Global sensitivity analysis: the primer
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| Format: | Book |
|---|---|
| Language: | English |
| Published: |
Chichester
Wiley
2008
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 292 S. graph. Darst. |
| ISBN: | 9780470059975 |
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MARC
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Record in the Search Index
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| adam_text |
GLOBAL SENSITIVITY ANALYSIS. THE PRIMER ANDREA SALTELLI, MARCO RATTO,
JOINT RESEARCH CENTRE OF THE EUROPEAN COMMISSION, ISPRA, ITALY TERRY
ANDRES DEPARTMENT OF COMPUTER SCIENCE, UNIVERSITY OF MANITOBA, CANADA
FRANCESCA CAMPOLONGO, JESSICA CARIBONI, DEBORA GATELLI, MICHAELA SAISANA
AND STEFANO TARANTOLA JOINT RESEARCH CENTRE UF THE EUROPEAN COMMISSION,
ISPRA, ITALY ~ JOHN WILEY &. SONS, LTD CONTENTS PREFACE 1 INTRODUCTION
TO SENSITIVITY ANALYSIS 1.1 MODELS AND SENSITIVITY ANALYSIS 1.1.1
DEFINITION 1.1.2 MODELS 1.1.3 MODELS AND UNCERTAINTY 1.1.4 HOW TO SET UP
UNCERTAINTY AND SENSITIVITY ANALYSES 1.1.5 IMPLICATIONS FOR MODEL
QUALITY 1.2 METHODS AND SETTINGS FOR SENSITIVITY ANALYSIS - AN
INTRODUCTION 1.2.1 LOCAL VERSUS GLOBAL 1.2.2 A TEST MODEL 1.2.3
SCATTERPLOTS VERSUS DERIVATIVES 1.2.4 SIGMA-NORMALIZED DERIVATIVES 1.2.5
MONTE CARLO AND LINEAR REGRESSION 1.2.6 CONDITIONAL VARIANCES - FIRST
PATH 1.2.7 CONDITIONAL VARIANCES - SECOND PATH 1.2.8 APPLICATION TO
MODEL (1.3) 1.2.9 A FIRST SETTING; 'FACTOR PRIORITIZATION' 1.2.10
NONADDITIVE MODELS 1.2.11 HIGHER-ORDER SENSITIVITY INDICES 1.2.12 TOTAL
EFFECTS 1.2.13 A SECOND SETTING: 'FACTOR FIXING' 1.2.14 RATIONALE FOR
SENSITIVITY ANALYSIS 1.2.15 TREATING SETS 1.2.16 FURTHER METHODS 1.2.17
ELEMENTARY EFFECT TEST 1.2.18 MONTE CARLO FILTERING 1.3 NONINDEPENDENT
INPUT FACTORS 1.4 POSSIBLE PITFALLS FOR A SENSITIVITY ANALYSIS 1.5
CONCLUDING REMARKS XL 1 1 1 2 3 5 9 10 11 12 13 15 16 20 21 22 24 25 29
31 33 34 36 37 38 39 41 41 42 VIII CONTENTS 1.6 EXERCISES 44 1.7 ANSWERS
44 1.8 ADDITIONAL EXERCISES 50 1.9 SOLUTIONS TO ADDITIONAL EXERCISES 51
2 EXPERIMENTAL DESIGNS 53 2.1 INTRODUCTION 53 2.2 DEPENDENCY ON A SINGLE
PARAMETER 55 2.3 SENSITIVITY ANALYSIS OF A SINGLE PARAMETER 58 2.3.1
RANDOM VALUES 58 2.3.2 STRATIFIED SAMPLING 59 2.3.3 MEAN AND VARIANCE
ESTIMATES FOR STRATIFIED SAMPLING 61 2.4 SENSITIVITY ANALYSIS OF
MULTIPLE PARAMETERS 64 2.4.1 LINEAR MODELS 65 2.4.2 ONE-AT-A-TIME (OAT)
SAMPLING 66 2.4.3 LIMITS ON THE NUMBER OF INFLUENTIAL PARAMETERS 70
2.4.4 FRACTIONAL FACTORIAL SAMPLING 71 2.4.5 LATIN HYPERCUBE SAMPLING 76
2.4.6 MULTIVARIATE STRATIFIED SAMPLING 80 2.4.7 QUASI-RANDOM SAMPLING
WITH LOW-DISCREPANCY SEQUENCES 82 2.5 GROUP SAMPLING 89 2.6 EXERCISES 96
2.7 EXERCISE SOLUTIONS 99 3 ELEMENTARY EFFECTS METHOD 109 3.1
INTRODUCTION 109 3.2 THE ELEMENTARY EFFECTS METHOD 110 3.3 THE SAMPLING
