Cramér‐von Mises statistics for discrete distributions
A shortened version of this paper was presented at the Wilks Conference, Princeton, N.J., February 1992, in honour of the work of Professor G.S. Watson.
Abstract
enCramér‐von Mises statistics are developed for use in testing for discrete distributions, and tables are given for tests for the discrete uniform distribution.
Abstract
frNous développons des statistiques Cramér‐von Mises dans le but de tester des distributions discrètes, et présentons des tableaux pour des tests de la distribution uniforme discrète.
Citing Literature
Number of times cited according to CrossRef: 63
- Raphael Hartmann, Karl Christoph Klauer, Extending RT-MPTs to enable equal process times, Journal of Mathematical Psychology, 10.1016/j.jmp.2020.102340, 96, (102340), (2020).
- Tiantian Liu, Marc Ditzhaus, Jin Xu, A resampling‐based test for two crossing survival curves, Pharmaceutical Statistics, 10.1002/pst.2000, 19, 4, (399-409), (2020).
- Jiri Horak, Lucie Orlikova, undefined, 2019 International Conference on Military Technologies (ICMT), 10.1109/MILTECHS.2019.8870075, (1-6), (2019).
- Pablo Montero‐Manso, José A. Vilar, Two‐sample homogeneity testing: A procedure based on comparing distributions of interpoint distances, Statistical Analysis and Data Mining: The ASA Data Science Journal, 10.1002/sam.11417, 12, 3, (234-252), (2019).
- Sharon L. Lohr, Minsun K. Riddles, J. Michael Brick, Goodness‐of‐fit tests for distributions estimated from complex survey data, Canadian Journal of Statistics, 10.1002/cjs.11501, 47, 3, (409-425), (2019).
- Min-Hsiung Hsieh, Shuen-Lin Jeng, Paul Kvam, Critical fault-detecting time evaluation in software with discrete compound Poisson models, Journal of Quality Technology, 10.1080/00224065.2018.1545494, (1-15), (2019).
- Jeffrey S. Racine, Ingrid Van Keilegom, A Smooth Nonparametric, Multivariate, Mixed-Data Location-Scale Test, Journal of Business & Economic Statistics, 10.1080/07350015.2019.1574227, (1-12), (2019).
- Andrew R. Barron, Mirta Benšić, Kristian Sabo, A note on weighted least square distribution fitting and full standardization of the empirical distribution function, TEST, 10.1007/s11749-018-0578-2, 27, 4, (946-967), (2018).
- Zhenmin Chen, Multivariate Uniformity Test Based on Incomplete Samples, International Journal of Reliability, Quality and Safety Engineering, 10.1142/S0218539317500255, 24, 05, (1750025), (2017).
- Jeffrey Racine, Ingrid Van Keilegom, A Smooth Nonparametric, Multivariate, Mixed-Data Location-Scale Test, SSRN Electronic Journal, 10.2139/ssrn.3020789, (2017).
- Darika Yamrubboon, Ampai Thongteeraparp, Winai Bodhisuwan, Katechan Jampachaisri, undefined, , 10.1063/1.5012263, (050044), (2017).
- Rosalind K. Humphreys, Graeme D. Ruxton, Consequences of grouped data for testing for departure from circular uniformity, Behavioral Ecology and Sociobiology, 10.1007/s00265-017-2393-2, 71, 11, (2017).
- Richard J. Hall, Adam A. Scaife, Edward Hanna, Julie M. Jones, Robert Erdélyi, Simple Statistical Probabilistic Forecasts of the Winter NAO, Weather and Forecasting, 10.1175/WAF-D-16-0124.1, 32, 4, (1585-1601), (2017).
- Peter Morley, Douglas Buettner, Weak Lensing Data and Condensed Neutrino Objects, Universe, 10.3390/universe3040081, 3, 4, (81), (2017).
- Annette Witt, Bruce D. Malamud, Clara Mangili, Achim Brauer, Analysis and modelling of a 9.3 kyr palaeoflood record: correlations, clustering, and cycles, Hydrology and Earth System Sciences, 10.5194/hess-21-5547-2017, 21, 11, (5547-5581), (2017).
- T. M. Loughin, N. Payne, R. Casilla, C. Lum, Statistical Modeling of Discrete Percentage Measurements With Application to Construction of Acceptance Bounds for Wood Failure in Structural Adhesive Testing, Journal of Testing and Evaluation, 10.1520/JTE20150189, 45, 5, (20150189), (2016).
- Winai Bodhisuwan, Suttida Sangpoom, undefined, 2016 12th International Conference on Mathematics, Statistics, and Their Applications (ICMSA), 10.1109/ICMSA.2016.7954317, (99-103), (2016).
- F. Chen, G.H. Huang, Y.R. Fan, S. Wang, A copula-based chance-constrained waste management planning method: An application to the city of Regina, Saskatchewan, Canada, Journal of the Air & Waste Management Association, 10.1080/10962247.2015.1135837, 66, 3, (307-328), (2016).
