Extension of measures with applications to probability and statistics:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
München
Oldenbourg
2000
|
| Series: | [Statistics and decisions / Supplement issue]
5 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | V, 169 S. |
| ISBN: | 3486642685 |
Staff View
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Record in the Search Index
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| adam_text | Titel: Extension of measures with applications to probability and statistics
Autor: Plachky, Detlef
Jahr: 2000
Contents
1 Probabilistic Aspects of Extensions of Measures
Existence of Extensions of Probability Measures
Probabilistic Characterization of Unique Estensions of
Probability Measures
Characterization of Extremal Extensions of Probability Measures
Characterization of Unique Extension of Probability
Measures in Connection with Finite Transformation
Groups under a Measurability Assumption
Characterization of Unique Extension of Probability
Measures in Connection with Finite Transformation
Groups under a Separability Condition
Characterization of Unique and Extremal Extensions
of Non-Negative, Finite, and Finitely Additive Set Functions
Characterization of Discrete Probability Measures
by Completion Regularity
A Non-Uniform Version of the Theorem of
Radon-Nikoclym in the Finitely Additive Case
Conservation of Atomlessness of Probability Measures
Under Extensions
Measure Theoretical Characterization of Separability of the Space
of All Continuous and Bounded Functions on Some Metric Space
Characterization of Compactness of Metric Spaces by
a-Additivity of Probability Charges
Existence of Majorized Extensions of Finite, Finitely
Additive Measures
iv
Extension Theoretical Version of Riesz Type Decomposition
for Finite, Finitely Additive Measures 52
Existence of Absolutely Continuous Extensions of Finite,
Finitely Additive Measures 54
Characterization of Extremal Extensions of Finite,
a-Additive Measures in the Majorized Case 57
Characterization of Unique Extension of Finite,
a-Additive Measures in the Majorized Case 58
Characterization of Finite, o-Additive Measures
Admitting no Positive Approximate Minorant 60
Unique Decomposition of Finite, a-Additive Measures into
a Sum of Approximate Measures and a Uniformly Atomless Measure 62
Characterization of Semijinite Measures with the Lebesgue
Decomposition Property 77
Refinement of Classical Premeasure Extensions 79
Ideal Theoretic Characterization of Finite Algebras of
Subsets of a non-empty Set by the Property of Finite
Generation of Maximal Ideals 83
Ideal Theoretic Characterization of a-Algebras Admitting
no {0, }-Valued Probability Measure Vanishing at all Atoms 85
Functional Analytical Characterization of Ulam Measurability 91
2 Statistical Aspects of Extensions of Probability Measures 93
Estimation Theoretical Characterization of the Existence
and Uniqueness of Real-Valued, Sufficient and Complete
Data Compressions 105
EstimationThcoretical Characterization of the Existence of
a Sufficient, Complete, and Countably Generated
Sub-a-Algebra 106
Characterization of Unbiased Estimators of Zero in Connection
with the Extension Model 120
Conservation of the Property of some Estimator to the UMVU
under Extensions of Probability Measures 121
Estimation Theoretical Characterization of Extremal Extensions
of Probability M ensures 123
Decomposition Theoretical Characterization of Sufficiency
and Completeness j 3 j
Decomposition Theoretical Properties of Statistical Experiments 133
Decomposition Theoretical Properties of Power Series Distributions 138
Estimation Theoretical Characterization of Conservation of
Optimality and of Completeness 141
Preservation of Conservation of Optimality and Completeness
under Direct Products of Statistical Experiments 142
Geometric Characterization of the Regions of Risk for Testing
Simple Hypotheses 144
Maximin Tests in Connection with Hypotheses Induced by
Extensions of Probability Measures 151
Characterization of UMP Tests in Connection with Hypotheses
Induced by Extensions of Probability Measures 152
Conservation of the Maximin Property of Tests Under Extensions
of Probability Measures 154
Bibliography 157
List of Examples 161
List of Remarks 164
Index 167
|
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| spelling | Plachky, Detlef Verfasser aut Extension of measures with applications to probability and statistics by D. Plachky München Oldenbourg 2000 V, 169 S. txt rdacontent n rdamedia nc rdacarrier [Statistics and decisions / Supplement issue] 5 Meetbaarheid gtt Statistische methoden gtt Estimation theory Mathematical statistics Probability measures Schätztheorie (DE-588)4121608-8 gnd rswk-swf Statistik (DE-588)4056995-0 gnd rswk-swf Maßtheorie (DE-588)4074626-4 gnd rswk-swf Stochastik (DE-588)4121729-9 gnd rswk-swf (DE-588)4143413-4 Aufsatzsammlung gnd-content Maßtheorie (DE-588)4074626-4 s DE-604 Statistik (DE-588)4056995-0 s Stochastik (DE-588)4121729-9 s Schätztheorie (DE-588)4121608-8 s Supplement issue] [Statistics and decisions 5 (DE-604)BV000014050 5 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009091942&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Plachky, Detlef Extension of measures with applications to probability and statistics Meetbaarheid gtt Statistische methoden gtt Estimation theory Mathematical statistics Probability measures Schätztheorie (DE-588)4121608-8 gnd Statistik (DE-588)4056995-0 gnd Maßtheorie (DE-588)4074626-4 gnd Stochastik (DE-588)4121729-9 gnd |
| subject_GND | (DE-588)4121608-8 (DE-588)4056995-0 (DE-588)4074626-4 (DE-588)4121729-9 (DE-588)4143413-4 |
| title | Extension of measures with applications to probability and statistics |
| title_auth | Extension of measures with applications to probability and statistics |
| title_exact_search | Extension of measures with applications to probability and statistics |
| title_full | Extension of measures with applications to probability and statistics by D. Plachky |
| title_fullStr | Extension of measures with applications to probability and statistics by D. Plachky |
| title_full_unstemmed | Extension of measures with applications to probability and statistics by D. Plachky |
| title_short | Extension of measures with applications to probability and statistics |
| title_sort | extension of measures with applications to probability and statistics |
| topic | Meetbaarheid gtt Statistische methoden gtt Estimation theory Mathematical statistics Probability measures Schätztheorie (DE-588)4121608-8 gnd Statistik (DE-588)4056995-0 gnd Maßtheorie (DE-588)4074626-4 gnd Stochastik (DE-588)4121729-9 gnd |
| topic_facet | Meetbaarheid Statistische methoden Estimation theory Mathematical statistics Probability measures Schätztheorie Statistik Maßtheorie Stochastik Aufsatzsammlung |
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