03287nam 2200469 450 99649034810331620230726174852.09784431557845(electronic bk.)9784431557838(MiAaPQ)EBC7080419(Au-PeEL)EBL7080419(CKB)24779144500041(PPN)264955471(EXLCZ)992477914450004120230202d2022 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierStatistical causal discovery LiNGAM approach /Shohei ShimizuTokyo, Japan :Springer,[2022]©20221 online resource (99 pages)SpringerBriefs in statistics. JSS research series in statisticsPrint version: Shimizu, Shohei Statistical Causal Discovery: LiNGAM Approach Tokyo : Springer Japan,c2022 9784431557838 Includes bibliographical references.Intro -- 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.SpringerBriefs in statistics.JSS research series in statistics.Mathematical statisticsEstadística matemàticathubLlibres electrònicsthubMathematical statistics.Estadística matemàtica519.5Shimizu Shōhei1256310MiAaPQMiAaPQMiAaPQ996490348103316Statistical Causal Discovery2912214UNISA