%-----------------------------------------------------------------
% Empirical measures - Convergence rates - Glivenko-Cantelli  I
%-----------------------------------------------------------------
@article
 {gs1,
  author="P. Gaenssler and W. Stute",
  title="Empirical processes : a survey of results for independent and
         identically distributed random variables",
  journal="The Annals of Probability",
  year="1979",
  volume="7",
  number="2",  
  pages="193-243"
 }


@article
 {kom,
  author="J. Komlos and others",
  title="An approximation of partial sums of independent RV-s, and the
         sample DF. I",
  journal="Z. Wahrscheinlichkeitstheorie verw. Gebiete",
  year="1975",
  volume="32",
  number="",  
  pages="111-131"
 }


@article
 {csr,
  author="M. Csorgo and P. Revesz",
  title="A new method to prove Strassen type laws of invariance 
         principle. I - II",
  journal="Z. Wahrscheinlichkeitstheorie verw. Gebiete",
  year="1975",
  volume="31",
  number="",  
  pages="255-259 / 261 - 269"
 }


@article
 {kief,
  author="J. Kiefer",
  title="Skorohod embedding of multivariate RV's, and
         the sample DF",
  journal="Z. Wahrscheinlichkeitstheorie verw. Gebiete",
  year="1972",
  volume="24",
  number="",
  pages="1-35"
 }

@article
 {klc,
  author="Kai-Lai Chung",
  title="An estimate concerning the Kolmogoroff limit distribution",
  journal="Trans. Amer. Math. Soc.",
  year="1949",
  volume="67",
  number="",
  pages="36-50"
 }

@article
 {dbr,
  author="D. Brillinger",
  title="An asymptotic representation of the sample distribution 
         function",
  journal="Bull. Amer. Math. Soc.",
  year="1969",
  volume="75",
  number="",
  pages="545-547"
 }


@article
 {edd,
  author="F. Eddy and J. Hartigan",
  title="Uniform convergence of the empirical distribution function
         over convex sets",
  journal="The Annals of Statistics",
  year="1977",
  volume="5",
  number="2",  
  pages="370-374"
 }

@article
 {elk1,
  author="J. Elker and D. Pollard and W. Stute",
  title="Glivenko-Cantelli theorems for classes of convex sets",
  journal="Adv. Appl. Prob.",
  year="1979",
  volume="11",
  number="",  
  pages="820-833"
 }

@article
 {rao1,
  author="R. Rao",
  title="Relations between weak and uniform convergence of measures with
         applications",
  journal="The Annals of Statistics",
  year="1962",
  volume="33",
  number="",  
  pages="659-680"
 }

@article
 {stee,
  author="M. Steele",
  title="Empirical discrepancies and subadditive processes",
  journal="The Annals of Probability",
  year="1978",
  volume="6",
  number="1",  
  pages="118-127"
 }

@article
 {deh1,
  author="J. Dehardt",
  title="A necessary  condition for Glivenko-Cantelli convergence in $E_{n}$",
  journal="The Annals of Statistics",
  year="1970",
  volume="41",
  number="6",  
  pages="2177-2178"
 }

@article
 {for,
  author="M. Fortet and E. Mourier",
  title="Convergence de la repartition empirique vers la repartition
         theorique",
  journal="Annales scientifiques de l'Ecole Normale Superieure",
  year="1953",
  volume="70",
  number="",  
  pages="267-285"
 }

@article
 {deh2,
  author="J. Dehardt",
  title="Generalazations of the Glivenko-Cantelli theorem",
  journal="The Annals of Statistics",
  year="1971",
  volume="42",
  number="6",  
  pages="2050-2055"
 }

@article
 {vap1,
  author="V. Vapnik and A. Chervonenkis",
  title="Necessary and sufficient conditions for the uniform convergence
         of means to their expectations",
  journal="Theory of probability and its applications",
  year="1981",
  volume="26",
  number="3",  
  pages="532-553"
 }

