LEADER 05250nam 22008655 450 001 9910736008903321 005 20240508193850.0 010 $a981-9923-10-7 024 7 $a10.1007/978-981-99-2310-6 035 $a(MiAaPQ)EBC30670577 035 $a(Au-PeEL)EBL30670577 035 $a(DE-He213)978-981-99-2310-6 035 $a(PPN)272254002 035 $a(CKB)27899965500041 035 $a(EXLCZ)9927899965500041 100 $a20230731d2023 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aApplied Linear Algebra, Probability and Statistics $eA Volume in Honour of C. R. Rao and Arbind K. Lal /$fedited by Ravindra B. Bapat, Manjunatha Prasad Karantha, Stephen J. Kirkland, Samir Kumar Neogy, Sukanta Pati, Simo Puntanen 205 $a1st ed. 2023. 210 1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2023. 215 $a1 online resource (540 pages) 225 1 $aIndian Statistical Institute Series,$x2523-3122 311 08$aPrint version: Bapat, Ravindra B. Applied Linear Algebra, Probability and Statistics Singapore : Springer,c2023 9789819923090 327 $aChapter 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. 330 $aThis book focuses on research in linear algebra, statistics, matrices, graphs and their applications. Many chapters in the book feature new findings due to applications of matrix and graph methods. The book also discusses rediscoveries of the subject by using new methods. Dedicated to Prof. Calyampudi Radhakrishna Rao (C.R. Rao) who has completed 100 years of legendary life and continues to inspire us all and Prof. Arbind K. Lal who has sadly departed us too early, it has contributions from collaborators, students, colleagues and admirers of Professors Rao and Lal. With many chapters on generalized inverses, matrix analysis, matrices and graphs, applied probability and statistics, and the history of ancient mathematics, this book offers a diverse array of mathematical results, techniques and applications. The book promises to be especially rewarding for readers with an interest in the focus areas of applied linear algebra, probability and statistics. 410 0$aIndian Statistical Institute Series,$x2523-3122 606 $aAlgebras, Linear 606 $aProbabilities 606 $aStatistics 606 $aGraph theory 606 $aStochastic processes 606 $aGame theory 606 $aLinear Algebra 606 $aProbability Theory 606 $aStatistical Theory and Methods 606 $aGraph Theory 606 $aStochastic Processes 606 $aGame Theory 606 $aÀlgebra lineal$2thub 606 $aProbabilitats$2thub 606 $aEstadística$2thub 608 $aLlibres electrònics$2thub 615 0$aAlgebras, Linear. 615 0$aProbabilities. 615 0$aStatistics. 615 0$aGraph theory. 615 0$aStochastic processes. 615 0$aGame theory. 615 14$aLinear Algebra. 615 24$aProbability Theory. 615 24$aStatistical Theory and Methods. 615 24$aGraph Theory. 615 24$aStochastic Processes. 615 24$aGame Theory. 615 7$aÀlgebra lineal 615 7$aProbabilitats 615 7$aEstadística 676 $a512.5 700 $aBapat$b Ravindra B$0147505 701 $aKarantha$b Manjunatha Prasad$01380129 701 $aKirkland$b Stephen J$01380130 701 $aNeogy$b Samir Kumar$01380131 701 $aPati$b Sukanta$01380132 701 $aPuntanen$b Simo$01060842 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910736008903321 996 $aApplied Linear Algebra, Probability and Statistics$93421426 997 $aUNINA