메뉴 건너뛰기




Volumn 30, Issue 2, 2015, Pages 184-198

On the question of effective sample size in network modeling: An asymptotic inquiry

Author keywords

Asymptotic normality; Consistency; Exponential family random graph model; Maximum likelihood; Mutuality; Triadic closure

Indexed keywords


EID: 84930889619     PISSN: 08834237     EISSN: None     Source Type: Journal    
DOI: 10.1214/14-STS502     Document Type: Article
Times cited : (93)

References (41)
  • 3
    • 0000913755 scopus 로고
    • Spatial interaction and the statistical analysis of lattice systems
    • BESAG, J. (1974). Spatial interaction and the statistical analysis of lattice systems. J. R. Stat. Soc. Ser. B Stat. Methodol. 36 192-236.
    • (1974) J. R. Stat. Soc. Ser. B Stat. Methodol , vol.36 , pp. 192-236
    • Besag, J.1
  • 4
    • 75849140057 scopus 로고    scopus 로고
    • A nonparametric view of network models and Newman-Girvan and other modularities
    • BICKEL, P. J. and CHEN, A. (2009). A nonparametric view of network models and Newman-Girvan and other modularities. Proc. Natl. Acad. Sci. USA 106 21068-21073.
    • (2009) , vol.106 , pp. 21068-21073
    • Bickel, P.J.1    Chen, A.2
  • 5
    • 0000460102 scopus 로고    scopus 로고
    • Interval estimation for a binomial proportion
    • BROWN, L. D., CAI, T. T. and DASGUPTA, A. (2001). Interval estimation for a binomial proportion. Statist. Sci. 16 101-133.
    • (2001) Statist. Sci , vol.16 , pp. 101-133
    • Brown, L.D.1    Cai, T.T.2    Dasgupta, A.3
  • 6
    • 0036101724 scopus 로고    scopus 로고
    • Confidence intervals for a binomial proportion and asymptotic expansions
    • BROWN, L. D.,CAI, T. T. andDASGUPTA, A. (2002). Confidence intervals for a binomial proportion and asymptotic expansions. Ann. Statist. 30 160-201.
    • (2002) Ann. Statist , vol.30 , pp. 160-201
    • Brown, L.D.1    Cai, T.T.2    Anddasgupta, A.3
  • 7
    • 84875385659 scopus 로고    scopus 로고
    • Consistency of maximum-likelihood and variational estimators in the stochastic block model
    • CELISSE, A., DAUDIN, J.-J. and PIERRE, L. (2012). Consistency of maximum-likelihood and variational estimators in the stochastic block model. Electron. J. Stat. 6 1847-1899.
    • (2012) Electron. J. Stat , vol.6 , pp. 1847-1899
    • Celisse, A.1    Daudin, J.-J.2    Pierre, L.3
  • 8
    • 84888884588 scopus 로고    scopus 로고
    • Estimating and understanding exponential random graph models
    • CHATTERJEE, S. and DIACONIS, P. (2013). Estimating and understanding exponential random graph models. Ann. Statist. 41 2428-2461.
    • (2013) Ann. Statist , vol.41 , pp. 2428-2461
    • Chatterjee, S.1    Diaconis, P.2
  • 9
    • 80051625575 scopus 로고    scopus 로고
    • Random graphs with a given degree sequence
    • CHATTERJEE, S., DIACONIS, P. and SLY, A. (2011). Random graphs with a given degree sequence. Ann. Appl. Probab. 21 1400-1435.
    • (2011) Ann. Appl. Probab , vol.21 , pp. 1400-1435
    • Chatterjee, S.1    Diaconis, P.2    Sly, A.3
  • 10
    • 84861614159 scopus 로고    scopus 로고
    • Stochastic blockmodels with a growing number of classes
    • CHOI, D. S.,WOLFE, P. J. andAIROLDI, E. M. (2012). Stochastic blockmodels with a growing number of classes. Biometrika 99 273-284.
    • (2012) Biometrika , vol.99 , pp. 273-284
    • Choi, D.S.1    Wolfe, P.J.2    Airoldi, E.M.3
  • 12
    • 0001825008 scopus 로고
    • Estimating the size of hidden populations using snowball sampling
    • FRANK, O. and SNIJDERS, T. A. B. (1994). Estimating the size of hidden populations using snowball sampling. J. Official Statistics 10 53-67.
    • (1994) J. Official Statistics , vol.10 , pp. 53-67
    • Frank, O.1    Snijders, T.A.B.2
  • 14
    • 84950609641 scopus 로고
    • An exponential family of probability distributions for directed graphs: Comment
    • HABERMAN, S. J. (1981). An exponential family of probability distributions for directed graphs: Comment. J. Amer. Statist. Assoc. 76 60-61.
    • (1981) J. Amer. Statist. Assoc , vol.76 , pp. 60-61
    • Haberman, S.J.1
  • 15
