Application of information criterion theory to some structural reliability problems

[目次]

  • Abstract / p1
  • Contents / p4
  • 1 Introduction / p1
  • 2 The Information Criterion for Selection of the Best Statistical Model / p7
  • 2.1 Estimation:Maximum Likelihood Principle / p8
  • 2.2 AIC:Model Selection Criterion / p9
  • 2.3 Derivation of AIC / p15
  • 2.4 A Note on AIC / p19
  • 3 B-Spline Approximation of Complicated Probability Density Functions / p21
  • 3.1 Introduction / p21
  • 3.2 Estimation of p.d.f.Using B-spline Function / p22
  • 3.3 Numerical Examples / p27
  • 3.4 Estimation of p.d.f.from A Histogram / p35
  • 3.5 Numerical Examples / p39
  • 3.6 Conclusions / p41
  • 4 A Method to Determine the Membership Functions Based on Fuzzy Data / p45
  • 4.1 Introduction / p45
  • 4.2 The Fuzzy Data / p47
  • 4.3 B-spline Approximation of the Membership Function / p47
  • 4.4 Combination of Many Persons' Opinions / p51
  • 4.5 Numerical Examples / p53
  • 4.6 Concluding Remarks / p60
  • 5 A Bayesian Information Criterion for Small Sample Problem / p65
  • 5.1 Bayesian Model of Statistical Inference / p65
  • 5.2 A Bayesian Information Criterion / p71
  • 5.3 Comparison of AIC and ABIC / p72
  • 6 Application of ABIC to Engineering Problems / p75
  • 6.1 Introduction / p75
  • 6.2 Formulation of ABIC analysis / p77
  • 6.3 ABIC Formulation for One Dimensional Problem / p86
  • 6.4 Numerical Examples / p89
  • 6.5 Conclusion / p111
  • 7 Summary and Conclusions / p113

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この本の情報

書名 Application of information criterion theory to some structural reliability problems
著作者等 宗 智
書名別名 構造信頼性問題における情報量規準の適用に関する研究
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