods, with the final chapters focusing on regression, signal processing, and related distributions. Each chapter ends with a number of carefully chosen exercises. Links to free software are included as well, where readers can put these methods into practice. Univariate Stable Distributions is ideal for advanced undergraduate or graduate students in mathematics, as well as many other fields, such as statistics, economics, engineering, physics, and more. It will also appeal to researchers in probability theory who seek an authoritative reference on stable distributions.

Statistical Distribution Of Fo

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Author : Shu-Hei Chan
language : en
Publisher: Open Dissertation Press
Release Date : 2017-01-27

Statistical Distribution Of Fo written by Shu-Hei Chan and has been published by Open Dissertation Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-27 with Technology & Engineering categories.

This dissertation, "Statistical Distribution of Forces in Random Packings of Spheres and Honeycomb Structures" by Shu-hei, Chan, 陳樹禧, was obtained from The University of Hong Kong (Pokfulam, Hong Kong) and is being sold pursuant to Creative Commons: Attribution 3.0 Hong Kong License. The content of this dissertation has not been altered in any way. We have altered the formatting in order to facilitate the ease of printing and reading of the dissertation. All rights not granted by the above license are retained by the author. Abstract: Abstract Abstract of thesis entitled: Statistical Distribution of Forces in Random Packings of Spheres and Honeycomb Structures Submitted by: Chan Shu Hei for the degree of Master of Philosophy at the University of Hong Kong in September 2004 Many engineering materials used in structural applications have random structures such as open cell foam materials and granular packings. An understanding of how these internal forces scatter is necessary to enable the mechanical failure of these structures to be predicted. The main aim of this study was to perform experiments to investigate the statistical distribution of internal forces in three-dimensional packings of deformable spheres and two-dimensional elastic random honeycomb structures under external loadings. The experimental observations were compared to the predictions from a statistical-mechanics-based theory in which entropy functional was used to represent the structural randomness. A new method for measuring probability distributions of contact forces in packings of deformable spheres was introduced. Polystyrene balls were placed in a large acrylic tank, the inner walls of which were lined with a type of pink, translucent plastic sheets. The plastic sheets possess a special internal reflection property when illuminated by red light. When the sheet is pressed in a normal direction by a polystyrene ball, it exhibits a bright patch with size very sensitive to the pressure. By employing this method, the deformation areas of forces down to 0.3N could be detected. After filling the tank with the balls, a wooden board loaded with deadweights was placed on the top of the balls. A digital camera was used to image the patches on the sides of the tank and the areas of the patches were measured. The effects of three factors (applied pressure, crystallinity of the packing, and grain size) were investigated. The force distribution was found to be independent of the sphere size and the applied load, but was a strong function of the packing structure. When the packing structure changed from random to a hexagonal-close-packed morphology, the force distribution function changed from a monotonically decreasing form to a peaked form. The force distributions in both cases could be described accurately by the family of theoretical curves. In another set of experiments, the probability force distributions of random honeycomb structures were measured. A series of elastic honeycombs were tailor-made by rapid prototyping technology. Mechanical straining experiments were then carried out in a purpose-built apparatus for both uni-axial and 2-D hydrostatic tensile loadings. The displacements of the nodes between struts were measured by assessing the digital photographs with image analyzing software. Axial force and the shear force in each strut could be determined. To verify the experimental measurement methods, finite-element simulations were conducted. The probability distribution of a regular structure under hydrostatic loading was narrowly peaked at the mean force value. In contrast, in the case of uni-axial tension, the probability distribution function of the axial forces was twin-peaked. The force distributions of random structure spread much wider than those of regular structure. The finite-element simulation results of a solid model under uni-axial loading illustrated ve