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عنوان
Modelling and analysis of compositional data /

پدید آورنده
Vera Pawlowsky-Glahn, Juan J. Egozcue, Raimon Tolosana-Delgado

موضوع
Geometric analysis.,Mathematical statistics.,Multivariate analysis.

رده
QA278

کتابخانه
Center and Library of Islamic Studies in European Languages

محل استقرار
استان: Qom ـ شهر: Qom

Center and Library of Islamic Studies in European Languages

تماس با کتابخانه : 32910706-025

INTERNATIONAL STANDARD BOOK NUMBER

(Number (ISBN
1118443063
(Number (ISBN
1119003113
(Number (ISBN
111900313X
(Number (ISBN
1119003148
(Number (ISBN
9781118443064
(Number (ISBN
9781119003113
(Number (ISBN
9781119003137
(Number (ISBN
9781119003144
Erroneous ISBN
9781118443064

NATIONAL BIBLIOGRAPHY NUMBER

Number
dltt

TITLE AND STATEMENT OF RESPONSIBILITY

Title Proper
Modelling and analysis of compositional data /
General Material Designation
[Book]
First Statement of Responsibility
Vera Pawlowsky-Glahn, Juan J. Egozcue, Raimon Tolosana-Delgado

PHYSICAL DESCRIPTION

Specific Material Designation and Extent of Item
1 online resource

SERIES

Series Title
Statistics in practice

INTERNAL BIBLIOGRAPHIES/INDEXES NOTE

Text of Note
Includes bibliographical references and indexes

CONTENTS NOTE

Text of Note
Introduction -- Compositional Data and Their Sample Space -- Basic concepts -- Principles of compositional analysis -- Scale invariance -- Permutation invariance -- Subcompositional coherence -- Zeros, missing values, and other irregular components -- Kinds of irregular components -- Strategies to analyze irregular data -- Exercises -- The Aitchison Geometry -- General comments -- Vector space structure -- Inner product, norm and distance -- Geometric figures -- Exercises -- Coordinate Representation -- Introduction -- Compositional observations in real space -- Generating systems -- Orthonormal coordinates -- Balances -- Working on coordinates -- Additive logratio coordinates (alr) -- Orthogonal projections -- Matrix operations in the simplex -- Perturbation-linear combination of compositions -- Linear transformations of SD: endomorphisms -- Other matrix transformations on SD: nonlinear transformations -- Coordinates leading to alternative Euclidean structures -- Exercises -- Exploratory Data Analysis -- General remarks -- Sample center, total variance, and variation matrix -- Centering and scaling -- The biplot: a graphical display -- Construction of a biplot -- Interpretation of a 2D compositional biplot -- Exploratory analysis of coordinates -- A geological example -- Linear trends along principal components -- A nutrition example -- A political example -- Exercises -- Random Compositions -- Sample space -- Conventional approach to the sample space of compositions -- A compositional approach to the sample space of compositions -- Definitions related to random compositions -- Variability and center -- Probability distributions on the simplex -- The normal distribution on the simplex -- The Dirichlet distribution -- Other distributions -- Exercises -- Statistical Inference -- Point estimation of center and variability -- Testing hypotheses on compositional normality -- Testing hypotheses about two populations -- Probability and confidence regions for normal data -- Bayesian estimation with count data -- Exercises -- Linear Models -- Linear regression with compositional response -- Regression with compositional covariates -- Analysis of variance with compositional response -- Linear discrimination with compositional predictor -- Exercises -- Compositional Processes -- Linear processes -- Mixture processes -- Settling processes -- Simplicial derivative -- Elementary differential equations -- Constant derivative -- Forced derivative -- Complete first-order linear equation -- Harmonic oscillator -- Exercises -- Epilogue
0

ACQUISITION INFORMATION NOTE

Source for Acquisition/Subscription Address
Safari Books Online
Stock Number
CL0500000592

OTHER EDITION IN ANOTHER MEDIUM

Title
Modelling and analysis of compositional data.
International Standard Book Number
9781118443064

TOPICAL NAME USED AS SUBJECT

Geometric analysis.
Mathematical statistics.
Multivariate analysis.

(SUBJECT CATEGORY (Provisional

MAT-- 003000
MAT-- 029000

DEWEY DECIMAL CLASSIFICATION

Number
519
.
5/35
Edition
23

LIBRARY OF CONGRESS CLASSIFICATION

Class number
QA278

PERSONAL NAME - PRIMARY RESPONSIBILITY

Pawlowsky-Glahn, Vera.

PERSONAL NAME - ALTERNATIVE RESPONSIBILITY

Egozcue, Juan J.,1950-
Tolosana-Delgado, Raimon.

CORPORATE BODY NAME - ALTERNATIVE RESPONSIBILITY

Ohio Library and Information Network.

ORIGINATING SOURCE

Date of Transaction
20160603085334.2
Cataloguing Rules (Descriptive Conventions))
pn

ELECTRONIC LOCATION AND ACCESS

Electronic name
 مطالعه متن کتاب 

[Book]

Y

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