STRATEGY AND ITS OPTIMIZATION 112 3.4 THE COMPUTATION OF THE SENSITIVITY
MEASURES 116 3.5 WORKING WITH GROUPS 121 3.6 THE EE METHOD STEP BY STEP
123 3.7 CONCLUSIONS 127 3.8 EXERCISES 128 3.9 SOLUTIONS 131 4
VARIANCE-BASED METHODS 155 4.1 DIFFERENT TESTS FOR DIFFERENT SETTINGS
155 4.2 WHY VARIANCE? 157 4.3 VARIANCE-BASED METHODS. ABRIEF HISTORY 159
4.4 INTERACTION EFFECTS 161 4.5 TOTAL EFFECTS 162 4.6 HOW TO COMPUTE THE
SENSITIVITY INDICES 164 CONTENTS IX 4.7 FAST AND RANDOM BALANCE DESIGNS
167 4.8 PUTTING THE METHOD TO WORK: THE INFECTION DYNAMICS MODEL 169 4.9
CAVEATS 174 4.10 EXERCISES 174 5 FACTOR MAPPING AND METAMODELLING 183
WITH PETER YOUNG 5.1 INTRODUCTION 183 5.2 MONTE CARLO FILTERING (MCF)
184 5.2.1 IMPLEMENTATION OF MONTE CARLO FILTERING 185 5.2.2 PROS AND
CONS 187 5.2.3 EXERCISES 189 5.2.4 SOLUTIONS 190 5.2.5 EXAMPLES 200 5.3
METAMODELLING AND THE HIGH-DIMENSIONAL MODEL REPRESENTATION 212 5.3.1
ESTIMATING HDMRS AND METAMODELS 214 5.3.2 A SIMPLE EXAMPLE 224 5.3.3
ANOTHER SIMPLE EXAMPLE 227 5.3.4 EXERCISES 229 5.3.5 SOLUTIONS TO
EXERCISES 231 5.4 CONCLUSIONS 235 6 SENSITIVITY ANALYSIS: FROM THEORY TO
PRACTICE 237 6.1 EXAMPLE 1: A COMPOSITE INDICATOR 238 6.1.1 SETTING THE
PROBLEM 238 6.1.2 A COMPOSITE INDICATOR MEASURING COUNTRIES' PERFORMANCE
IN ENVIRONMENTAL SUSTAINABILITY 239 6.1.3 SELECTING THE SENSITIVITY
ANALYSIS METHOD 241 6.1.4 THE SENSITIVITY ANALYSIS EXPERIMENT AND
RESULTS 242 6.1.5 CONCLUSIONS 252 6.2 EXAMPLE 2: IMPORTANCE OF ]UMPS IN
PRICING OPTIONS 253 6.2.1 SETTING THE PROBLEM 253 6.2.2 THE HESTON
STOCHASTIC VOLATILITY MODEL WITH ]UMPS 255 6.2.3 SELECTING A SUITABLE
SENSITIVITY ANALYSIS METHOD 258 6.2.4 THE SENSITIVITY ANALYSIS
EXPERIMENT AND RESULTS 258 6.2.5 CONCLUSIONS 261 6.3 EXAMPLE 3: A
CHEMICAL REACTOR 262 6.3.1 SETTING THE PROBLEM 262 6.3.2 THERMAL RUNAWAY
ANALYSIS OF A BATCH REACTOR 263 6.3.3 SELECTING THE SENSITIVITY ANALYSIS
METHOD 266 X 6.3.4 THE SENSITIVITY ANALYSIS EXPERIMENT AND RESULTS 6.3.5
CONCLUSIONS 6.4 EXAMPLE 4: A MIXED UNCERTAINTY-SENSITIVITY PLOT 6.4.1 IN
BRIEF 6.5 WHEN TO USE WHAT? AFTERWORD BIBLIOGRAPHY INDEX CONTENTS 266
269 270 270 272 277 279 287 |
| adam_txt |
GLOBAL SENSITIVITY ANALYSIS. THE PRIMER ANDREA SALTELLI, MARCO RATTO,
JOINT RESEARCH CENTRE OF THE EUROPEAN COMMISSION, ISPRA, ITALY TERRY
ANDRES DEPARTMENT OF COMPUTER SCIENCE, UNIVERSITY OF MANITOBA, CANADA
FRANCESCA CAMPOLONGO, JESSICA CARIBONI, DEBORA GATELLI, MICHAELA SAISANA
AND STEFANO TARANTOLA JOINT RESEARCH CENTRE UF THE EUROPEAN COMMISSION,
ISPRA, ITALY ~ JOHN WILEY &. SONS, LTD CONTENTS PREFACE 1 INTRODUCTION
TO SENSITIVITY ANALYSIS 1.1 MODELS AND SENSITIVITY ANALYSIS 1.1.1
DEFINITION 1.1.2 MODELS 1.1.3 MODELS AND UNCERTAINTY 1.1.4 HOW TO SET UP
UNCERTAINTY AND SENSITIVITY ANALYSES 1.1.5 IMPLICATIONS FOR MODEL
QUALITY 1.2 METHODS AND SETTINGS FOR SENSITIVITY ANALYSIS - AN
