%----------------------------------------------------------------------
% Empirical measures - Convergence rates - Glivenko-Cantelli  II
%----------------------------------------------------------------------
@article
 {fin,
  author="H. Finkelstein",
  title="The law of the iterated logarithm for empirical distributions",
  journal="The Annals of Mathematical Statistics",
  year="1971",
  volume="42",
  number="2",  
  pages="607-615"
 }

@article
 {bax,
  author="G. Baxter",
  title="An analogue of the law of the iterated logarithm",
  journal="Proc. Amer. Math Society",
  year="1955",
  volume="6",
  number="",  
  pages="177-181"
 }

@article
 {cass,
  author="J. Cassels",
  title="An extension of the law of the iterated logarithm",
  journal="Proc. Cambridge Philos. Soc.",
  year="1951",
  volume="47",
  number="",  
  pages="55-64"
 }

@article
 {jaf,
  author="J. Allen Fill",
  title="Convergence rates related to the strong law of large numbers",
  journal="The Annals of Mathematical Statistics",
  year="1983",
  volume="11",
  number="1",  
  pages="123-142"
 }

@article
 {hall,
  author="P. Hall",
  title="Characterizing the rate of convergence in the central limit theorem",
  journal="The Annals of Probability",
  year="1980",
  volume="8",
  number="6",  
  pages="1037-1048"
 }

@article
 {sto,
  author="M. Stone",
  title="Large deviations for empirical probability measures",
  journal="The Annals of Mathematical Statistics",
  year="1974",
  volume="2",
  number="2",  
  pages="362-366"
 }

@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
 {dur,
  author="J. Durbin",
  title="Weak convergence of the sample distribution function when parameters
         are estimated",
  journal="The Annals of Mathematical Statistics",
  year="1973",
  volume="1",
  number="2",  
  pages="279-290"
 }

@article
 {dud1,
  author="RM. Dudley",
  title="Speeds of Metric Probability Convergence",
  journal="Z. Wahrscheinlichkeitstheorie verw. Gebiete",
  year="1972",
  volume="22",
  number="",  
  pages="323-332"
 }

@article
 {nor,
  author="R. Norvaisha",
  title="The central limit theorem for empirical and quantile processes in 
         $L_{p}$ spaces, $1 \leq P \leq \infty$",
  journal="TPA",
  year="1990",
  volume="37",
  number="2",
  pages="302-313"
 }

@article
 {top,
  author="F. Topsoe",
  title="Uniformity in Convergence of Measures",
  journal="Z. Wahrscheinlichkeitstheorie verw. Gebiete",
  year="1977",
  volume="39",
  number="",  
  pages="1-30"
 }

@article
 {sag,
  author="T. Sager",
  title="Estimation of a multivariate mode",
  journal="The Annals of Mathematical Statistics",
  year="1978",
  volume="6",
  number="4",  
  pages="802-812"
 }

@article
 {zar,
  author="S. Zaremba",
  title="Sur la discrepance des suites al\'eatoires",
  journal="Z. Wahrscheinlichkeitstheorie verw. Gebiete",
  year="1971",
  volume="20",
  number="",  
  pages="236-248"
 }

@article
 {top1,
  author="F. Topsoe",
  title="On the Glivenko-Cantelli theorem",
  journal="Z. Wahrscheinlichkeitstheorie verw. Gebiete",
  year="1970",
  volume="14",
  number="",  
  pages="239-250"
 }

@article
 {cso,
  author="M. Csorgo and P. Revesz",
  title="Strong approximations of the quantile process",
  journal="The Annals of Mathematical Statistics",
  year="1978",
  volume="6",
  number="4",  
  pages="882-894"
 }

@article
 {wic,
  author="M. Wichura",
  title="On the construction of almost uniformly convergent random variables
         with given weakly convergent image laws",
  journal="The Annals of Mathematical Statistics",
  year="1970",
  volume="41",
  number="1",  
  pages="284-291"
 }

@article
 {mul,
  author="D. Muller",
  title="On GC convergence",
  journal="Z. Wahrscheinlichkeitstheorie verw. Gebiete",
  year="1970",
  volume="16",
  number="",  
  pages="195-210"
 }

@article
 {top3,
  author="F. Topsoe",
  title="On the connection between P-continuity and P-uniformity in weak
         convergence",
  journal="Theory of probability and its applications",
  year="1967",
  volume="12",
  number="2",  
  pages=""
 }

@article
 {dud2,
  author="RM. Dudley",
  title="Central Limit Theorem for Empirical Measures",
  journal="The Annals of Probability",
  year="1978",
  volume="6",
  number="6",  
  pages="899-929"
 }

@article
 {dvo,
  author="A. Dvoretzky and others",
  title="Asymptotic minimax character of the sample distribution function and 
         of the classical multinomial estimator",
  journal="The Annals of Mathematical Statistics",
  year="1956",
  volume="27",
  number="",  
  pages="642-669"
 }


@article
 {dev,
  author="L. Devroye and T. Wagner",
  title="A distribution free performance bound in error estimation",
  journal="IEEE Trans. on Information Theory",
  year="1976",
  volume="",
  number="",  
  pages="586-587",
 }


@article
 {gin,
  author="E. Gine and J. Zinn",
  title="Some limit theorems for empirical processes",
  journal="The Annals of Probability",
  year="1984",
  volume="12",
  number="4",  
  pages="929-989"
 }

@article
 {tal1,
  author="M. Talagrand",
  title="Donsker classes of sets",
  journal="Probability Theory and Related fields",
  year="1988",
  volume="78",
  number="",  
  pages=""
 }

@article
 {tal2,
  author="M. Talagrand",
  title="Measurability theory for empirical processes",
  journal="The Annals of Probability",
  year="1987",
  volume="15",
  number="1",  
  pages="204-212"
 }

@article
 {tal3,
  author="M. Talagrand",
  title="Donsker classes and random geometry",
  journal="The Annals of Probability",
  year="1987",
  volume="15",
  number="4",  
  pages="1327-1338"
 }

@article
 {dud3,
  author="RM. Dudley",
  title="Universal Donsker Classes and metric entropy",
  journal="The Annals of Probability",
  year="1987",
  volume="15",
  number="4",  
  pages="1306-1326"
 }

@article
 {lep,
  author="R. LePage and others",
  title="Convergence to a stable distribution via order statistics",
  journal="The Annals of Probability",
  year="1981",
  volume="9",
  number="4",  
  pages="624-632"
 }

@article
 {tal4,
  author="M. Talagrand",
  title="The Glivenko-Cantelli problem",
  journal="The Annals of Probability",
  year="1987",
  volume="15",
  number="3",  
  pages="837-870"
 }

@article
 {jam,
  author="B. James",
  title="A functional law of the iterated logarithm for weighted empirical
         distributions",
  journal="The Annals of Probability",
  year="1975",
  volume="3",
  number="5",  
  pages="762-772"
 }


@article
 {lor,
  author="G. Lorentz",
  title="Lower bounds for the degree of approximation",
  journal="Trans. Amer. Math. Soc.",
  year="1960",
  volume="97",
  number="",  
   pages="25-34"
 }


@article
 {war,
  author="H. Warren",
  title="Lower bounds for approximations by nonlinear manifolds",
  journal="Trans. Amer. Math. Soc.",
  year="1968",
  volume="133",
  number="",  
  pages="167-178"
 }


@article
 {xx,
  author="X. Xiang",
  title="A law of the logarithm for kernell quantile density
         estimators",
  journal="The Annals of Probability",
  year="1994",
  volume="22",
  number="2",
  pages="1078-1091"
}