Index

The Econometrics of Networks

ISBN: 978-1-83867-576-9, eISBN: 978-1-83867-575-2

ISSN: 0731-9053

Publication date: 19 October 2020

This content is currently only available as a PDF

Citation

(2020), "Index", de Paula, Á., Tamer, E. and Voia, M.-C. (Ed.) The Econometrics of Networks (Advances in Econometrics, Vol. 42), Emerald Publishing Limited, Leeds, pp. 369-377. https://doi.org/10.1108/S0731-905320200000042019

Publisher

:

Emerald Publishing Limited

Copyright © 2020 Emerald Publishing Limited


INDEX

Index

Note: Page numbers followed by “n” indicate notes.

Accelerated failure time model (AFT model)
, 237

“Activated entities”
, 340

Activators
, 345–351

Adaptive elastic net GMM method
, 32

Adaptive LASSO
, 32

Adaptive portfolio risk management approach
, 364

Adjacency matrix
, 4, 29–30, 32–33

Aggregate equilibrium conditions
, 120

adding local links
, 123–126

adding self-links
, 126–127

aggregation approach
, 122–123

Aggregate model specification
, 6

Akaike’s information criterion (AIC)
, 339

Allocation

parameters
, 122

rule
, 86–87

Applied microeconomics
, 118

Approximation error
, 9

Asian Crisis (1997–1998)
, 360

Assortative matching
, 270

Asymptotic distribution
, 66–68, 78–79

Auto loans
, 317, 319

Average empty-space distance function
, 178

Bank branches in Canada
, 176

data
, 178–180

disaggregated area analysis
, 176

geographical concentration
, 177–178

robustness
, 188

spatial dependence
, 177

spatial panel model
, 180–188

Bank of Montreal (BMO)
, 179

Bank of Nova Scotia
, 179

Banking network
, 320

Banknote circulation, survival analysis of
, 237

clusters
, 250–255

hazard model for banknotes
, 255–260

network and spatial patterns of banknotes
, 243–250

single note inspection data
, 237–243

Banknote distribution system (BNDS)
, 237

Banknote fitness
, 243–246

Baseline models
, 183–184

Bayesian econometrics
, 206

Bayesian information criterion (BIC)
, 339

Bellman’s equation
, 155–156

Bias
, 4

Big data
, 236

Biological environment
, 147

Book and market values of firm
, 268–269

Bounded degree
, 113

Branch density
, 176, 183

Business
, 118

Canada, household debt in
, 316

Canadian Census
, 180

Canadian household debt
, 329n1

Canadian Imperial Bank of Commerce (CIBC)
, 179

Cascades effects
, 274–278

Cause spillover effects
, 334

Census metropolitan area level (CMA level)
, 188

Central Limit Theorem (CLT)
, 17

Centre for Economic Policy Research (CEPR)
, 358

Chains
, 14n4, 20, 22

Change of basis
, 28, 35, 52

Chilliwack Forest District
, 161

Cholesky decomposition
, 128

CISS
, 346

Cluster
, 178, 251–253

Clustering
, 124, 251

Co-author model
, 88

Co-stress
, 345–351

ID
, 340, 350

Coalition-proof Nash equilibrium
, 90

Coalitional games
, 84

Coast Appraisal Manual (2002)
, 163, 172

Coauthorship

model
, 116–120, 132–134

network
, 112

Cobb–Douglas utility function
, 92

Codes
, 117–118

Common correlated effects estimator (CCE estimator)
, 182

Computational simplifications
, 129, 141–142

residual categories of types
, 130–131

restriction to observed network types
, 129–130

Conditional posterior distributions
, 210, 212, 226–229

Confidence region
, 123, 127–128

Connectedness

by credit market
, 325–326

by FI type
, 323–325

Connections model
, 87

Consumer credit(s)
, 317

data
, 317–318

distributions of consumer loans
, 318–320

factors influencing FI-level interconnectedness
, 326–328

interconnectedness
, 316–317

markets
, 318

overlaping portfolio of consumer loans
, 320–326

stylized facts
, 317

Consumer demographic information
, 318

Consumer loans

connectedness by credit market
, 325–326

connectedness by FI type
, 323–325

distributions
, 318–320

network construction
, 320–321

overall connectedness
, 322–323

overlaping portfolio of
, 320

Contagion models
, 267

Contextual effect
, 5

Continuation region
, 155

Controlled Markov decision problems
, 146

Cooperation structure analysis
, 89

Correlated effects
, 28

Cosine similarity
, 320, 330n14

Cost function
, 119

CoVaR approach
, 334–335, 337

Credit cards
, 317–318

Credit default swap (CDS)
, 352–356

Credit market, connectedness by
, 325–326

Credit unions
, 329n10

Cross-holding
, 267, 270

matrix and values of organizations
, 270–272

Cross-sectional sample selection models (see also Social interactions models)