INTRODUCTION 1.2.1 LOCAL VERSUS GLOBAL 1.2.2 A TEST MODEL 1.2.3
SCATTERPLOTS VERSUS DERIVATIVES 1.2.4 SIGMA-NORMALIZED DERIVATIVES 1.2.5
MONTE CARLO AND LINEAR REGRESSION 1.2.6 CONDITIONAL VARIANCES - FIRST
PATH 1.2.7 CONDITIONAL VARIANCES - SECOND PATH 1.2.8 APPLICATION TO
MODEL (1.3) 1.2.9 A FIRST SETTING; 'FACTOR PRIORITIZATION' 1.2.10
NONADDITIVE MODELS 1.2.11 HIGHER-ORDER SENSITIVITY INDICES 1.2.12 TOTAL
EFFECTS 1.2.13 A SECOND SETTING: 'FACTOR FIXING' 1.2.14 RATIONALE FOR
SENSITIVITY ANALYSIS 1.2.15 TREATING SETS 1.2.16 FURTHER METHODS 1.2.17
ELEMENTARY EFFECT TEST 1.2.18 MONTE CARLO FILTERING 1.3 NONINDEPENDENT
INPUT FACTORS 1.4 POSSIBLE PITFALLS FOR A SENSITIVITY ANALYSIS 1.5
CONCLUDING REMARKS XL 1 1 1 2 3 5 9 10 11 12 13 15 16 20 21 22 24 25 29
31 33 34 36 37 38 39 41 41 42 VIII CONTENTS 1.6 EXERCISES 44 1.7 ANSWERS
44 1.8 ADDITIONAL EXERCISES 50 1.9 SOLUTIONS TO ADDITIONAL EXERCISES 51
2 EXPERIMENTAL DESIGNS 53 2.1 INTRODUCTION 53 2.2 DEPENDENCY ON A SINGLE
PARAMETER 55 2.3 SENSITIVITY ANALYSIS OF A SINGLE PARAMETER 58 2.3.1
RANDOM VALUES 58 2.3.2 STRATIFIED SAMPLING 59 2.3.3 MEAN AND VARIANCE
ESTIMATES FOR STRATIFIED SAMPLING 61 2.4 SENSITIVITY ANALYSIS OF
MULTIPLE PARAMETERS 64 2.4.1 LINEAR MODELS 65 2.4.2 ONE-AT-A-TIME (OAT)
SAMPLING 66 2.4.3 LIMITS ON THE NUMBER OF INFLUENTIAL PARAMETERS 70
2.4.4 FRACTIONAL FACTORIAL SAMPLING 71 2.4.5 LATIN HYPERCUBE SAMPLING 76
2.4.6 MULTIVARIATE STRATIFIED SAMPLING 80 2.4.7 QUASI-RANDOM SAMPLING
WITH LOW-DISCREPANCY SEQUENCES 82 2.5 GROUP SAMPLING 89 2.6 EXERCISES 96
2.7 EXERCISE SOLUTIONS 99 3 ELEMENTARY EFFECTS METHOD 109 3.1
INTRODUCTION 109 3.2 THE ELEMENTARY EFFECTS METHOD 110 3.3 THE SAMPLING
STRATEGY AND ITS OPTIMIZATION 112 3.4 THE COMPUTATION OF THE SENSITIVITY
MEASURES 116 3.5 WORKING WITH GROUPS 121 3.6 THE EE METHOD STEP BY STEP
123 3.7 CONCLUSIONS 127 3.8 EXERCISES 128 3.9 SOLUTIONS 131 4
VARIANCE-BASED METHODS 155 4.1 DIFFERENT TESTS FOR DIFFERENT SETTINGS
155 4.2 WHY VARIANCE? 157 4.3 VARIANCE-BASED METHODS. ABRIEF HISTORY 159
4.4 INTERACTION EFFECTS 161 4.5 TOTAL EFFECTS 162 4.6 HOW TO COMPUTE THE
SENSITIVITY INDICES 164 CONTENTS IX 4.7 FAST AND RANDOM BALANCE DESIGNS
167 4.8 PUTTING THE METHOD TO WORK: THE INFECTION DYNAMICS MODEL 169 4.9
CAVEATS 174 4.10 EXERCISES 174 5 FACTOR MAPPING AND METAMODELLING 183
WITH PETER YOUNG 5.1 INTRODUCTION 183 5.2 MONTE CARLO FILTERING (MCF)
184 5.2.1 IMPLEMENTATION OF MONTE CARLO FILTERING 185 5.2.2 PROS AND
CONS 187 5.2.3 EXERCISES 189 5.2.4 SOLUTIONS 190 5.2.5 EXAMPLES 200 5.3
METAMODELLING AND THE HIGH-DIMENSIONAL MODEL REPRESENTATION 212 5.3.1
ESTIMATING HDMRS AND METAMODELS 214 5.3.2 A SIMPLE EXAMPLE 224 5.3.3
ANOTHER SIMPLE EXAMPLE 227 5.3.4 EXERCISES 229 5.3.5 SOLUTIONS TO
EXERCISES 231 5.4 CONCLUSIONS 235 6 SENSITIVITY ANALYSIS: FROM THEORY TO
PRACTICE 237 6.1 EXAMPLE 1: A COMPOSITE INDICATOR 238 6.1.1 SETTING THE