@article
 {pyk,
  author="R. Pyke",
  title="The weak convergence of the empirical process with random sample
         size",
  journal="Proc. Camb. Phil. Soc.",
  year="1968",
  volume="64",
  number="",  
  pages="155-160"
 }

@article
 {elk2,
  author="F. Elker",
  title="On the probability that a sample distribution function lies below
         a kine segment",
  journal="The Annals of Statistics",
  year="1970",
  volume="41",
  number="6",  
  pages="2075-2092"
 }

@article
 {stu1,
  author="W. Stute",
  title="Convergence rates for the isotrope discrepancy",
  journal="The Annals of Probability",
  year="1977",
  volume="5",
  number="5",  
  pages="707-723"
 }

@article
 {dev1,
  author="L. Devroye",
  title="Bounds for the uniform Deviation of Empirical measures",
  journal="Journal of Multivariate Analysis",
  year="1982",
  volume="12",
  number="",  
  pages="72-79"
 }

@article
 {wel,
  author="J. Wellner",
  title="A Glivenko-Cantelli theorem and strong laws of large numbers for 
         functions of order statistics",
  journal="The Annals of Statistics",
  year="1977",
  volume="5",
  number="3",  
  pages="473-480"
 }

@article
 {dud1,
  author="RM. Dudley",
  title="The speed of mean Glivenko-Cantelli convergence",
  journal="The Annals of Statistics",
  year="1969",
  volume="40",
  number="1",  
  pages="40-50"
 }

@inproceedings
 {cso,
  author="M. Csorgo and M. Burke",
  title="Weak approximations of the empirical process when parameters are
         estimated",
  booktitle="Lect. Notes in Math",
  year="1976",
  number="566",  
  pages=""
 }

@inproceedings
 {stu2,
  author="W. Stute",
  title="A necessary condition for the convergence of the isotrope discrepancy",
  booktitle="Lect. Notes in Math",
  year="1976",
  number="566",  
  pages=""
 }

@inproceedings
 {pg2,
  author="P. Gaenssler and W. Stute",
  title="On Uniform convergence of measures with applications to uniform
         convergence of empirical distributions",
  booktitle="Lect. Notes in Math",
  year="1976",
  number="566",  
  pages=""
 }

@inproceedings
 {kri,
  author="K. Krickeberg",
  title="An alternative approach to Glivenko-Cantelli theorems",
  booktitle="Lect. Notes in Math",
  year="1976",
  number="566",  
  pages=""
 }

@article
 {stu3,
  author="W. Stute",
  title="On a generalization of the Glivenko-Cantelli theorem",
  journal="Z. Wahrscheinliehkeitstheorie verw. Gebiete",
  year="1976",
  volume="35",
  number="",
  pages="167-175",
 }

@article
 {var1,
  author="V. Varadarajan",
  title="On the convergence of probability distributions",
  journal="Sankhya",
  year="1958",
  volume="19",
  number="",  
  pages="23-26"
 }

@article
 {var2,
  author="V. Varadarajan",
  title="On the convergence of probability distributions",
  journal="Sankhya",
  year="1958",
  volume="19",
  number="",  
  pages="23-26"
 }

@article
 {var3,
  author="V. Varadarajan",
  title="On the convergence of probability distributions",
  journal="Sankhya",
  year="1958",
  volume="19",
  number="",  
  pages="15-22",
 }


@article
 {lsw,
  author="R. Luccheti and G. Salinetti and R. Wets",
  title="Uniform convergence of probability measures: topological criteria",
  journal="Journal of Multivariate Analysis",
  year="1994",
  volume="51",
  number="",
  pages="252-264"
}

@article
 {tal,
  author="M. Talagrand",
  title="The transportation cost from the uniform measure to
         the empirical measure in dimension $\geq 3$",
  journal="The Annals of probability",
  year="1994",
  volume="22",
  number="2",
  pages="919-959"
}