econometric model
, 207–209

Markov-chain Monte Carlo estimation
, 213

Monte Carlo evidence
, 213–221

posterior inference
, 209–212

Cross-shareholding relationships
, 266–267

Cross-validation
, 338–339

Cycle duration
, 243–246

Data augmentation
, 230–231

Data generating process
, 70–75

Data sources

method
, 171–173

output
, 173–174

Dependency matrix
, 272

Digital elevation model (DEM)
, 156–157

Directed graph
, 86

Disaggregated area analysis
, 176

Disassortative mixing
, 270

Disparity filter
, 321–322

Distance

distance-based measure
, 179

function
, 251

Disturbance processes
, 208

Diversification
, 269–270

Division of Financial Stability
, 363

Doğan and Taşpinar sampling (DT sampling)
, 211, 215, 221

Domestic systemically important banks (DSIBs)
, 316–319

Dot-Com bubble implosion
, 350

Double machine learning
, 258

Durbin spatial model (DSM)
, 181

Dynamic demand model
, 30

Dynamic geographical information system
, 146

Econometric model
, 207–209

Economic

applications in FRM
, 343–364

shock
, 334

tail risk management
, 336

Edge effects
, 173

Efficiency
, 11

efficiency–stability tension
, 91

Eigenvalues
, 34

Elastic net method
, 237, 257

Elevated household debt level
, 316

Endogenous effects
, 5, 28

Endowment realization
, 104

Entry and exit
, 177

Equal-weighted measure of interconnectedness
, 327–328

Estimates
, 307–310

Estimation methods
, 30, 112

EUCALLOCATION (ArcInfo function)
, 173

Euclidean distance
, 330n14

Euro Area policy makers
, 352

European Central Bank (ECB)
, 190n6

EuroStoxx 50 Volatility Index (VSTOXX)
, 346

Exogenous effects
, 28

Expected utility

for n-member market
, 104–105

for unreliable complete n-network
, 106–107

Faustmann’s rent
, 151

Faustmann–Marshall–Pressler solution (FMP solution)
, 150–152

criticisms
, 152–153

Federal Bank Act
, 329n10

Financial contagion
, 266

book and market values of firm
, 268–269

cascades effects
, 274–278

effect of cascades of failures
, 269

data description
, 270–272

diversification, integration, and homophily
, 269–270

industry collapse
, 278–284

literature review
, 267

model
, 268–270

network structure
, 273–274

results
, 273–284

Financial crisis (2008)
, 336, 362

Financial institutes/institutions (FIs)
, 236–237, 316, 334, 340–341, 329n4

connectedness by
, 323–325

factors influencing FI-level interconnectedness
, 326–328

interconnectedness of
, 320–321, 324

secondary FIs
, 324

Financial Institution File (FIF)
, 178

cleaning
, 203–204

Financial markets
, 336, 345, 362–363

Financial networks
, 267

Financial risk meter (FRM)
, 334–335, 340

co-stress, activators and network dynamics
, 345–351

computational characteristics
, 342–343

and credit default swaps
, 352–356

data and computational characteristics
, 340

data compilation
, 341–342

economic applications
, 343

financial institutions
, 340–341

implications and extensions
, 362–364

modeling framework
, 336–340

as predictor of recessions
, 356–362

preparation, estimation and reporting algorithm steps
, 344

SRM
, 351–352

systemic risk measure framework
, 336

Financial service companies
, 317

Financial stability
, 295, 316

Finite payoff depth
, 113

Firms
, 265–266

Fixed effect elimination
, 35

Fixed-coefficient production function
, 148–149

Forward Sortation Areas (FSAs)
, 176

Fraser Timber Supply Area (FTSA)
, 161

Friendship model
, 114–116, 122–123

simulation
, 131–132

FRM@Americas
, 335, 340, 342, 345, 347–348

FRM macroeconomic risk factors in
, 343

FRM@Europe
, 340, 342, 345, 347–348

for equity markets
, 335

FRM macroeconomic risk factors in
, 343

FRM@iTraxx
, 356

Eu Senior financials adjacency matrix
, 357

Eu Senior financials constituent network total degree of centrality
, 359

spillover channel
, 358

General risk market movement assessment
, 336

