Asymptotic statistical inference : a basic course using R / / Shailaja Deshmukh, Madhuri Kulkarni

• Autore: Deshmukh Shailaja
• Pubblicazione: Singapore : , : Springer, , [2021]; ©2021
• Descrizione fisica: 1 online resource (540 pages)
• Disciplina: 519.5
• Soggetto topico: Mathematical statistics - Asymptotic theory; R (Computer program language); Estadística matemàtica
• Soggetto genere / forma: Llibres electrònics
• Persona (resp. second.): KulkarniMadhuri
• Nota di contenuto: Intro -- Preface -- Contents -- About the Authors -- List of Figures -- List of Tables -- 1 Introduction -- 1.1 Introduction -- 1.2 Basics of Parametric Inference -- 1.3 Basics of Asymptotic Inference -- 1.4 Introduction to R Software and Language -- 2 Consistency of an Estimator -- 2.1 Introduction -- 2.2 Consistency: Real Parameter Setup -- 2.3 Strong Consistency -- 2.4 Uniform Weak and Strong Consistency -- 2.5 Consistency: Vector Parameter Setup -- 2.6 Performance of a Consistent Estimator -- 2.7 Verification of Consistency Using R -- 2.8 Conceptual Exercises -- 2.9 Computational Exercises -- 3 Consistent and Asymptotically Normal Estimators -- 3.1 Introduction -- 3.2 CAN Estimator: Real Parameter Setup -- 3.3 CAN Estimator: Vector Parameter Setup -- 3.4 Verification of CAN Property Using R -- 3.5 Conceptual Exercises -- 3.6 Computational Exercises -- 4 CAN Estimators in Exponential and Cramér Families -- 4.1 Introduction -- 4.2 Exponential Family -- 4.3 Cramér Family -- 4.4 Iterative Procedures -- 4.5 Maximum Likelihood Estimation Using R -- 4.6 Conceptual Exercises -- 4.7 Computational Exercises -- 5 Large Sample Test Procedures -- 5.1 Introduction -- 5.2 Likelihood Ratio Test Procedure -- 5.3 Large Sample Tests Using R -- 5.4 Conceptual Exercises -- 5.5 Computational Exercises -- 6 Goodness of Fit Test and Tests for Contingency Tables -- 6.1 Introduction -- 6.2 Multinomial Distribution and Associated Tests -- 6.3 Goodness of Fit Test -- 6.4 Score Test and Wald's Test -- 6.5 Tests for Contingency Tables -- 6.6 Consistency of a Test Procedure -- 6.7 Large Sample Tests Using R -- 6.8 Conceptual Exercises -- 6.9 Computational Exercises -- 7 Solutions to Conceptual Exercises -- 7.1 Chapter 2 -- 7.2 Chapter 3 -- 7.3 Chapter 4 -- 7.4 Chapter 5 -- 7.5 Chapter 6 -- 7.6 Multiple Choice Questions -- 7.6.1 Chapter 2: Consistency of an Estimator. ; 7.6.2 Chapter 3: Consistent and Asymptotically Normal Estimators -- 7.6.3 Chapter 4: CAN Estimators in Exponential and Cramér Families -- 7.6.4 Chapter 5: Large Sample Test Procedures -- 7.6.5 Chapter 6: Goodness of Fit Test and Tests for Contingency Tables -- Appendix *-1.6pcIndex -- Index.
• Titolo autorizzato: Asymptotic Statistical Inference
• ISBN: 981-15-9003-6
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 996466392603316
• Lo trovi qui: Univ. di Salerno