---
res:
  bibo_abstract:
  - We discuss properties of distributions that are multivariate totally positive
    of order two (MTP2) related to conditional independence. In particular, we show
    that any independence model generated by an MTP2 distribution is a compositional
    semigraphoid which is upward-stable and singleton-transitive. In addition, we
    prove that any MTP2 distribution satisfying an appropriate support condition is
    faithful to its concentration graph. Finally, we analyze factorization properties
    of MTP2 distributions and discuss ways of constructing MTP2 distributions; in
    particular we give conditions on the log-linear parameters of a discrete distribution
    which ensure MTP2 and characterize conditional Gaussian distributions which satisfy
    MTP2.@eng
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Shaun
      foaf_name: Fallat, Shaun
      foaf_surname: Fallat
  - foaf_Person:
      foaf_givenName: Steffen
      foaf_name: Lauritzen, Steffen
      foaf_surname: Lauritzen
  - foaf_Person:
      foaf_givenName: Kayvan
      foaf_name: Sadeghi, Kayvan
      foaf_surname: Sadeghi
  - foaf_Person:
      foaf_givenName: Caroline
      foaf_name: Uhler, Caroline
      foaf_surname: Uhler
      foaf_workInfoHomepage: http://www.librecat.org/personId=49ADD78E-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0002-7008-0216
  - foaf_Person:
      foaf_givenName: Nanny
      foaf_name: Wermuth, Nanny
      foaf_surname: Wermuth
  - foaf_Person:
      foaf_givenName: Piotr
      foaf_name: Zwiernik, Piotr
      foaf_surname: Zwiernik
  bibo_doi: 10.1214/16-AOS1478
  bibo_issue: '3'
  bibo_volume: 45
  dct_date: 2017^xs_gYear
  dct_identifier:
  - UT:000404395900008
  dct_isPartOf:
  - http://id.crossref.org/issn/0090-5364
  dct_language: eng
  dct_publisher: Institute of Mathematical Statistics@
  dct_title: Total positivity in Markov structures@
...