Generalized approximate cross-validation criterion (GACV)
, 334

Generalized cross-validation method
, 339

Generalized method of moments (GMM)
, 190n10

Generic neighborhood effects model
, 181–182

Geographic concentrations
, 176–178

Geographic information system (GIS)
, 156–159

Gibbs sampler
, 230

Gibbs sampling of parameters of interest
, 210–212

Google Trends
, 335

Graph
, 85–86

Graph-restricted game
, 88

Gross domestic product (GDP)
, 335

Group formation theories
, 84

Group-specific fixed effects

models with
, 35–37, 41–45

models without
, 38–41

Hausman specification test
, 185

Hazard model for banknotes
, 255–260

Heckman models
, 232–234

Herfindahl–Hirschman Index (HHI)
, 319, 327, 330n12

Heterogeneous peer effects, network model with
, 5–6

Heterophilic vertices
, 72

High co-stress entities
, 350

High-dimensional financial network
, 336

Home equity lines of credit (Heloc)
, 318–319

Homophily
, 269–270

principle of social network
, 62

vertices
, 71

Household

debt in Canada
, 316

indebtedness
, 316

Hyper-cube
, 128

Identification
, 299–301

Industrial concentrations
, 176

Information Management System (IMS)
, 236

Institutional distress
, 334

Integration
, 268–270

Interbank networks
, 306

Interconnectedness
, 316–317

of FIs
, 320–321

Interpersonal contacts
, 84

Inventory management system (IMS)
, 238

structure of IMS data set
, 238–241

Isomorphic subgraphs
, 113

Jacobian matrix
, 55

JOINITEM (ArcInfo function)
, 173

Jordan block
, 51

Jordan canonical form
, 44–45, 51

k-core decomposition algorithm
, 328n7

k-fold cross-validation method
, 339

K-means clustering method
, 251

Kaplan–Meier estimator (KM estimator)
, 255–256

L1-norm quantile linear regression
, 334

LASSO
, 32

method
, 339

penalization parameter
, 337

Latent variables

data augmentation
, 230–231

deriving conditional distributions of blocks
, 225–226

sampling vector of
, 210–211

Law of large numbers (LLN)
, 178

Leave-one-out cross-validation method
, 339

Leontief

production function
, 148

technology
, 149

Likelihood
, 210

Linderberg central limit theorem
, 67

Linear algebra

change of basis
, 52

Jordan canonical form
, 51

Linear independence of matrices
, 29–30

Linear quantile Lasso regression
, 337

Linear regression model
, 327

Linear-in-means model
, 4, 14n5

Lines of credit
, 317

Link-based SAR
, 294, 299

2SLS estimation
, 301–303

estimates
, 310

identification
, 299–301

Linkage costs
, 97–98

Loan types
, 317

Local economies
, 118

Local identification of parameters and Eigenvalues
, 57–59

Logistic regression model
, 336

Long-term refinancing operations (LTROs)
, 308

Lumber production
, 148–149

Lumber recovery factor (LRF)
, 149

Machine learning techniques
, 112

Macroeconomics
, 118

Macroprudential policy making.
, 362

Macroprudential Research Network (MaRs)
, 346

Marginal benefit
, 151

Market

market-aggregated connectedness
, 322–323

microstructure
, 300

segments
, 317

Markit iTraxx CDS indices
, 355

Markov chain Monte Carlo algorithm (MCMC algorithm)
, 123, 206, 213

Markov process
, 164

Markov’s inequality
, 18

Matrix

representation
, 291

triangularization
, 32, 35, 37, 41

Maximum sustainable yield
, 147, 149

Mean squared error (MSE)
, 251

Method of Payment Survey (MOP Survey)
, 180

Methods and theory
, 118

Minimum spanning tree algorithm
, 328n7

Model selection
, 257

Moment equation
, 65–66, 68–69

Money

circulation network
, 247–250

market microstructure
, 305–306

Monte Carlo evidence
, 213

design
, 213–215

results
, 215–221

Monte Carlo simulation study
, 10, 12, 303–305

Mortgage loans
, 319

Multigraph
, 116

Multiple adjacency-matrix framework
, 4–5

Myerson value
, 88–89

National Bureau of Economic Research (NBER)
, 335

recession indicator
, 358

“Neighborhood effects” literature
, 181–182

Network(s), 83–84 (see also Social network(s))

