Statistical causal discovery : LiNGAM approach / / Shohei Shimizu

• Record Nr.: UNISA996490348103316
• Autore: Shimizu Shōhei
• Pubbl/distr/stampa: Tokyo, Japan : , : Springer, , [2022]; ©2022
• ISBN: 9784431557845; 9784431557838
• Descrizione fisica: 1 online resource (99 pages)
• Collana: SpringerBriefs in statistics. JSS research series in statistics
• Disciplina: 519.5
• Soggetti: Mathematical statistics; Estadística matemàtica; Llibres electrònics
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: 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.