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A novel method for computing exact p-values of one-sided statistics from the Kolmogorov-Smirnov family is presented.
Sulla determinazione empirica di una legge di distribuzione
Kolmogorov, A.N., 1933 · 1933
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Confidence Limits for Continuous Distribution Functions
Wald, A., Wolfowitz, J., 1939 · 1939
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On the theory of order statistics
Rényi, A., 1953 · 1953
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The Significance Level and Power of the Two-Sided Kolmogorov Test in the Case of Small Sample Sizes
Epanechnikov, V.A., 1968 · 1968
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The Calculation of Distributions of Kolmogorov-Smirnov Type Statistics Including a Table of Significance Points for a Particular Case
Noé, M., Vandewiele, G., 1968 · 1968
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Boundary-crossing probabilities for the Brownian motion and Poisson processes and techniques for computing the power of the Kolmogorov-Smirnov test
Durbin, J., 1971 · 1971
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Rectangle Probabilities for Uniform Order statistics and the Probability That the Empirical Distribution Function Lies Between Two Distribution Functions
Steck, G.P., 1971 · 1971
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The Calculation of Distributions of Two-Sided Kolmogorov-Smirnov Type Statistics
Noé, M., 1972 · 1972
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Distribution Theory for Tests Based on the Sample Distribution Function
Durbin, J., 1973 · 1973
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An almost optimal algorithm for unbounded searching
Bentley, J.L., Yao, A.C.C., 1976 · 1976
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Goodness-of-fit test statistics that dominate the Kolmogorov statistics
Berk, R.H., Jones, D.H., 1979 · 1979
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The Asymptotic Distribution of the Suprema of the Standardized Empirical Processes
Eicker, F., 1979 · 1979
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The Asymptotic Distribution of the Supremum of the Standardized Empirical Distribution Function on Subintervals
Jaeschke, D., 1979 · 1979
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On Computing the Probability of an Empirical Process not Crossing a Curvilinear Boundary
Kotel’nikova, V.F., Chmaladze, E.V., 1983 · 1983
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A Modified Kolmogorov-Smirnov Test Sensitive to Tail Alternatives
Mason, D.M., Schuenemeyer, J.H., 1983 · 1983
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Exact Power of Goodness-of-Fit Tests of Kolmogorov Type for Discontinuous Distributions
Gleser, L.J., 1985 · 1985
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Confidence Regions and Tests for a Change-Point in a Sequence of Exponential Family Random Variables
Worsley, K.J., 1986 · 1986
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Numerical recipes in C: the art of scientific computing
Press, W.H., Flannery, B.P., Teukolsky, S.A., T., V.W., 1992 · 1992
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Nonparametric Likelihood Confidence Bands for a Distribution Function
Owen, A.B., 1995 · 1995
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Exact computation for some sequential tests
Dongchu, S., 1998 · 1998
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Computation of the percentage points and the power for the two-sided Kolmogorov-Smirnov one sample test
Friedrich, T., Schellhaas, H., 1998 · 1998
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Calculation of noncrossing probabilities for Poisson processes and its corollaries
Khmaladze, E., Shinjikashvili, E., 2001 · 2001
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Polynomial structures in order statistics distributions
Denuit, M., Lefèvre, C., Picard, P., 2003 · 2003
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A Note on the Asymptotic Distribution of Berk—Jones Type Statistics under the Null Hypothesis, in: High Dimensional Probability III. Birkhäuser Basel, Basel, pp. 321–332
Wellner, J.A., Koltchinskii, V., 2003 · 2003
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Higher criticism for detecting sparse heterogeneous mixtures
Donoho, D., Jin, J., 2004 · 2004
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The Design and Implementation of FFTW3
Frigo, M., Johnson, S., 2005 · 2004
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A novel exact method for significance of higher criticism via Steck’s determinant
Miecznikowski, J.C., Wang, J., Gaile, D.P., Tritchler, D.L., 2017 · 2017
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A Study of Periodograms Standardized Using Training Datasets and Application to Exoplanet Detection
Sulis, S., Mary, D., Bigot, L., 2017 · 2017
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Towards Sound and Optimal Leakage Detection Procedure, in: Lecture Notes in Computer Science. Springer. volume 10728 LNCS, pp. 105–122
Ding, A.A., Zhang, L., Durvaux, F., Standaert, F.X., Fei, Y., 2018 · 2018
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Two-sample Kolmogorov–Smirnov-type tests revisited: Old and new tests in terms of local levels
Finner, H., Gontscharuk, V., 2018 · 2018
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Comparing distributions by multiple testing across quantiles or CDF values
Goldman, M., Kaplan, D.M., 2018 · 2018
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Jager, L., Wellner, J.A., 2004 · 2004
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A new goodness of fit test: the reversed Berk-Jones statistic
Jager, L., Wellner, J.A., 2005 · 2005
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Estimating the proportion of false null hypotheses among a large number of independently tested hypotheses
Meinshausen, N., Rice, J., 2006 · 2006
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Optimal distribution-free confidence bands for a distribution function
Frey, J., 2008 · 2007
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Genome-wide association analysis of metabolic traits in a birth cohort from a founder population
Sabatti, C., Service, S.K., Hartikainen, A.L., Pouta, A., Ripatti, S., Brodsky, J., Jones, C.G., Zaitlen, N.A., Varilo, T., Kaakinen, M., Sovio, U., Ruokonen, A., Laitinen, J., Jakkula, E., Coin, L., Hoggart, C., Collins, A., Turunen, H., Gabriel, S., Elliot, P., McCarthy, M.I., Daly, M.J., Järvelin, M.R., Freimer, N.B., Peltonen, L., 2009 · 2009
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Empirical Processes with Applications to Statistics
Shorack, G.R., Wellner, J.A., 2009 · 2009
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Innovated higher criticism for detecting sparse signals in correlated noise
Hall, P., Jin, J., 2010 · 2010
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Near-Optimal and Practical Algorithms for Graph Scan Statistics with Connectivity Constraints
Cadena, J., Chen, F., Vullikanti, A., 2019 · 2019
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On double-boundary non-crossing probability for a class of compound processes with applications
Dimitrova, D.S., Ignatov, Z.G., Kaishev, V.K., Tan, S., 2020a · 2019
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Two-Sided Exit Problems in the Ordered Risk Model
Goffard, P.O., 2019 · 2019
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Efficient calculation of the joint distribution of order statistics
von Schroeder, J., Dickhaus, T., 2020 · 2019
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Genetic Variant Set-Based Tests Using the Generalized Berk-Jones Statistic With Application to a Genome-Wide Association Study of Breast Cancer
Sun, R., Lin, X., 2019 · 2019
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Detection of sparse positive dependence
Arias-Castro, E., Huang, R., Verzelen, N., 2020 · 2020
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