PROBLEM 238 6.1.2 A COMPOSITE INDICATOR MEASURING COUNTRIES' PERFORMANCE
IN ENVIRONMENTAL SUSTAINABILITY 239 6.1.3 SELECTING THE SENSITIVITY
ANALYSIS METHOD 241 6.1.4 THE SENSITIVITY ANALYSIS EXPERIMENT AND
RESULTS 242 6.1.5 CONCLUSIONS 252 6.2 EXAMPLE 2: IMPORTANCE OF ]UMPS IN
PRICING OPTIONS 253 6.2.1 SETTING THE PROBLEM 253 6.2.2 THE HESTON
STOCHASTIC VOLATILITY MODEL WITH ]UMPS 255 6.2.3 SELECTING A SUITABLE
SENSITIVITY ANALYSIS METHOD 258 6.2.4 THE SENSITIVITY ANALYSIS
EXPERIMENT AND RESULTS 258 6.2.5 CONCLUSIONS 261 6.3 EXAMPLE 3: A
CHEMICAL REACTOR 262 6.3.1 SETTING THE PROBLEM 262 6.3.2 THERMAL RUNAWAY
ANALYSIS OF A BATCH REACTOR 263 6.3.3 SELECTING THE SENSITIVITY ANALYSIS
METHOD 266 X 6.3.4 THE SENSITIVITY ANALYSIS EXPERIMENT AND RESULTS 6.3.5
CONCLUSIONS 6.4 EXAMPLE 4: A MIXED UNCERTAINTY-SENSITIVITY PLOT 6.4.1 IN
BRIEF 6.5 WHEN TO USE WHAT? AFTERWORD BIBLIOGRAPHY INDEX CONTENTS 266
269 270 270 272 277 279 287 |
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| spelling | Global sensitivity analysis the primer Andrea Saltelli ... Chichester Wiley 2008 X, 292 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematisches Modell Global analysis (Mathematics) Mathematical models Sensitivity theory (Mathematics) Sensitivitätsanalyse (DE-588)4129730-1 gnd rswk-swf Globale Analysis (DE-588)4021285-3 gnd rswk-swf Sensitivitätsanalyse (DE-588)4129730-1 s Globale Analysis (DE-588)4021285-3 s DE-604 Saltelli, Andrea Sonstige oth GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015925439&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Global sensitivity analysis the primer Mathematisches Modell Global analysis (Mathematics) Mathematical models Sensitivity theory (Mathematics) Sensitivitätsanalyse (DE-588)4129730-1 gnd Globale Analysis (DE-588)4021285-3 gnd |
| subject_GND | (DE-588)4129730-1 (DE-588)4021285-3 |
| title | Global sensitivity analysis the primer |
| title_auth | Global sensitivity analysis the primer |
| title_exact_search | Global sensitivity analysis the primer |
| title_exact_search_txtP | Global sensitivity analysis the primer |
| title_full | Global sensitivity analysis the primer Andrea Saltelli ... |
| title_fullStr | Global sensitivity analysis the primer Andrea Saltelli ... |
| title_full_unstemmed | Global sensitivity analysis the primer Andrea Saltelli ... |
| title_short | Global sensitivity analysis |
| title_sort | global sensitivity analysis the primer |
| title_sub | the primer |
| topic | Mathematisches Modell Global analysis (Mathematics) Mathematical models Sensitivity theory (Mathematics) Sensitivitätsanalyse (DE-588)4129730-1 gnd Globale Analysis (DE-588)4021285-3 gnd |
| topic_facet | Mathematisches Modell Global analysis (Mathematics) Mathematical models Sensitivity theory (Mathematics) Sensitivitätsanalyse Globale Analysis |
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