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Record Nr. |
UNISA996466392603316 |
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Autore |
Deshmukh Shailaja |
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Titolo |
Asymptotic statistical inference : a basic course using R / / Shailaja Deshmukh, Madhuri Kulkarni |
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Pubbl/distr/stampa |
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Singapore : , : Springer, , [2021] |
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©2021 |
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ISBN |
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Descrizione fisica |
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1 online resource (540 pages) |
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Disciplina |
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Soggetti |
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Mathematical statistics - Asymptotic theory |
R (Computer program language) |
Estadística matemàtica |
Llibres electrònics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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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 |
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