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  • 1
    Book
    Book
    Berlin u.a. :de Gruyter,
    UID:
    almafu_BV009686531
    Format: XIII, 374 S. : graph. Darst.
    ISBN: 3-11-013863-8 , 3-11-014030-6
    Series Statement: De Gruyter textbook
    Note: Literaturverz. S. [345] - 359
    Language: English
    Subjects: Mathematics
    RVK:
    RVK:
    Keywords: Statistik ; Parameterschätzung
    Author information: Pfanzagl, Johann 1928-2019
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    Online Resource
    Online Resource
    Berlin ;New York : W. de Gruyter
    UID:
    almahu_9947360000702882
    Format: Online-Ressource (xiii, 374 p) , ill
    Edition: Online-Ausg. Palo Alto, Calif ebrary 2011 Electronic reproduction; Available via World Wide Web
    ISBN: 3110138638 (pbk. : acid-free paper) , 3110140306 (acid-free paper) , 9783110140309 (acid-free paper) , 9783110889765
    Series Statement: De Gruyter textbook
    Content: Parametric Statistical Theory
    Note: Includes bibliographical references (p. [345]-359) and indexes , 2.4 Concentration of multivariate estimators2.5 Evaluating estimators by loss functions; 2.6 The relative efficiency of estimators; 2.7 Examples on the evaluation of estimators; Chapter 3 Mean unbiased estimators and convex loss functions; 3.1 Introduction; 3.2 The Rao-Blackwell-Lehmann-Scheffé-Theorem; 3.3 Examples of mean unbiased estimators with minimal convex risk; 3.4 Mean unbiased estimation of probabilities; 3.5 A result on bounded mean unbiased estimators; Chapter 4 Testing hypotheses; 4.1 Basic concepts; 4.2 Critical functions, critical regions; 4.3 The Neyman-Pearson Lemma. , 4.4 Optimal tests for composite hypotheses4.5 Optimal tests for families with monotone likelihood ratios; 4.6 Tests of Neyman structure; 4.7 Most powerful similar tests for a real parameter in the presence of a nuisance parameter; Chapter 5 Confidence procedures; 5.1 Basic concepts; 5.2 The evaluation of confidence procedures; 5.3 The construction of one-sided confidence bounds and median unbiased estimators; 5.4 Optimal one-sided confidence bounds and median unbiased estimators; 5.5 Optimal one-sided confidence bounds and median unbiased estimators in the presence of a nuisance parameter. , 5.6 Examples of maximally concentrated confidence boundsChapter 6 Consistent estimators; 6.1 Introduction; 6.2 A general consistency theorem; 6.3 Consistency of M-estimators; 6.4 Consistent solutions of estimating equations; 6.5 Consistency of maximum likelihood estimators; 6.6 Examples of ML estimators; 6.7 Appendix: Uniform integrability, stochastic convergence and measurable selection; Chapter 7 Asymptotic distributions of estimator sequences; 7.1 Limit distributions; 7.2 How to deal with limit distributions; 7.3 Asymptotic confidence bounds; 7.4 Solutions to estimating equations. , 7.5 The limit distribution of ML estimator sequences7.6 Stochastic approximations to estimator sequences; 7.7 Appendix: Weak convergence; Chapter 8 Asymptotic bounds for the concentration of estimators and confidence bounds; 8.1 Introduction; 8.2 Regular sequences of confidence bounds and median unbiased estimators; 8.3 Sequences of confidence bounds and median unbiased estimators with limit distributions; 8.4 The convolution theorem; 8.5 Maximally concentrated limit distributions; 8.6 Superefficiency; Chapter 9 Miscellaneous results on asymptotic distributions; 9.1 Examples of ML estimators. , 9.2 Tolerance bounds. , Preface; Introduction; Chapter 1 Sufficiency and completeness; 1.1 Introduction; 1.2 Sufficiency and factorization of densities; 1.3 Sufficiency and exhaustivity; 1.4 Minimal sufficiency; 1.5 Completeness; 1.6 Exponential families; 1.7 Auxiliary results on families with monotone likelihood ratios; 1.8 Ancillary statistics; 1.9 Equivariance and invariance; 1.10 Appendix: Conditional expectations, conditional distributions; Chapter 2 The evaluation of estimators; 2.1 Introduction; 2.2 Unbiasedness of estimators; 2.3 The concentration of real valued estimators.
