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  • 醉染图书可信测度论9787030570864
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    • 作者: 刘彦奎著 | 刘彦奎编 | 刘彦奎译 | 刘彦奎绘
    • 出版社: 科学出版社
    • 出版时间:2018-05-01
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    • 作者: 刘彦奎著| 刘彦奎编| 刘彦奎译| 刘彦奎绘
    • 出版社:科学出版社
    • 出版时间:2018-05-01
    • 页数:275
    • ISBN:9787030570864
    • 版权提供:科学出版社
    • 作者:刘彦奎
    • 著:刘彦奎
    • 装帧:平装
    • 印次:暂无
    • 定价:128.00
    • ISBN:9787030570864
    • 出版社:科学出版社
    • 开本:暂无
    • 印刷时间:暂无
    • 语种:暂无
    • 出版时间:2018-05-01
    • 页数:275
    • 外部编号:1201687931
    • 版次:暂无
    • 成品尺寸:暂无

    Preface
    Symbols and Abbreviations
    Chapter 1 Credibility Measure Space 1
    1.1 Ample Space 1
    1.2 Fuzzy Vector 2
    1.3 Credibility Measure 4
    1.4 Credibility Distribution Function 11
    1.5 Building Credibility Measure 12
    1.6 Generating L-S Measures 21
    1.7 Bibliographical Notes 26
    Chapter 2 Product Credibility Measure 30
    2.1 Finite-Dimensional Product Space 30
    2.2 Infinite-Dimensional Product Space 35
    . Existence of Credibility Measure Space 45
    2.4 Arithmetic of Fuzzy Variables 54
    2.5 Bibliographical Notes 59
    Chapter 3 Convergence of Approximation 61
    3.1 Convergence Criteria 61
    3.2 Convergence Relations 64
    3.3 Approximation Techniques 65
    3.4 Credibility Simulation 70
    3.5 Critical Value Simulation 77
    3.6 Bibliographical Notes 81
    Chapter 4 Credibilistic Independence 84
    4.1 Marginal Credibility Distributions 84
    4.2 Independence of Fuzzy Vectors 90
    4.3 Linear Combinations of Fuzzy Variables 99
    4.4 Independence of Fuzzy Events 101
    4.5 Bibliographical Notes 105
    Chapter 5 Numerical Characteristics 107
    5.1 Expected Value Operators 107
    5.2 Independence Linearity 112
    5.3 Dominated Convergence Theorems 118
    5.4 Expected Value Simulation 124
    5.5 Variance of Fuzzy Variable 129
    5.6 Absolute Deviations 135
    5.7 Spread of Fuzzy Variable 148
    5.8 Relation between Var and Sp 155
    5.9 Moment of Fuzzy Variable 158
    5.10 Skewness and Kurtosis 165
    5.11 Bibliographical Notes 166
    Chapter 6 Lr Space of Fuzzy Variables 168
    6.1 Uniform Integrability 168
    6.2 Important Inequalities 172
    6.3 Comleess of Lr Space 173
    6.4 Bibliographical Notes 179
    Chapter 7 Credibilistic Orders 180
    7.1 Usual Credibilistic Order 180
    7.2 Credibilistic Stop-Loss Order 188
    7.3 Credibilistic Convex Order 190
    7.4 Bibliographical Notes 193
    Chapter 8 Credibilistic Risk Measures 194
    8.1 Value at Risk 194
    8.2 Conditional Value at Risk 206
    8.3 CVaR Computational Formulas 210
    8.4 Bibliographical Notes 213
    Chapter 9 Credibilistic Comonotonicity 215
    9.1 Comonotonic Set 215
    9.2 Comonotonic Fuzzy Vector 215
    9.3 Two-ary Fuzzy Vector 221
    9.4 Bibliographical Notes 224
    Chapter 10 Credibilistic Laws 225
    10.1 Independence 225
    10.2 Definitions of Laws 227
    10.3 Law of Large Numbers 229
    10.4 Bibliographical Notes 4
    Chapter 11 Credibilistic Processes 5
    11.1 L-R Fuzzy Variable 5
    11.2 Renewal Process
    11.3 Renewal Reward Process 245
    11.4 Bibliographical Notes 250
    Bibliography 251
    Appendix List of Frequently Used CDFs 271
    Index 273

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