2SLS estimator
, 8–11

aggregate equilibrium conditions
, 120–127

computational simplifications
, 129–131

construction
, 320–321

cycle duration and banknote fitness
, 243–246

of decentralized exchanges
, 295–296

formation models
, 111

with heterogeneous peer effects
, 5–6

identification
, 6–8

model misspecification bias
, 11–12

models
, 4

money circulation network
, 247–250

recovered sets
, 131–134

reduction algorithm
, 328n7

and spatial patterns of banknotes
, 243

statistical inference
, 127–128

structure
, 273–274

type
, 113–114

utility and network positions
, 113–120

Newly planted forests
, 160

Neyman orthogonal moments/scores
, 258

Node-based SAR
, 294, 297–299

Non-directed graph
, 86

Non-distance-based measures
, 179

Non-isomorphic subgraphs
, 113

Non-linear models
, 206

Non-transferable utility
, 121

Normalized inverted Wishart sampler
, 231

Old-growth forests
, 160

Optimal harvesting strategy
, 156

Optimal weighting
, 70

Ordinary least squares estimator (OLS estimator)
, 256

Outcome equation
, 207

Over-the-counter market (OTC market)
, 294

Overlaping portfolio of consumer loans
, 320–326

Pairwise stability
, 89, 96, 120–121

Pairwise stable networks
, 97–98

Pareto efficiency
, 87

Pareto efficient network
, 98–99, 107

Payment system
, 305–306

Payments Canada Financial Institution File
, 178

geographic concentration
, 178–179

industrial concentration
, 179

Peer effects model
, 4

Penalization parameters
, 334

Physical bank branches
, 175

Polytope
, 127–128

Pooled LASSO estimator
, 32

Portfolio

diversification
, 327

similarity
, 320, 329n7

Post-crisis
, 363

Posterior inference
, 209

Gibbs sampling of parameters of interest
, 210–212

likelihood and conditional posterior distributions
, 210

priors
, 209–210

Pre-crisis
, 363

Predicted type shares
, 122

Preference classes
, 122

Priors
, 209–210, 224

Probability
, 93–94

of adjacency matrix
, 71

PRT approach
, 112–113, 120, 122

Pseudocode of financial contagion model
, 292

Quadratic programing problem (QP problem)
, 112, 123, 127–128

Quantile regression
, 334–339

Quasi-Maximum Likelihood Estimator
, 301

R software
, 336

Racial segregation
, 111–112

Real GDP
, 335

Real Time Gross Settlement Payment System (RTGS Payment System)
, 305

Recapitalizations
, 336

Recession

FRM as predictor of
, 356

probabilities provision
, 336

probability indicators
, 335

Recursive methods
, 146

Recursive solution via method of dynamic programing, 153 (see also Stochastic dynamic programing)

assumptions concerning economic and physical environment
, 153–154

Bellman’s equation
, 155–156

solution strategy
, 154–155

Reflection problem
, 28

Regenerative, optimal-stopping problem
, 154

Regional distribution center (RDC)
, 237

Regional distribution point (RDP)
, 237

Regression

results
, 193–200

tree analysis
, 119

Rent extraction
, 149–150

Repayment schedule
, 318

Researcher utility
, 116

Residential loan
, 328

Ridge regression
, 257

Robustness
, 188

Royal Bank of Canada (RBC)
, 179

Sample

moment equation
, 66

selection
, 62–63

Secondary FIs
, 316

Secured loans
, 318

Selection equation
, 207

“Shadow banking system”
, 363

Shapley value
, 88

Simulation parameters
, 272

Single note inspection data
, 237

institutional background
, 237

sample description
, 241–243

structure of IMS data set
, 238–241

Site heterogeneity
, 150

Site index
, 168n9

Six-degree separation theory
, 62

Size-weighted measure of interconnectedness
, 327–328

Slope factor
, 172

Smoothed recession probability
, 335

Snowball sampling
, 61–62, 64

Social interactions models
, 28

basic assumptions
, 33–34

estimation literature
, 32–33

identification literature and proposed methods
, 28–32

identification methods for
, 28

long panel identification
, 35–37

notation
, 34

short panel identification
, 37–46

Social network(s) (see also Trade networks)

