@article{RSA_1970__18_2_5_0, author = {Indjoudjian, M. D.}, title = {Notes sur les propri\'et\'es des fonctions de r\'epartition empiriques}, journal = {Revue de Statistique Appliqu\'ee}, volume = {18}, year = {1970}, pages = {5-29}, language = {fr}, url = {http://dml.mathdoc.fr/item/RSA_1970__18_2_5_0} }
Indjoudjian, M. D. Notes sur les propriétés des fonctions de répartition empiriques. Revue de Statistique Appliquée, Tome 18 (1970) pp. 5-29. http://gdmltest.u-ga.fr/item/RSA_1970__18_2_5_0/
[1] On the number of positive sums of random variables " [Skand. Aktuarietidskrift, 32, pp. 27-36]. | MR 32115 | Zbl 0041.45006
, (1949 - "[2] Asymptotic theory of certain goodness of fit criteria based on stochastic processes ". [Ann. Math. Stat., 23, pp. 193-212]. | MR 50238 | Zbl 0048.11301
and (1952) - "[3] A test of goodness of fit" [J. Am. Stat. Ass., 49, pp. 765-769]. | MR 69459 | Zbl 0059.13302
and (1954) - "[4] Numerical tables of the distribution of Kolmogorov's statistics for finite sample size" [J. Am. Stat. Ass., 47, pp. 425-444]. | MR 50826 | Zbl 0047.38103
(1952) - "[5] On some distributions related to the statistics D+n" [Ann. Math. Stat., 29, pp. 179-187]. | MR 93873 | Zbl 0089.14803
and (1958) - "[6] One sided confidence contours for probability distribution functions" [Ann. Math. Stat., 22, pp. 592-596]. | MR 44081 | Zbl 0044.14601
and (1951) - "[7] A comparative study of several one-sided goodness of fit tests" [Ann. Math. Stat., 29, pp. 655-673]. | MR 109398 | Zbl 0086.12702
(1958) - "[8] Non negative jump points of an empirical distribution function relative to a theoretical distribution function" (en chinois, [traduit dans "Selected Transl. in Math. Stat. and Prob"., IMS and AMS*, vol. 3 (1962). ] | MR 155377 | Zbl 0171.39803
(1958) - "[9] The Kolmogorov-Smirnov, Cramér-von Mises tests" [Ann. Math. Stat., 28, pp. 823- 838]. | MR 93870 | Zbl 0082.13602
(1957) - "[10] Heuristic approach to Kolmogoro-Smirnov theorems [Ann. Math. Stat., 20, pp. 393- 403]. | MR 30732 | Zbl 0035.08901
(1949) - "[11] Some methods of constructing exact tests" [Biometrika, 48, pp. 41-55]. | MR 126313 | Zbl 0111.15703
(1961) - "[12] On combinatorial methods in fluctuation theory " [in "Probability and Statistics ", the Harald Cramér volume, edited by , J. Wiley, New York]: | MR 107884 | Zbl 0201.50202
(1959) - "[13] An introduction to probability theory and its applications" vol. 1, [J. Wiley, 3rd edon]. | MR 228020 | Zbl 0039.13201
(1968) - "[14] An introduction to probability theory and its applications" vol. 2, [J. Wiley] . | MR 210154 | Zbl 0138.10207
(1966) - "[15] Some results on the maximum discrepancy between two empirical distributions" [Sel. Transl., vol. 1, 1961]. | MR 116424 | Zbl 0112.11007
(1952) - "[16] On the maximum discrepancy between two empirical distributions" [Sel. Transl., vol. 1, 1961]. | MR 116418 | Zbl 0112.11006
and (1951) - "[17] On the distribution of the number of excesses of one distribution function over another" [Sel. transl., vol. 1, 1961)] | Zbl 0112.11102
and (1952) - "[18] Two theorems on the behaviour of empirical distribution functions " [Sel. transl., vol. 1, 1961).] | Zbl 0112.11101
and (1953) - "[19] On a problem of the comparison of two empirical distributions" [Sel. Transl., vol. 1, 1961]. | MR 116421 | Zbl 0112.11104
and (1952) - "[20] On deviations between theoretical and empirical distributions" [Proc. Nat. Acad. Sc., U.S.A., 35, pp. 252- 257]. | MR 29490 | Zbl 0033.19303