- Mike Thelwall, Are the discretised lognormal and hooked power law distributions plausible for citation data?, Journal of Informetrics, 10.1016/j.joi.2016.03.001, 10, 2, (454-470), (2016).
- Isola Ajiferuke, Dietmar Wolfram, Felix Famoye, Sample size and informetric model goodness-of-fit outcomes: a search engine log case study, Journal of Information Science, 10.1177/0165551506064361, 32, 3, (212-222), (2016).
- M. Lesperance, W. J. Reed, M. A. Stephens, C. Tsao, B. Wilton, Assessing Conformance with Benford’s Law: Goodness-Of-Fit Tests and Simultaneous Confidence Intervals, PLOS ONE, 10.1371/journal.pone.0151235, 11, 3, (e0151235), (2016).
- Jin Seo Cho, Myung-Ho Park, Peter C. B. Phillips, Minimum Distance Testing and Top Income Shares in Korea, SSRN Electronic Journal, 10.2139/ssrn.2622639, (2015).
- M.V. Lund, M.J.G. Borge, J.A. Briz, J. Cederkäll, H.O.U. Fynbo, J.H. Jensen, B. Jonson, K.L. Laursen, T. Nilsson, A. Perea, V. Pesudo, K. Riisager, O. Tengblad, Systematic trends in beta-delayed particle emitting nuclei: The case of emission from 21 Mg , Physics Letters B, 10.1016/j.physletb.2015.09.044, 750, (356-359), (2015).
- Hatim Solayman Migdadi, On the Power Performance of Test Statistics for the Generalized Rayleigh Interval Grouped Data, Open Journal of Statistics, 10.4236/ojs.2015.55049, 05, 05, (474-482), (2015).
- M. V. Lund, M. J. G. Borge, J. A. Briz, J. Cederkäll, H. O. U. Fynbo, J. H. Jensen, B. Jonson, K. L. Laursen, T. Nilsson, A. Perea, V. Pesudo, K. Riisager, O. Tengblad, Beta-delayed proton emission from 21Mg, The European Physical Journal A, 10.1140/epja/i2015-15113-1, 51, 9, (2015).
- John C.W. Rayner, Oliver Thas, Donald J. Best, Statistical Distribution Models: Goodness of Fit Tests, International Encyclopedia of the Social & Behavioral Sciences, 10.1016/B978-0-08-097086-8.42047-7, (397-404), (2015).
- Alessandra Casella, Thomas Palfrey, Sébastien Turban, Vote trading with and without party leaders, Journal of Public Economics, 10.1016/j.jpubeco.2014.01.001, 112, (115-128), (2014).
- Benjamin J. Morgan, Paul A. Madden, Relationships between Atomic Diffusion Mechanisms and Ensemble Transport Coefficients in Crystalline Polymorphs, Physical Review Letters, 10.1103/PhysRevLett.112.145901, 112, 14, (2014).
- Data visualisation, Correspondence Analysis, undefined, (1-43), (2014).
- Michael A. Stephens, Empirical Distribution Function (EDF) Statistics, Wiley StatsRef: Statistics Reference Online, 10.1002/9781118445112, (1-13), (2014).
- Davide Provenzano, Power laws and the market structure of tourism industry, Empirical Economics, 10.1007/s00181-013-0769-3, 47, 3, (1055-1066), (2013).
- Evan Watkins, Julian Di Stefano, Quantifying annual patterns in the frequency of mammalian births: do goodness-of-fit tests provide adequate inferences?, Australian Journal of Zoology, 10.1071/ZO12056, 60, 6, (381), (2012).
- References, Forecast Verification, 10.1002/9781119960003, (251-266), (2012).
- Aris A. Syntetos, M. Zied Babai, David Lengu, Nezih Altay, Distributional Assumptions for Parametric Forecasting of Intermittent Demand, Service Parts Management, 10.1007/978-0-85729-039-7, (31-52), (2011).
- ZHENMIN CHEN, CHUNMIAO YE, AN ALTERNATIVE TEST FOR UNIFORMITY, International Journal of Reliability, Quality and Safety Engineering, 10.1142/S0218539309003435, 16, 04, (343-356), (2011).
- J. C. W. Rayner, O. Thas, D. J. Best, References, Smooth Tests of Goodness of Fit, 10.1002/9780470824443, (259-268), (2010).
- Richard A. Lockhart, John J. Spinelli, Michael A. Stephens, Cramér‐von Mises statistics for discrete distributions with unknown parameters, Canadian Journal of Statistics, 10.1002/cjs.5550350111, 35, 1, (125-133), (2010).
- Steven G. From, A new goodness of fit test for the equality of multinomial cell probabilities versus trend alternatives, Communications in Statistics - Theory and Methods, 10.1080/03610929608831891, 25, 12, (3167-3183), (2010).
- Laura Spierdijk, Mark Voorneveld, Superstars without Talent? The Yule Distribution Controversy, Review of Economics and Statistics, 10.1162/rest.91.3.648, 91, 3, (648-652), (2009).
- D. R Jeske, R. A Lockhart, M. A Stephens, Q Zhang, Cramer–von Mises Tests for the Compatibility of Two Software Operating Environments, Technometrics, 10.1198/004017007000000335, 50, 1, (53-63), (2008).
