1.

Record Nr.

UNINA9910736008903321

Autore

Bapat Ravindra B

Titolo

Applied Linear Algebra, Probability and Statistics : A Volume in Honour of C. R. Rao and Arbind K. Lal / / edited by Ravindra B. Bapat, Manjunatha Prasad Karantha, Stephen J. Kirkland, Samir Kumar Neogy, Sukanta Pati, Simo Puntanen

Pubbl/distr/stampa

Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2023

ISBN

981-9923-10-7

Edizione

[1st ed. 2023.]

Descrizione fisica

1 online resource (540 pages)

Collana

Indian Statistical Institute Series, , 2523-3122

Altri autori (Persone)

KaranthaManjunatha Prasad

KirklandStephen J

NeogySamir Kumar

PatiSukanta

PuntanenSimo

Disciplina

512.5

Soggetti

Algebras, Linear

Probabilities

Statistics

Graph theory

Stochastic processes

Game theory

Linear Algebra

Probability Theory

Statistical Theory and Methods

Graph Theory

Stochastic Processes

Game Theory

Àlgebra lineal

Probabilitats

Estadística

Llibres electrònics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia



Nota di contenuto

Chapter 1. On Some Matrix Versions of Covariance, Harmonic Mean and other Inequalities: An Overview -- Chapter 2. The Impact of Professor C. R. Rao's Research used in solving problems in Applied Probability -- Chapter 3. Upper ounds for the Euclidean distances between the BLUEs under the partitioned linear fixed model and the corresponding mixed model -- Chapter 4. Nucleolus Computation for some Structured TU Games via Graph Theory and Linear Algebra -- Chapter 5. From Linear System of Equations to Artificial Intelligence - The evolution Journey of Computer Tomographic Image Reconstruction Algorithms -- Chapter 6. Shapley Value and other Axiomatic Extensions to Shapley Value -- Chapter 7. An Accelerated Block Randomized Kaczmarz Methos -- Chapter 8. Nullity of Graphs - A Survey and Some New Results -- Chapter 9. Some Observations on Algebraic Connectivity of Graphs -- Chapter 10. Orthogonality for iadjoints f Operators -- Chapter 11. Permissible covariance structures for simultaneous retention of BLUEs in small and big linear models -- Chapter 12. On some Special Matrices and its Applications in Linear Complementarity Problem -- Chapter 3. On Nearest Matrix with Partially Specified Eigen Structure -- Chapter 14. Equality of BLUEs for Full, Small, and Intermediate Linear Models under Covariance Change, with links to Data Confidentiality and Encryption.-Chapter 15. Statistical Inference for Middle Censored Data with Applications. etc.

Sommario/riassunto

This book focuses on research in linear algebra, statistics, matrices, graphs and their applications. Many chapters in the book feature new findings due to applications of matrix and graph methods. The book also discusses rediscoveries of the subject by using new methods. Dedicated to Prof. Calyampudi Radhakrishna Rao (C.R. Rao) who has completed 100 years of legendary life and continues to inspire us all and Prof. Arbind K. Lal who has sadly departed us too early, it has contributions from collaborators, students, colleagues and admirers of Professors Rao and Lal. With many chapters on generalized inverses, matrix analysis, matrices and graphs, applied probability and statistics, and the history of ancient mathematics, this book offers a diverse array of mathematical results, techniques and applications. The book promises to be especially rewarding for readers with an interest in the focus areas of applied linear algebra, probability and statistics.