(1949) - "[21] On tests of normality and other goodness of fit tests on distance méthods" [Ann. Math. Stat., 29, pp. 655- 673]. | Zbl 0066.12301
, and (1955) - "[22] On the discrepancy of empirical distribution functions for the case of two independant samples " [Sel. transl., vol. 4, 1963]. | Zbl 0168.17801
(1955) - "[23] Distribution of the Anderson-Darling statistic" [Ann. Math. Stat., 32, pp. 1118-1123]. | MR 131916 | Zbl 0201.52305
(1961) - "[24] The samll sample distribution of n ω2n" [Ann. Math. Stat., 29, pp. 307-309]. | Zbl 0086.35103
(1950) - "[25 ] A note on the power of a non-parametric test" [Ann. Math. Stat., 20, pp. 440- 445]. | MR 36488 | Zbl 0039.14702
(1950) - "[26] The Kolmogorov-Smirnov test of goodness of fit" [J. Ann. Stat. Ass., 46, pp. 68- 78]. | Zbl 0042.14403
(1951) - "[27] Correction to Massey (1950" [Ann. Math. Stat., 23, pp. 637-638]. | MR 50851
(1952) - "[28] On the mutual discrepancy of two empirical distribution functions" [Sel. transl., vol. 1, 1961]. | Zbl 0112.11103
(1952) - "[29] Tables of percentage points of Kolmogorov statistics" [J. Am. Stat. Ass., 51, pp. 111- 121]. | MR 77063 | Zbl 0071.13301
(1956) - "[30] Handbook of statistical tables" [Addison Wesley, Reading (Mass. ] | MR 161401 | Zbl 0102.35203
(1962) - "[31] The goodness of fit tests based on W and W[Biometrika, 49, pp. 397-402]. | MR 166879 | Zbl 0221.62015
and (1962) - "[32] Calcul des probabilités" [Dunod, Paris] | MR 202161 | Zbl 0141.14702
(1966) - "[33] On the estimation of the discrepancy between empirical curves of distributions for two independant samples" [Byull. Moskov. Gos. Univ. Sect. A2 - n° 2]. | JFM 65.1356.04 | Zbl 0023.24902
(1939) - "[34] On the Cramér-von Mises criterion" [Uspehi Matem. Nauk. (NS), 4, pp. 196- 197]. | MR 32168
(1949) - "[35] A combinatorial lemma and its applications to probability theory" [Transact. Amer. Math. Soc., 82, pp. 323-339]. | MR 79851 | Zbl 0071.13003
(1956) - "[36] Combinatorial methods in the theory of stochastic processes" [J. Wiley, New York]. | MR 217858 | Zbl 0162.21303
(1967) - "[37] Some contribution to the theory of order statistics " (A paraître).
(1968) - "[38] A distribution - free version of the smirnov Fwo-sample test in the p-variate case" (A paraître). | Zbl 0179.48704
(1968) - "[39] Convergence of probability measures" [J. Wiley, New York] . | MR 233396 | Zbl 0172.21201
(1968) - "[40] An extension of the Kolmogorov distribution Ann. Math. Stat., 27, pp. 513- 520 + Correction : [Ann. Math. Stat., 29, pp. 318-324).] | MR 82751 | Zbl 0116.10704
(1956) - "[41] Distribution free tests of independance based on the sample distribution function" [Ann. Math. Stat., 32, pp. 485-498]. | MR 125690 | Zbl 0139.36301
and (1961) - "[42] Asymptotic efficiency of certain locally most powerful rank tests" [Ann. Math. Stat., 32, pp. 88-100] | MR 120739 | Zbl 0107.13703
(1961) - "[42 bis] Asymptotic efficiency of certain locally most powerful rank tests" [J. Amer. Stat. Ass., 60, pp. 843-853]. | MR 185758 | Zbl 0135.19601
(1961) - "[43] Sur les théorèmes de Kolmogorov et Smirnov dans le cas d'une distribution discontinue" [Comm. Math. Helveltici, 37, pp. 19-35]. | MR 154311 | Zbl 0116.37503
(1962) - "[44] On the distribution of the Kolmogorov-Smirnov Statistic" - [Ann. Math. Stat., 30, pp. 173-176]. | MR 100942 | Zbl 0099.34702
(1959) - "[45] Weak convergence of stochastic processes whose trajectories have no discontinuities of the second king and the "heuristic" approach to the Kolmogorov-Smirnov tests" [Theor. Probability Appl., 1, pp. 140-144].