- Simos G. Meintanis, New inference procedures for generalized Poisson distributions, Journal of Applied Statistics, 10.1080/02664760801997174, 35, 7, (751-762), (2008).
- J.C.W. Rayner, D.J. Best, P.B. Brockhoff, G.D. Rayner, References, Nonparametrics for Sensory Science, 10.1002/9780470752586, (165-170), (2008).
- Kanti V. Mardia, Peter E. Jupp, References and Author Index, Directional Statistics, undefined, (395-414), (2008).
- Ian T. Jolliffe, Cristina Primo, Evaluating Rank Histograms Using Decompositions of the Chi-Square Test Statistic, Monthly Weather Review, 10.1175/2007MWR2219.1, 136, 6, (2133-2139), (2008).
- John J. Spinelli, Testing fit for the grouped exponential distribution, Canadian Journal of Statistics, 10.2307/3316040, 29, 3, (451-458), (2008).
- Caterina Conigliani, J. Iván Castro, Anthony O'HAGAN, Bayesian assessment of goodness of fit against nonparametric alternatives, Canadian Journal of Statistics, 10.2307/3315982, 28, 2, (327-342), (2008).
- John J. Spinelli, Michael A. Stephens, , Canadian Journal of Statistics, 10.2307/3315735, 25, 2, (257-268), (2008).
- Yuri Zharikov, David B. Lank, Falk Huettmann, Russell W. Bradley, Nadine Parker, Peggy P. -W. Yen, Laura A. Mcfarlane-Tranquilla, Fred Cooke, Habitat Selection and Breeding Success in a Forest-nesting Alcid, the Marbled Murrelet, in Two Landscapes with Different Degrees of Forest Fragmentation, Landscape Ecology, 10.1007/s10980-005-1438-5, 21, 1, (107-120), (2006).
- Thomas A. Jones, MATLAB functions to analyze directional (azimuthal) data—I: Single-sample inference, Computers & Geosciences, 10.1016/j.cageo.2005.06.009, 32, 2, (166-175), (2006).
- Michael Steele, Janet Chaseling, Powers of Discrete Goodness-of-Fit Test Statistics for a Uniform Null Against a Selection of Alternative Distributions, Communications in Statistics - Simulation and Computation, 10.1080/03610910600880666, 35, 4, (1067-1075), (2006).
- Bennett Sango Otieno, Christine M. Anderson‐Cook, Circular Data , Encyclopedia of Environmetrics, 10.1002/9780470057339, (2006).
- Christine M. Anderson‐Cook, Bennett Sango Otieno, Circular Data, Encyclopedia of Environmetrics, 10.1002/9780470057339, (2006).
- Judith K. Haschenburger, John J. Spinelli, Assessing the Goodness-of-Fit of Statistical Distributions When Data Are Grouped, Mathematical Geology, 10.1007/s11004-005-1558-0, 37, 3, (261-276), (2005).
- Kimberly L. Elmore, Alternatives to the Chi-Square Test for Evaluating Rank Histograms from Ensemble Forecasts, Weather and Forecasting, 10.1175/WAF884.1, 20, 5, (789-795), (2005).
- Sneh Gulati, Jordan Neus, Goodness of Fit Statistics for the Exponential Distribution When the Data Are Grouped, Communications in Statistics - Theory and Methods, 10.1081/STA-120018558, 32, 3, (681-700), (2003).
- Sneh Gulati, Jordan Neus, Goodness-of-Fit Statistics for the Exponential Distribution When the Data are Grouped, Goodness-of-Fit Tests and Model Validity, 10.1007/978-1-4612-0103-8, (113-123), (2002).
- U.C. Bergmann, K. Riisager, New statistical methods for exotic nuclei, Nuclear Physics A, 10.1016/S0375-9474(01)01577-9, 701, 1-4, (213-216), (2002).
- J.C.W. Rayner, D.J. Best, Goodness-of-fit Tests and Diagnostics, International Encyclopedia of the Social & Behavioral Sciences, 10.1016/B0-08-043076-7/00437-X, (6305-6310), (2001).
- References, Visualization of Categorical Data, 10.1016/B978-012299045-8/50040-1, (541-574), (1998).
- D J. Best, J C W. Rayner, Goodness of fit for thei ordered categories discrete uniform distribution, Communications in Statistics - Theory and Methods, 10.1080/03610929708831957, 26, 4, (899-909), (1997).
- T.W. Anderson, M.A. Stephens, The continuous and discrete Brownian bridges: Representations and applications, Linear Algebra and its Applications, 10.1016/S0024-3795(97)00015-3, 264, (145-171), (1997).
- Geoffrey S. Watson, U2n test for uniformity of discrete distributions, Journal of Applied Statistics, 10.1080/757584621, 22, 2, (273-276), (1995).
- Xiaoshi Guo, Sarah M. Ryan, Reliability assessment of scenarios generated for stock index returns incorporating momentum, International Journal of Finance & Economics, 10.1002/ijfe.2002, 0, 0, (undefined).