for economic behavior
, 84

empirical application
, 75–77

estimation
, 65–70

setup
, 64

simulation
, 70–75

Society for Worldwide Interbank Financial Telecommunication (SWIFT)
, 307

Solution concept
, 121

Sovereign risk meter (SRM)
, 345, 351–352

Spatial autocorrelation
, 180

parameter
, 231–232

Spatial autoregressive model (SAR model)
, 4, 181, 294

Spatial competition of rival banks
, 187–188

Spatial dependence
, 177

Spatial Durbin dynamic panel model
, 30

Spatial error model (SEM)
, 33, 181

Spatial geographic concentration
, 187

Spatial market structure
, 186–187

Spatial or network interdependence
, 206

Spatial panel model
, 180

banks
, 184–187

baseline models
, 183–184

big five and small banks
, 187–188

Spatial socioeconomics
, 185–186

Spillover effects
, 295

empirical example
, 305–310

link-based SAR
, 299–303

Monte Carlo study
, 303–305

network of decentralized exchanges
, 295–296

node-based SAR
, 297–299

SRM@EuroArea
, 335, 345, 351

constituent network total degree of centrality
, 354–355

Stability
, 90–92, 121

Standard community-finding algorithm
, 118

Standard deviation (SD)
, 215

Standard FRM
, 335

Statistical inference
, 127–128

Statistics Canada Catographic Boundary File
, 180

Stochastic block model
, 70–73

Stochastic dynamic programing
, 146

computational issues
, 164–165

data set
, 161–164

geographical, intertemporal, and stochastic model
, 153–156

GIS
, 156–159

illustrative results
, 165–166

implementation
, 161–166

modeling growth and yield in stands of timber
, 160–161

theoretical structure
, 147–153

Stopping region
, 155

Strategic mortgage defaults
, 329n8

Strategic network formation theories
, 84

Strategy space
, 86

Strength

of strong ties
, 99–101

of tie
, 94

of weak ties
, 84

Strong Nash equilibrium
, 90

Structurally distinct network positions
, 112

Structurally similar network positions
, 112

Stumpage rate
, 149–150

Subsample of social network data
, 73–75

Superintendence of Companies, Securities and Insurance of Ecuador (SUPERCIAS)
, 266, 270

Symmetric labor market model
, 92

Systemic risk
, 334–336

FRM systemic risk measure framework
, 336–340

Tail dependencies
, 336

Tail Event NETwork risk approach (TENET risk approach)
, 334

TARGET2
, 305, 307

Ties

strategic establishment
, 94–99

strength
, 94

strength of strong ties
, 99–101

Timber supply area (TSA)
, 153

Toronto Dominion (TD)
, 179

Trade example
, 88

Trade networks, 92 (see also Social network(s))

basic setup
, 92–93

examples
, 87–88

imperfect reliability of links
, 93–94

literature
, 88–92

network formation game
, 85–87

strategic establishment of ties
, 94–99

strength of strong ties
, 99–101

Tree and Stand Simulator (TASS)
, 160–161

Tree Farm Licenses (TFL)
, 153

Tree-indexed Markov chain
, 7, 14n4, 22

Truncated multivariate normal equation (TMVN equation)
, 210

Tuned random walk metropolis-Hastings sampler
, 232

Tuning parameters
, 257

Two-stage least squares estimators (2SLS estimators)
, 4, 8, 301–303

asymptotic properties
, 9–10

finite sample performance
, 10–11

Two-step

identification strategy
, 30

LASSO regression
, 33

Two-way fixed effects
, 180

Type shares
, 114

Umbrella Movement
, 63, 75

Unemployment disparities
, 182

Uniformly bounded in absolute value (UB)
, 17

Utility and network positions
, 113

coauthorship model
, 116–120

friendship model
, 114–116

Value at Risk (VaR)
, 334, 337

Valued graphs
, 102n9

Variable Density Yield Prediction (VDYP)
, 161

Variance–covariance matrix
, 209

of idiosyncratic error
, 231

Vertices of graph
, 85

Voluntary networking
, 85

Walrasian equilibrium allocation
, 93, 104

Yield curve slope based predictor
, 335