the Analytics of Risk Model Validation 
Contents 
Abouttheeditors vii 
Aboutthecontributors ix 
Preface xiii 
1Determinantsofsmallbusinessdefault 1 
SumitAgarwal,SouphalaChomsisengphetandChunlinLiu 
2Validationofstresstestingmodels 13 
JosephL.Breeden 
3Thevalidityofcreditriskmodelvalidationmethods 27 
GeorgeChristodoulakisandStephenSatchell 
4Amoments-basedprocedureforevaluatingriskforecastingmodels 45 
KevinDowd 
5Measuringconcentrationriskincreditportfolios 59 
KlausDuellmann 
6Asimplemethodforregulatorstocross-checkoperationalriskloss 
modelsforbanks 79 
WayneHollandandManMohanS.Sodhi 
7Ofthecredibilityofmappingandbenchmarkingcreditriskestimatesfor 
internalratingsystems 91 
VichettOung 
8AnalyticmodelsoftheROCcurve:Applicationstocreditrating 
modelvalidation 113 
StephenSatchellandWeiXia 
9Thevalidationoftheequityportfolioriskmodels 135 
StephenSatchell 
10Dynamicriskanalysisandriskmodelevaluation 149 
GnterSchwarzandChristophKessle 
11ValidationofinternalratingsystemsandPDestimates 169 
DirkTasche 
Index 197 
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