Online-Ressource
Verfasst von:	Almudevar, Anthony [VerfasserIn]
Titel:	Theory of statistical inference
Verf.angabe:	Anthony Almudevar
Ausgabe:	First edition
Verlagsort:	Boca Raton
Verlag:	London
Jahr:	2022
Umfang:	1 Online-Ressource (xii, 457 Seiten)
Gesamttitel/Reihe:	Texts in statistical science
Fussnoten:	Description based on publisher supplied metadata and other sources
ISBN:	978-1-000-48807-4
Abstract:	Cover -- Half Title -- Series Page -- Title Page -- Copyright Page -- Contents -- Preface -- 1. Distribution Theory -- 1.1. Introduction -- 1.2. Probability Measures -- 1.3. Some Important Theorems of Probability -- 1.4. Commonly Used Distributions -- 1.5. Stochastic Order Relations -- 1.6. Quantiles -- 1.7. Inversion of the CDF -- 1.8. Transformations of Random Variables -- 1.9. Moment Generating Functions -- 1.10. Moments and Cumulants -- 1.11. Problems -- 2. Multivariate Distributions -- 2.1. Introduction -- 2.2. Parametric Classes of Multivariate Distributions -- 2.3. Multivariate Transformations -- 2.4. Order Statistics -- 2.5. Quadratic Forms, Idempotent Matrices and Cochran's Theorem -- 2.6. MGF and CGF of Independent Sums -- 2.7. Multivariate Extensions of the MGF -- 2.8. Problems -- 3. Statistical Models -- 3.1. Introduction -- 3.2. Parametric Families for Statistical Inference -- 3.3. Location-Scale Parameter Models -- 3.4. Regular Families -- 3.5. Fisher Information -- 3.6. Exponential Families -- 3.7. Sufficiency -- 3.8. Complete and Ancillary Statistics -- 3.9. Conditional Models and Contingency Tables -- 3.10. Bayesian Models -- 3.11. Indifference, Invariance and Bayesian Prior Distributions -- 3.12. Nuisance Parameters -- 3.13. Principles of Inference -- 3.14. Problems -- 4. Methods of Estimation -- 4.1. Introduction -- 4.2. Unbiased Estimators -- 4.3. Method of Moments Estimators -- 4.4. Sample Quantiles and Percentiles -- 4.5. Maximum Likelihood Estimation -- 4.6. Confidence Sets -- 4.7. Equivariant Versus Shrinkage Estimation -- 4.8. Bayesian Estimation -- 4.9. Problems -- 5. Hypothesis Testing -- 5.1. Introduction -- 5.2. Basic Definitions -- 5.3. Principles of Hypothesis Tests -- 5.4. The Observed Level of Significance (P-Values) -- 5.5. One- and Two-Sided Tests -- 5.6. Unbiasedness and Stochastic Ordering.
URL:	Aggregator: https://ebookcentral.proquest.com/lib/kxp/detail.action?docID=6825670
Schlagwörter:	(s)Inferenzstatistik    / (s)Statistisches Modell    / (s)Statistische Entscheidungstheorie    / (s)Unverzerrte Schätzung mit kleinster Varianz    / (s)Neyman-Pearson-Lemma    / (s)Grenzwertsatz    / (s)Asymptotische Statistik
Datenträger:	Online-Ressource
Sprache:	eng
Bibliogr. Hinweis:	Erscheint auch als : Druck-Ausgabe: Almudevar, Anthony: Theory of statistical inference. - First edition. - Boca Raton : CRC Press, Taylor & Francis Group, 2022. - xii, 457 Seiten
Sach-SW:	Electronic books
K10plus-PPN:	1782501371
	Universitätsbibliothek
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