LEADER 03287nam 2200469 450 001 996490348103316 005 20230726174852.0 010 $a9784431557845$b(electronic bk.) 010 $z9784431557838 035 $a(MiAaPQ)EBC7080419 035 $a(Au-PeEL)EBL7080419 035 $a(CKB)24779144500041 035 $a(PPN)264955471 035 $a(EXLCZ)9924779144500041 100 $a20230202d2022 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aStatistical causal discovery $eLiNGAM approach /$fShohei Shimizu 210 1$aTokyo, Japan :$cSpringer,$d[2022] 210 4$d©2022 215 $a1 online resource (99 pages) 225 1 $aSpringerBriefs in statistics. JSS research series in statistics 311 08$aPrint version: Shimizu, Shohei Statistical Causal Discovery: LiNGAM Approach Tokyo : Springer Japan,c2022 9784431557838 320 $aIncludes bibliographical references. 327 $aIntro -- Preface -- Contents -- Acronyms -- 1 Introduction -- 1.1 A Starting Point for Causal Inference -- 1.2 Framework of Causal Inference -- 1.3 Identification and Estimation of the Magnitude of Causation -- 1.4 Identification and Estimation of Causal Structures -- 1.5 Concluding Remarks -- References -- Part I Basics of LiNGAM Approach -- 2 Basic LiNGAM Model -- 2.1 Independent Component Analysis -- 2.2 LiNGAM Model -- 2.3 Identifiability of the LiNGAM model -- 2.4 Concluding Remarks -- References -- 3 Estimation of the Basic LiNGAM Model -- 3.1 ICA-Based LiNGAM Algorithm -- 3.2 DirectLiNGAM Algorithm -- 3.3 Multigroup Analysis -- 3.3.1 LiNGAM Model for Multiple Groups -- 3.3.2 DirectLiNGAM Algorithm for Multiple LiNGAMs -- 3.4 Concluding Remarks -- References -- 4 Evaluation of Statistical Reliability and Model Assumptions -- 4.1 Evaluation of Statistical Reliability -- 4.1.1 A Bootstrap Approach -- 4.1.2 Bootstrap Probability -- 4.1.3 Multiscale Bootstrap for LiNGAM -- 4.2 Evaluation of Model Assumptions -- References -- Part II Extended Models -- 5 LiNGAM with Hidden Common Causes -- 5.1 Identification and Estimation of Causal Structures of Confounded Variables -- 5.1.1 LiNGAM Model with Hidden Common Causes -- 5.1.2 Identification Based on Independent Component Analysis -- 5.1.3 Estimation Based on Independent Component Analysis -- 5.2 Identification and Estimation of Causal Structures of Unconfounded Variables -- 5.3 Other Hidden Variable Models -- 5.3.1 LiNGAM Model for Latent Factors -- 5.3.2 LiNGAM Model in the Presence of Latent Classes -- References -- 6 Other Extensions -- 6.1 Cyclic Models -- 6.2 Time-Series Models -- 6.3 Nonlinear Models -- 6.4 Discrete Variable Models -- References. 410 0$aSpringerBriefs in statistics.$pJSS research series in statistics. 606 $aMathematical statistics 606 $aEstadística matemàtica$2thub 608 $aLlibres electrònics$2thub 615 0$aMathematical statistics. 615 7$aEstadística matemàtica 676 $a519.5 700 $aShimizu$b Sho?hei$01256310 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 912 $a996490348103316 996 $aStatistical Causal Discovery$92912214 997 $aUNISA