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Uncertainty theory: with 4 tables

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Bibliographic Details
Main Author:	Liu, Baoding 1965- (Author)
Format:	Book
Language:	English
Published:	Berlin [u.a.] Springer 2007
Edition:	2. ed.
Series:	Studies in fuzziness and soft computing 154
Subjects:	Fuzzy-Wahrscheinlichkeit Fuzzy-Zufallsvariable Ungewissheit - Axiom Fuzzy statistics Probabilities Uncertainty (Information theory) Fuzzy-Menge Mathematisches Modell Axiomatik Wahrscheinlichkeitstheorie Ungewissheit Grobmenge
Online Access:	Inhaltsverzeichnis
Item Description:	Literaturverz. S. 237 - 251
Physical Description:	X, 255 S. 24 cm
ISBN:	9783540731641

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MARC


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Record in the Search Index

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adam_text	BAODING LIU UNCERTAINTY THEORY SECOND EDITION WITH 10 FIGURES AND 4 TABLES VQ. SPRINGER CONTENTS PREFACE IX 1 PREREQUISITES 1 1.1 MEASURABLE SETS AND MEASURE 1 1.2 BOREL SETS AND LEBESGUE MEASURE 6 1.3 MEASURABLE FUNCTIONS 10 1.4 LEBESGUE INTEGRAL 13 1.5 LEBESGUE-STIELTJES INTEGRAL 17 2 PROBABILITY THEORY , 19 2.1 PROBABILITY MEASURE 19 2.2 RANDOM VARIABLES 22 2.3 PROBABILITY DISTRIBUTION 26 2.4 INDEPENDENCE . F 31 2.5 IDENTICAL DISTRIBUTION 33 2.6 EXPECTED VALUE 34 2.7 VARIANCE 43 2.8 MOMENTS 45 2.9 CRITICAL VALUES 47 2.10 ENTROPY 49 2.11 DISTANCE 53 2.12 INEQUALITIES 53 2.13 CONVERGENCE CONCEPTS -* V ^ 2.14 CHARACTERISTIC FUNCTION . . . -. 60 2.15 LAWS OF LARGE NUMBERS 63 2.16 CENTRAL LIMIT THEOREMS 69 2.17 STOCHASTIC SIMULATIONS 73 2.18 CONDITIONAL PROBABILITY 76 3 CREDIBILITY THEORY 81 3.1 CREDIBILITY MEASURE 81 3.2 FUZZY VARIABLES 91 3.3 MEMBERSHIP FUNCTION 93 VI CONTENTS 3.4 CREDIBILITY DISTRIBUTION 97 3.5 INDEPENDENCE 102 3.6 IDENTICAL DISTRIBUTION 107 3.7 EXPECTED VALUE 108 3.8 VARIANCE 123 3.9 MOMENTS 125 3.10 CRITICAL VALUES 128 3.11 ENTROPY 132 3.12 DISTANCE 138 3.13 INEQUALITIES 140 3.14 CONVERGENCE CONCEPTS 142 3.15 CHARACTERISTIC FUNCTION 146 3.16 FUZZY SIMULATIONS 148 3.17 CONDITIONAL CREDIBILITY 150 4 CHANCE THEORY 157 4.1 CHANCE SPACE 157 4.2 HYBRID VARIABLES 159 4.3 CHANCE MEASURE 166 4.4 CHANCE DISTRIBUTION 173 4.5 EXPECTED VALUE 175 4.6 VARIANCE 179 4.7 MOMENTS 180 4.8 INDEPENDENCE . . 182 4.9 IDENTICAL DISTRIBUTION 183 4.10 CRITICAL VALUES 184 4.11 ENTROPY 186 4.12 DISTANCE 187 4.13 INEQUALITIES 188 4.14 CONVERGENCE CONCEPTS 191 4.15 CHARACTERISTIC FUNCTION 195 4.16 HYBRID SIMULATIONS 196 4.17 CONDITIONAL CHANCE 199 5 UNCERTAINTY THEORY - - 205 5.1 UNCERTAIN MEASURE 205 5.2 UNCERTAIN VARIABLES 210 5.3 UNCERTAINTY DISTRIBUTION 212 5.4 EXPECTED VALUE 213 5.5 VARIANCE 216 5.6 MOMENTS 218 5.7 INDEPENDENCE 219 5.8 IDENTICAL DISTRIBUTION 220 5.9 CRITICAL VALUES 220 5.10 ENTROPY 222 CONTENTS VII 5.11 DISTANCE 223 5.12 INEQUALITIES 223 5.13 CONVERGENCE CONCEPTS 226 5.14 CHARACTERISTIC FUNCTION 227 5.15 CONDITIONAL UNCERTAINTY 228 6 SUPPLEMENTS 235 6.1 UNCERTAIN ELEMENTS 235 6.2 UNCERTAINTY RELATIONS 236 BIBLIOGRAPHY 237 LIST OF FREQUENTLY USED SYMBOLS 252 INDEX 253
