Testing affiliation in private-values models of first-price auctions using grid distributions

Annals of Applied Statistics

Volumn 4, Issue 4, 2010, Pages 2073-2098

  de Castro, Luciano I ^a   Paarsch, Harry J ^b  

^a NORTHWESTERN UNIVERSITY   (United States)

^b UNIVERSITY OF MELBOURNE   (Australia)

Author keywords

Affiliation; First price; MTP 2; Sealed bid auctions

Indexed keywords

EID: 84856319310     PISSN: 19326157     EISSN: 19417330     Source Type: Journal    
DOI: 10.1214/10-AOAS344     Document Type: Article

References (30)

1. Bartolucci, F. and Forcina, A. (2000). A likelihood ratio test for MTP2 within binary variables. Ann. Statist. 28 1206-1218.
2. Brendstrup, B. O. and Paarsch, H. J. (2007). Semiparametric estimation of multi-object, sequential, English auctions. J. Econom. 141 84-108.
3. Bugni, F. (2008). Bootstrap inference in partially identified models. Typescript, Dept. Economics, Northwestern Univ.
4. de Castro, L. I. (2007). Affiliation, equilibrium existence, and the revenue ranking of auctions. Typescript, Dept. Economics, Carlos III Univ.
5. de Castro, L. I. (2008). Grid distributions to study single object auctions. Typescript, Dept. Economics, Univ. Illinois Urbana-Champaign.
6. de Castro, L. I. and de Frutos, M.-A. (2010). How to translate results from auctions to procurements. Econom. Lett. 106 115-118.
7. de Castro, L. I. and Paarsch, H. J. (2007). Testing for affiliation and monotone pure-strategy equilibrium in models of first-price auctions with private values. Typescript, Dept. Economics, Univ. Iowa.
8. de Castro, L. I. and Paarsch, H. J. (2008). Using grid distributions to test for affiliation in models of first-price auctions with private values. Typescript, Dept. Economics, Univ. Iowa.
9. de Castro, L. I. and Paarsch, H. J. (2010). Supplement to "Testing affiliation in private-values models of first-price auctions using grid distributions". DOI: 10.1214/10-AOAS344SUPP.
10. Douglas, R., Fienberg, S. E., Lee, M. L. T., Sampson, A. R. and Whitaker, L. R. (1990). Positive dependence concepts for ordinal contingency tables. In Topics in Statistical Dependence (H. W. Block, A. R. Sampson and T. H. Savits, eds.). IMS, Hayward, CA.
11. Guay, A., Guerre, E. and Lazarova, S. (2008). Optimal adaptive detection of small correlation functions. Typescript, Dept. Economics, Queen Mary Univ. London.
12. Hubbard, T. P., Li, T. and Paarsch, H. J. (2009). Semiparametric estimation in models of first-price, sealed-bid auctions with affiliation. Typescript, Dept. Economics, Univ. Melbourne.
13. Jun, S. J., Pinkse, J. and Wan, Y. (2009). A consistent nonparametric test of affiliation in auction models. Typescript, Dept. Economics, Pennsylvania State Univ.
14. Karlin, S. (1968). Total Positivity 1. Stanford Univ. Press, Stanford, CA.
15. Kodde, D. A. and Palm, F. C. (1986). Wald criteria for jointly testing equality and inequality restrictions. Econometrica 54 1243-1248.
16. Krishna, V. (2010). Auction Theory, 2nd ed. Academic Press, San Diego, CA.
17. Laffont, J.-J. and Vuong, Q. H. (1996). Structural analysis of auction data. Amer. Econom. Rev. 86 414-420.
18. Li, T. (2005). Econometrics of first-price auctions with binding reservation prices. J. Econom. 126 173-200.
19. Li, T., Perrigne, I. M. and Vuong, Q. H. (2000). Conditionally independent private information in OCS wildcat auctions. J. Econom. 98 129-161.
20. Li, T., Perrigne, I. M. and Vuong, Q. H. (2002). Structural estimation of the affiliated private value model. RAND J. Econom. 33 171-193.
21. Li, T. and Zhang, B. (2008). Testing for affiliation in first-price auctions using entry behavior. Typescript, Dept. Economics, Vanderbilt Univ.
22. Milgrom, P. R. and Weber, R. J. (1982). A theory of auctions and competitive bidding. Econometrica 50 1089-1122.
23. Politis, D. N., Romano, J. P. and Wolf, M. (1999). Subsampling. Springer, Berlin.
24. Romano, J. P. and Shaikh, A. M. (2008). Inference for identifiable parameters in partially identified econometric models. J. Statist. Plann. Inference 138 2786-2807.
25. Scott, D. W. (1992). Multivariate Density Estimation: Theory, Practice, and Visualization. Wiley, New York.
26. Slavković, A. B. and Fienberg, S. E. (2009). Algebraic geometry of 2×2 contingency tables. In Algebraic and Geometric Methods in Statistics (P. Gibilisco, E. Riccomagno, M.-P. Rogantin and H. P. Wynn, eds.). Cambridge Univ. Press, New York.
27. Wolak, F. A. (1987). An exact test for multiple inequality and equality constraints in the linear regression model. J. Amer. Statist. Assoc. 82 782-793.
28. Wolak, F. A. (1989a). Local and global testing of linear and nonlinear inequality constraints in nonlinear econometric models. Econometric Theory 5 1-35.
29. Wolak, F. A. (1989b). Testing inequality constraints in linear econometric models. J. Econom. 41 205-235.
30. Wolak, F. A. (1991). The local nature of hypothesis tests involving inequality constraints in nonlinear models. Econometrica 59 981-995.