(1956) - "[46] An investigation of the asymptotic power of the tests of fit" [Theor. Probability Appl., 10, pp. 421-437]. | MR 191025 | Zbl 0139.37302
(1965) - "[47 ] A three-sample Kolmogorov-Smirnov test" [Ann. Math. Stat., 21, pp. 488-506]. | MR 93871 | Zbl 0089.14901
(1958) - "[48 ] Justification and extension of Doob's heuristic approach to the Kolmogorov-Smirnov theorems " [Ann. Math. Stat., 22, pp. 277-281]. | MR 47288 | Zbl 0046.35103
(1952) - "[49] Some distribution-free tests for the difference between two empirical distribution functions" [Ann. Math. Stat., 23, pp. 563-574]. | MR 51492 | Zbl 0047.38202
(1952) - "[50 ] On a result by M. Rosenblatt concerning the von-Mises Smirnov test" [Ann. Math. Stat., 31, pp. 427- 429]. | MR 121918 | Zbl 0105.33803
(1960) - "[51] Some non-parametric tests for the k-sample problem " [colloquium math. 7, pp. 289-296]. | MR 112222 | Zbl 0094.14001
(1960) - "[52] Tests of homogeneity of probability distributions in two independant samples" (en russe) [Math. Nachrichten, 12, pp. 29-66]. | MR 65875 | Zbl 0058.34304
(1954) - "[52 bis] Theory of rank tests" [Acad. press, New York and Acad. publishing house of the Czechoslovak Academy of sc., Prague]. | MR 229351 | Zbl 0161.38102
and - "[53] A combinatorial central limit theorem" [Ann. Math. Stat., 22, pp. 558-566]. | MR 44058 | Zbl 0044.13702
(1951) - "[54] Kolmogorov-Smirnov test in life test [Ann. Inst. Stat. Math. 10, pp. 37-38]. | MR 100331 | Zbl 0085.13401
(1958) - "[55] A two-sample distribution free test" [Biometrika, 43, pp. 377-387]. | MR 83870 | Zbl 0074.13404
(1956) - "[56] A first course in stochastic processes" [Acad. press. New York - Chapitre 9 - ] | MR 208657
(1966) - "[57] k-sample analogues of the Kolmogorov-Smirnov and Cramér-von Mises tests" [Ann. Math. Stat., 30, pp. 42 à 447]. | MR 102882 | Zbl 0134.36707
(1959) - "[58] On the Hoeffding's combinatorial central limit theorem" [Ann. Inst. Stat. Math., 8, pp. 145- 154]. | MR 89560 | Zbl 0084.13802
(1957) - "[59] Note on the Kolmogorov statistic in the discrete case" [Metrika, 7, pp. 115- 116]. | MR 158462 | Zbl 0115.36702
(1963) - "[60] Limit theorems associated with variants of the von Mises Statistic" [Ann. Math. Stat. 23, pp. 617 -623]. | MR 52732 | Zbl 0048.36003
(1952) - "[61] On the Kolmogorov-Smirnov limit theorems for discontinuous functions" [Ann. Math. Stat., 29, pp. 1011-1027]. | MR 101582 | Zbl 0094.13205
(1958) - "[62] An extension of Massey's distribution of the maximum deviation between two sample cumulative step functions" [Ann. Math. Stat., 25, pp. 587-592]. | MR 64355 | Zbl 0058.35201
(1954) - "[63 ] A quick, compact, Fwo-sample test to Duckworth's specifications" [Technometrics, 1, pp. 31- 48]. | MR 106527
(1959) - "