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Sharp total variation bounds for finitely exchangeable arrays

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  • Volfovsky, Alexander
  • Airoldi, Edoardo M.

Abstract

In this article we demonstrate the relationship between finitely exchangeable arrays and finitely exchangeable sequences. We then derive sharp bounds on the total variation distance between distributions of finitely and infinitely exchangeable arrays.

Suggested Citation

  • Volfovsky, Alexander & Airoldi, Edoardo M., 2016. "Sharp total variation bounds for finitely exchangeable arrays," Statistics & Probability Letters, Elsevier, vol. 114(C), pages 54-59.
    • Handle: RePEc:eee:stapro:v:114:y:2016:i:c:p:54-59
    DOI: 10.1016/j.spl.2016.02.013
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    1. Hoff P.D. & Raftery A.E. & Handcock M.S., 2002. "Latent Space Approaches to Social Network Analysis," Journal of the American Statistical Association, American Statistical Association, vol. 97, pages 1090-1098, December.
    2. Hoover, D. N., 1989. "Tail fields of partially exchangeable arrays," Journal of Multivariate Analysis, Elsevier, vol. 31(1), pages 160-163, October.
    3. Alexander Volfovsky & Peter D. Hoff, 2015. "Testing for Nodal Dependence in Relational Data Matrices," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 110(511), pages 1037-1046, September.
    4. Aldous, David J., 1981. "Representations for partially exchangeable arrays of random variables," Journal of Multivariate Analysis, Elsevier, vol. 11(4), pages 581-598, December.
    5. Hoff, Peter & Fosdick, Bailey & Volfovsky, Alex & Stovel, Katherine, 2013. "Likelihoods for fixed rank nomination networks," Network Science, Cambridge University Press, vol. 1(3), pages 253-277, December.
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    Cited by:

    1. Bryan S. Graham, 2019. "Network Data," NBER Working Papers 26577, National Bureau of Economic Research, Inc.
    2. Bryan S. Graham, 2019. "Network Data," CeMMAP working papers CWP71/19, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.

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