    • 2442486856 scopus 로고    scopus 로고
    • Assessing degeneracy in statistical models of social networks
    • Technical Report No. 39, Center for Statistics and the Social Sciences, Univ. Washington, Seattle, WA
    • HANDCOCK, M. S. (2003). Assessing degeneracy in statistical models of social networks. Technical Report No. 39, Center for Statistics and the Social Sciences, Univ. Washington, Seattle, WA.
    • (2003)
    • Handcock, M.S.1
  • 16
    • 84913571393 scopus 로고    scopus 로고
    • Ergm: Fit, simulate and diagnose exponential-family models for networks
    • The Statnet project. Available at R package version 3.1.2
    • HANDCOCK, M. S., HUNTER, D. R., BUTTS, C. T., GOODREAU, S. M., KRIVITSKY, P. N. and MORRIS, M. (2014). ergm: Fit, simulate and diagnose exponential-family models for networks. The Statnet project. Available at http://www.statnet.org. R package version 3.1.2.
    • (2014)
    • Handcock, M.S.1    Hunter, D.R.2    Butts, C.T.3    Goodreau, S.M.4    Krivitsky, P.N.5    Morris, M.6
  • 17
    • 85020065545 scopus 로고    scopus 로고
    • Discrete temporal models of social networks
    • HANNEKE, S., FU, W. and XING, E. P. (2010). Discrete temporal models of social networks. Electron. J. Stat. 4 585-605.
    • (2010) Electron. J. Stat , vol.4 , pp. 585-605
    • Hanneke, S.1    Fu, W.2    Xing, E.P.3
  • 18
    • 84950607156 scopus 로고
    • An exponential family of probability distributions for directed graphs
    • HOLLAND, P. W. and LEINHARDT, S. (1981b). An exponential family of probability distributions for directed graphs. J. Amer. Statist. Assoc. 76 33-65.
    • (1981) J. Amer. Statist. Assoc , vol.76 , pp. 33-65
    • Holland, P.W.1    Leinhardt, S.2
  • 19
    • 33749665991 scopus 로고    scopus 로고
    • Inference in curved exponential family models for networks
    • HUNTER, D. R. and HANDCOCK, M. S. (2006). Inference in curved exponential family models for networks. J. Comput. Graph. Statist. 15 565-583.
    • (2006) J. Comput. Graph. Statist , vol.15 , pp. 565-583
    • Hunter, D.R.1    Handcock, M.S.2
  • 20
    • 45349102044 scopus 로고    scopus 로고
    • Ergm: A package to fit, simulate and diagnose exponential-family models for networks
    • HUNTER, D. R., HANDCOCK, M. S., BUTTS, C. T., GOODREAU, S. M. and MORRIS, M. (2008). ergm: A package to fit, simulate and diagnose exponential-family models for networks. J. Stat. Softw. 24 1-29.
    • (2008) J. Stat. Softw , vol.24 , pp. 1-29
    • Hunter, D.R.1    Handcock, M.S.2    Butts, C.T.3    Goodreau, S.M.4    Morris, M.5
  • 24
    • 79955583510 scopus 로고    scopus 로고
    • Adjusting for network size and composition effects in exponential-family random graph models
    • KRIVITSKY, P. N., HANDCOCK, M. S. and MORRIS, M. (2011). Adjusting for network size and composition effects in exponential-family random graph models. Stat. Methodol. 8 319-339.
    • (2011) Stat. Methodol , vol.8 , pp. 319-339
    • Krivitsky, P.N.1    Handcock, M.S.2    Morris, M.3
  • 25
    • 84930889619 scopus 로고    scopus 로고
    • Supplement to "On the question of effective sample size in network modeling: An asymptotic inquiry
    • KRIVITSKY, P. N. and KOLACZYK, E. D. (2014). Supplement to "On the question of effective sample size in network modeling: An asymptotic inquiry". DOI:10.1214/14-STS502SUPP.
    • (2014)
    • Krivitsky, P.N.1    Kolaczyk, E.D.2
  • 27
    • 45349086832 scopus 로고    scopus 로고
    • Specification of exponential-family random graph models: Terms and computational aspects
    • MORRIS, M., HANDCOCK, M. S. and HUNTER, D. R. (2008). Specification of exponential-family random graph models: Terms and computational aspects. J. Stat. Softw. 24 1-24.
    • (2008) J. Stat. Softw , vol.24 , pp. 1-24
    • Morris, M.1    Handcock, M.S.2    Hunter, D.R.3
  • 29
    • 78649632680 scopus 로고    scopus 로고
    • Food-sharing networks in Lamalera, Indonesia: Reciprocity, kinship, and distance
    • NOLIN, D. A. (2010). Food-sharing networks in Lamalera, Indonesia: Reciprocity, kinship, and distance. Hum. Nat. 21 243-268.