adam_txt	BAODING LIU UNCERTAINTY THEORY SECOND EDITION WITH 10 FIGURES AND 4 TABLES VQ. SPRINGER CONTENTS PREFACE IX 1 PREREQUISITES 1 1.1 MEASURABLE SETS AND MEASURE 1 1.2 BOREL SETS AND LEBESGUE MEASURE 6 1.3 MEASURABLE FUNCTIONS 10 1.4 LEBESGUE INTEGRAL 13 1.5 LEBESGUE-STIELTJES INTEGRAL 17 2 PROBABILITY THEORY , 19 2.1 PROBABILITY MEASURE 19 2.2 RANDOM VARIABLES 22 2.3 PROBABILITY DISTRIBUTION 26 2.4 INDEPENDENCE . F 31 2.5 IDENTICAL DISTRIBUTION 33 2.6 EXPECTED VALUE 34 2.7 VARIANCE 43 2.8 MOMENTS 45 2.9 CRITICAL VALUES 47 2.10 ENTROPY 49 2.11 DISTANCE 53 2.12 INEQUALITIES 53 2.13 CONVERGENCE CONCEPTS -* V ^ 2.14 CHARACTERISTIC FUNCTION . . ." -. 60 2.15 LAWS OF LARGE NUMBERS 63 2.16 CENTRAL LIMIT THEOREMS 69 2.17 STOCHASTIC SIMULATIONS 73 2.18 CONDITIONAL PROBABILITY 76 3 CREDIBILITY THEORY 81 3.1 CREDIBILITY MEASURE 81 3.2 FUZZY VARIABLES 91 3.3 MEMBERSHIP FUNCTION 93 VI CONTENTS 3.4 CREDIBILITY DISTRIBUTION 97 3.5 INDEPENDENCE 102 3.6 IDENTICAL DISTRIBUTION 107 3.7 EXPECTED VALUE 108 3.8 VARIANCE 123 3.9 MOMENTS 125 3.10 CRITICAL VALUES 128 3.11 ENTROPY 132 3.12 DISTANCE 138 3.13 INEQUALITIES 140 3.14 CONVERGENCE CONCEPTS 142 3.15 CHARACTERISTIC FUNCTION 146 3.16 FUZZY SIMULATIONS 148 3.17 CONDITIONAL CREDIBILITY 150 4 CHANCE THEORY 157 4.1 CHANCE SPACE 157 4.2 HYBRID VARIABLES 159 4.3 CHANCE MEASURE 166 4.4 CHANCE DISTRIBUTION 173 4.5 EXPECTED VALUE 175 4.6 VARIANCE 179 4.7 MOMENTS 180 4.8 INDEPENDENCE . . 182 4.9 IDENTICAL DISTRIBUTION 183 4.10 CRITICAL VALUES 184 4.11 ENTROPY 186 4.12 DISTANCE 187 4.13 INEQUALITIES 188 4.14 CONVERGENCE CONCEPTS 191 4.15 CHARACTERISTIC FUNCTION 195 4.16 HYBRID SIMULATIONS 196 4.17 CONDITIONAL CHANCE 199 5 UNCERTAINTY THEORY - - 205 5.1 UNCERTAIN MEASURE 205 5.2 UNCERTAIN VARIABLES 210 5.3 UNCERTAINTY DISTRIBUTION 212 5.4 EXPECTED VALUE 213 5.5 VARIANCE 216 5.6 MOMENTS 218 5.7 INDEPENDENCE 219 5.8 IDENTICAL DISTRIBUTION 220 5.9 CRITICAL VALUES 220 5.10 ENTROPY 222 CONTENTS VII 5.11 DISTANCE 223 5.12 INEQUALITIES 223 5.13 CONVERGENCE CONCEPTS 226 5.14 CHARACTERISTIC FUNCTION 227 5.15 CONDITIONAL UNCERTAINTY 228 6 SUPPLEMENTS 235 6.1 UNCERTAIN ELEMENTS 235 6.2 UNCERTAINTY RELATIONS 236 BIBLIOGRAPHY 237 LIST OF FREQUENTLY USED SYMBOLS 252 INDEX 253
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author	Liu, Baoding 1965-
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dewey-search	511
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discipline	Informatik Mathematik
discipline_str_mv	Informatik Mathematik
edition	2. ed.
format	Book
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physical	X, 255 S. 24 cm
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series	Studies in fuzziness and soft computing
series2	Studies in fuzziness and soft computing