    Language: English
    URL: Cover
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  • 3
    Online Resource
    Online Resource
    Berlin ;Boston :De Gruyter,
    UID:
    edocfu_9958355162902883
    Format: 1 online resource (387p.): , Num. figs.
    Edition: Reprint 2011
    ISBN: 9783110889765
    Series Statement: De Gruyter Textbook
    Note: Frontmatter -- , Chapter 1 Sufficiency and completeness -- , Chapter 2 The evaluation of estimators -- , Chapter 3 Mean unbiased estimators and convex loss functions -- , Chapter 4 Testing hypotheses -- , Chapter 5 Confidence procedures -- , Chapter 6 Consistent estimators -- , Chapter 7 Asymptotic distributions of estimator sequences -- , Chapter 8 Asymptotic bounds for the concentration of estimators and confidence bounds -- , Chapter 9 Miscellaneous results on asymptotic distributions -- , Chapter 10 Asymptotic test theory -- , References -- , Author Index -- , Subject Index -- , Notation Index , In English.
    Additional Edition: ISBN 978-3-11-014030-9
    Language: English
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  • 4
    Book
    Book
    Berlin : de Gruyter
    UID:
    gbv_153736453
    Format: XIII, 374 S , graph. Darst , 23 cm
    ISBN: 3110138638 , 3110140306
    Series Statement: De Gruyter textbook
    Note: Literaturverz. S. [345] - 359
    Additional Edition: Online-Ausg. Pfanzagl, Johann, 1928 - 2019 Parametric Statistical Theory Berlin ;New York : W. de Gruyter, 2011 ISBN 9783110889765
    Additional Edition: Erscheint auch als Online-Ausgabe Pfanzagl, Johann, 1928 - 2019 Parametric Statistical Theory. Berlin/Boston : De Gruyter, Inc., 2011 ISBN 9783110889765
    Language: English
    Subjects: Economics , Mathematics
    RVK:
    RVK:
    RVK:
    Keywords: Parameterschätzung ; Schätztheorie
    Author information: Pfanzagl, Johann 1928-2019
    Library Location Call Number Volume/Issue/Year Availability
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  • 5
    Online Resource
    Online Resource
    Berlin ; : De Gruyter,
    UID:
    almahu_9949460991502882
    Format: 1 online resource (374 p.) : , Num. figs.
    Edition: Reprint 2011
    ISBN: 9783110889765 , 9783110637199
    Series Statement: De Gruyter Textbook
    Note: Frontmatter -- , Chapter 1 Sufficiency and completeness -- , Chapter 2 The evaluation of estimators -- , Chapter 3 Mean unbiased estimators and convex loss functions -- , Chapter 4 Testing hypotheses -- , Chapter 5 Confidence procedures -- , Chapter 6 Consistent estimators -- , Chapter 7 Asymptotic distributions of estimator sequences -- , Chapter 8 Asymptotic bounds for the concentration of estimators and confidence bounds -- , Chapter 9 Miscellaneous results on asymptotic distributions -- , Chapter 10 Asymptotic test theory -- , References -- , Author Index -- , Subject Index -- , Notation Index , Mode of access: Internet via World Wide Web. , In English.
    In: DGBA Mathematics - 1990 - 1999, De Gruyter, 9783110637199
    In: E-DITION: BEST OF MATHEMATICS, De Gruyter, 9783110233957
    Additional Edition: ISBN 9783110140309
    Language: English
    Subjects: Mathematics
    RVK:
    URL: Cover
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