    • (2010) Hum. Nat , vol.21 , pp. 243-268
    • Nolin, D.A.1
  • 30
    • 84930921032 scopus 로고    scopus 로고
    • Learning exponential random graph models
    • Unpublished manuscript. Available at
    • PU, W., CHOI, J., AMIR, E. and ESPELAGE, D. L. (2013). Learning exponential random graph models. Unpublished manuscript. Available at https://www.ideals.illinois.edu/handle/2142/45098.
    • (2013)
    • Pu, W.1    Choi, J.2    Amir, E.3    Espelage, D.L.4
  • 32
    • 84879380670 scopus 로고    scopus 로고
    • Maximum likelihood estimation in the β-model
    • RINALDO, A., PETROVIĆ, S. and FIENBERG, S. E. (2013). Maximum likelihood estimation in the β-model. Ann. Statist. 41 1085-1110.
    • (2013) Ann. Statist , vol.41 , pp. 1085-1110
    • Rinaldo, A.1    Petrović, S.2    Fienberg, S.E.3
  • 33
    • 34147152799 scopus 로고    scopus 로고
    • Recent developments in exponential random graph (p*) models for social networks
    • ROBINS, G., SNIJDERS, T. A. B.,WANG, P., HANDCOCK, M. S. and PATTISON, P. (2007). Recent developments in exponential random graph (p*) models for social networks. Soc. Networks 29 192-215.
    • (2007) Soc. Networks , vol.29 , pp. 192-215
    • Robins, G.1    Snijders, T.A.B.2    Wang, P.3    Handcock, M.S.4    Pattison, P.5
  • 34
    • 80052860256 scopus 로고    scopus 로고
    • Spectral clustering and the high-dimensional stochastic blockmodel
    • ROHE, K., CHATTERJEE, S. and YU, B. (2011). Spectral clustering and the high-dimensional stochastic blockmodel. Ann. Statist. 39 1878-1915.
    • (2011) Ann. Statist , vol.39 , pp. 1878-1915
    • Rohe, K.1    Chatterjee, S.2    Yu, B.3
  • 35
    • 84855997865 scopus 로고    scopus 로고
    • Instability, sensitivity, and degeneracy of discrete exponential families
    • SCHWEINBERGER, M. (2011). Instability, sensitivity, and degeneracy of discrete exponential families. J. Amer. Statist. Assoc. 106 1361-1370.
    • (2011) J. Amer. Statist. Assoc , vol.106 , pp. 1361-1370
    • Schweinberger, M.1
  • 36
    • 84879144399 scopus 로고    scopus 로고
    • Consistency under sampling of exponential random graphmodels
    • SHALIZI, C. R. and RINALDO, A. (2013). Consistency under sampling of exponential random graphmodels. Ann. Statist. 41 508-535.
    • (2013) Ann. Statist , vol.41 , pp. 508-535
    • Shalizi, C.R.1    Rinaldo, A.2
  • 37
    • 33750596921 scopus 로고    scopus 로고
    • Non-parametric standard errors and tests for network statistics
    • SNIJDERS, T. A. B. and BORGATTI, S. P. (1999). Non-parametric standard errors and tests for network statistics. Connections 22 161-170.
    • (1999) Connections , vol.22 , pp. 161-170
    • Snijders, T.A.B.1    Borgatti, S.P.2
  • 38
    • 73649133526 scopus 로고    scopus 로고
    • Introduction to stochastic actor-based models for network dynamics
    • SNIJDERS, T. A. B., VAN DE BUNT, G. G. and STEGLICH, C. E. G. (2010). Introduction to stochastic actor-based models for network dynamics. Soc. Networks 32 44-60.
    • (2010) Soc. Networks , vol.32 , pp. 44-60
    • Snijders, T.A.B.1    Van De Bunt, G.G.2    Steglich, C.E.G.3
  • 39
    • 0021432544 scopus 로고
    • The interpretation and estimation of effective sample size
    • THIÉBAUX, H. J. and ZWIERS, F. W. (1984). The interpretation and estimation of effective sample size. J. Climate Appl. Meteor. 23 800-811.
    • (1984) J. Climate Appl. Meteor , vol.23 , pp. 800-811
    • Thiébaux, H.J.1    Zwiers, F.W.2
  • 41
    • 79952316681 scopus 로고    scopus 로고
    • Effective sample size: Quick estimation of the effect of related samples in genetic case-control association analyses
    • YANG, Y., REMMERS, E. F., OGUNWOLE, C. B., KASTNER, D. L., GREGERSEN, P. K. and LI, W. (2011). Effective sample size: Quick estimation of the effect of related samples in genetic case-control association analyses. Comput. Biol. Chem. 35 40-49.
    • (2011) Comput. Biol. Chem , vol.35 , pp. 40-49
    • Yang, Y.1    Remmers, E.F.2    Ogunwole, C.B.3    Kastner, D.L.4    Gregersen, P.K.5    Li, W.6


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.