spelling	Liu, Baoding 1965- Verfasser (DE-588)12374539X aut Uncertainty theory with 4 tables Baoding Liu 2. ed. Berlin [u.a.] Springer 2007 X, 255 S. 24 cm txt rdacontent n rdamedia nc rdacarrier Studies in fuzziness and soft computing 154 Literaturverz. S. 237 - 251 Fuzzy-Wahrscheinlichkeit Fuzzy-Zufallsvariable Ungewissheit - Axiom Fuzzy statistics Probabilities Uncertainty (Information theory) Fuzzy-Menge (DE-588)4061868-7 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Axiomatik (DE-588)4004038-0 gnd rswk-swf Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd rswk-swf Ungewissheit (DE-588)4137198-7 gnd rswk-swf Grobmenge (DE-588)4362502-2 gnd rswk-swf Wahrscheinlichkeitstheorie (DE-588)4079013-7 s Axiomatik (DE-588)4004038-0 s DE-604 Fuzzy-Menge (DE-588)4061868-7 s Grobmenge (DE-588)4362502-2 s 1\p DE-604 Ungewissheit (DE-588)4137198-7 s Mathematisches Modell (DE-588)4114528-8 s 2\p DE-604 Studies in fuzziness and soft computing 154 (DE-604)BV021858135 154 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016067749&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Liu, Baoding 1965- Uncertainty theory with 4 tables Studies in fuzziness and soft computing Fuzzy-Wahrscheinlichkeit Fuzzy-Zufallsvariable Ungewissheit - Axiom Fuzzy statistics Probabilities Uncertainty (Information theory) Fuzzy-Menge (DE-588)4061868-7 gnd Mathematisches Modell (DE-588)4114528-8 gnd Axiomatik (DE-588)4004038-0 gnd Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd Ungewissheit (DE-588)4137198-7 gnd Grobmenge (DE-588)4362502-2 gnd
subject_GND	(DE-588)4061868-7 (DE-588)4114528-8 (DE-588)4004038-0 (DE-588)4079013-7 (DE-588)4137198-7 (DE-588)4362502-2
title	Uncertainty theory with 4 tables
title_auth	Uncertainty theory with 4 tables
title_exact_search	Uncertainty theory with 4 tables
title_exact_search_txtP	Uncertainty theory with 4 tables
title_full	Uncertainty theory with 4 tables Baoding Liu
title_fullStr	Uncertainty theory with 4 tables Baoding Liu
title_full_unstemmed	Uncertainty theory with 4 tables Baoding Liu
title_short	Uncertainty theory
title_sort	uncertainty theory with 4 tables
title_sub	with 4 tables
topic	Fuzzy-Wahrscheinlichkeit Fuzzy-Zufallsvariable Ungewissheit - Axiom Fuzzy statistics Probabilities Uncertainty (Information theory) Fuzzy-Menge (DE-588)4061868-7 gnd Mathematisches Modell (DE-588)4114528-8 gnd Axiomatik (DE-588)4004038-0 gnd Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd Ungewissheit (DE-588)4137198-7 gnd Grobmenge (DE-588)4362502-2 gnd
topic_facet	Fuzzy-Wahrscheinlichkeit Fuzzy-Zufallsvariable Ungewissheit - Axiom Fuzzy statistics Probabilities Uncertainty (Information theory) Fuzzy-Menge Mathematisches Modell Axiomatik Wahrscheinlichkeitstheorie Ungewissheit Grobmenge
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016067749&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV021858135
work_keys_str_mv	AT liubaoding uncertaintytheorywith4tables

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