Methodology and Applications of Statistics A Volume in Honor of Rao on the Occasion of his 100th Birthday 1st editon by Barry Arnold, Narayanaswamy Balakrishnan, Carlos Coelho – Ebook PDF Instant Download/Delivery: 3030836703, 9783030836702
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ISBN 10: 3030836703
ISBN 13: 9783030836702
Author: Barry C. Arnold, Narayanaswamy Balakrishnan, Carlos A. Coelho
Dedicated to one of the most outstanding researchers in the field of statistics, this volume in honor of C.R. Rao, on the occasion of his 100th birthday, provides a bird’s-eye view of a broad spectrum of research topics, paralleling C.R. Rao’s wide-ranging research interests. The book’s contributors comprise a representative sample of the countless number of researchers whose careers have been influenced by C.R. Rao, through his work or his personal aid and advice. As such, written by experts from more than 15 countries, the book’s original and review contributions address topics including statistical inference, distribution theory, estimation theory, multivariate analysis, hypothesis testing, statistical modeling, design and sampling, shape and circular analysis, and applications. The book will appeal to statistics researchers, theoretical and applied alike, and PhD students. Happy Birthday, C.R. Rao!
Methodology and Applications of Statistics A Volume in Honor of Rao on the Occasion of his 100th Birthday 1st Table of contents:
Part I. Inference
Robust Statistical Inference for One-Shot Devices Based on Density Power Divergences: An Overview
Statistical Meaning of Mean Functions: A Novel Matrix Mean Derived from Fisher Information
The Legend of the Equality of OLSE and BLUE: Highlighted by C. R. Rao in 1967
Comparison of Local Powers of Some Exact Tests for a Common Normal Mean with Unequal Variances
Quantile Function: Overview of Collaboration with Professor C. R. Rao
Part II. Distribution Theory
Some Bivariate and Multivariate Models Involving Independent Gamma Distributed Components
An Absolute Continuous Bivariate Inverse Generalized Exponential Distribution: Properties, Inference and Extensions
Part III. Multivariate Analysis
The Likelihood Ratio Test of Equality of Mean Vectors with a Doubly Exchangeable Covariance Matrix
Bilinear Regression with Rank Restrictions on the Mean and Dispersion Matrix
Limiting Canonical Distribution of Two Large-Dimensional Random Vectors
Contributions to Multivariate Analysis Due to C. R. Rao and Associated Developments
On Testing Structures of the Covariance Matrix: A Non-normal Approach
Part IV. Design and Sampling
The Existence of Perpendicular Multi-arrays
Statistical Design Issues for fMRI Studies: A Beginner’s Training Manual
A Review of Rigorous Randomized Response Methods for Protecting Respondent’s Privacy and Data Confidentiality
Part V. Shape and Circular Analysis
A Statistical Analysis of the Cardioid Radial Growth Model
A Flexible Family of Mixed Distributions for Discrete Linear and Continuous Circular Random Variables
Tests of Fit for Wrapped Stable Distributions Based on the Characteristic Function
Part VI. Applications
Partial Differential Equation Models and Riemann–Stieltjes Integrals in Measuring Sustainability
Extreme Point Methodology in Power Calculations—The Case of Hardy–Weinberg Equilibrium
Part VII. General
On the Association of Professor C. R. Rao with the Poznań School of Mathematical Statistics and Biometry
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Barry Arnold,Narayanaswamy Balakrishnan,Carlos Coelho