Chi-Square Test for Continuous Distributions with Shift and Scale Parameters

Previous article Next article Chi-Square Test for Continuous Distributions with Shift and Scale ParametersM. S. NikulinM. S. Nikulinhttps://doi.org/10.1137/1118069PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] R. A. Fisher, On a property connecting the χ² measure of discrepancy with the method of maximum likelihood, Atti de Congresso Internazionale dei Mathematici, Vol. 6, Bologna, 1928, 94–100 Google Scholar[2] Herman Chernoff and , E. L. Lehmann, The use of maximum likelihood estimates in χ 2 tests for goodness of fit, Ann. Math. Statistics, 25 (1954), 579–586 MR0065109 (16,384d) 0056.37103 CrossrefGoogle Scholar[3] G. S. Watson, On chi-square goodness-of-fit tests for continuous distributions, J. Roy. Statist. Soc. Ser. B, 20 (1958), 44–72 MR0100312 (20:6745) 0086.12701 Google Scholar[4] G. S. Watson, The χ 2 goodness-of-fit test for normal distributions, Biometrika, 44 (1957), 336–348 MR0090951 (19,895h) 0081.36002 Google Scholar[5] D. 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Applications, 16 (1971), 1–22 10.1137/1116001 0234.62019 LinkGoogle Scholar Previous article Next article FiguresRelatedReferencesCited byDetails A new reciprocal Rayleigh extension: properties, copulas, different methods of estimation and a modified right-censored test for validation5 September 2021 | Statistics in Transition New Series, Vol. 22, No. 3 Cross Ref Web Mapping of Extreme Daily Rainfall Data in Central and Northern ArgentinaJournal of Hydrologic Engineering, Vol. 26, No. 7 Cross Ref Assessing Fit of the Lognormal Model for Response Times23 March 2020 | Journal of Educational and Behavioral Statistics, Vol. 45, No. 5 Cross Ref The Arcsine Exponentiated- X Family: Validation and Insurance ApplicationComplexity, Vol. 2020 Cross Ref Validation of Burr XII inverse Rayleigh model via a modified chi-squared goodness-of-fit test9 July 2019 | Journal of Applied Statistics, Vol. 47, No. 3 Cross Ref Validation of the Topp-Leone-Lomax Model via a Modified Nikulin-Rao-Robson Goodness-of-Fit Test with Different Methods of Estimation26 December 2019 | Symmetry, Vol. 12, No. 1 Cross Ref Generalized Processing Tree Models: Jointly Modeling Discrete and Continuous Variables24 May 2018 | Psychometrika, Vol. 83, No. 4 Cross Ref Probabilistic analysis of tunnel longitudinal performance based upon conditional random field simulation of soil propertiesTunnelling and Underground Space Technology, Vol. 73 Cross Ref Optimization of site investigation program for improved statistical characterization of geotechnical property based on random field theory1 April 2016 | Bulletin of Engineering Geology and the Environment, Vol. 76, No. 3 Cross Ref Bibliography30 June 2017 Cross Ref Comparison of hypertabastic survival model with other unimodal hazard rate functions using a goodness-of-fit test7 February 2017 | Statistics in Medicine, Vol. 6 Cross Ref A Note on Wald's Type Chi-squared Tests of Fit12 August 2013 | Communications in Statistics - Theory and Methods, Vol. 44, No. 21 Cross Ref Chi‐Squared Tests ‐ Recent Advances26 November 2014 Cross Ref Hotel Managers Perspective of Managerial Competency among Graduating Students of Hotel Management ProgrammeProcedia - Social and Behavioral Sciences, Vol. 144 Cross Ref Chi-Squared Type Test for the AFT-Generalized Inverse Weibull Distribution5 June 2014 | Communications in Statistics - Theory and Methods, Vol. 43, No. 13 Cross Ref On Chi-Squared Type Tests and Their Applications in Survival Analysis and Reliability31 May 2014 | Journal of Mathematical Sciences, Vol. 199, No. 2 Cross Ref A Comparative Analysis of Some Chi-Square Goodness-of-Fit Tests for Censored Data29 January 2014 Cross Ref A New Goodness-of-Fit Test for Shape-Scale Families29 January 2014 Cross Ref Modeling of Categorical Data29 January 2014 Cross Ref Bibliography9 May 2013 Cross Ref Bibliography14 February 2013 Cross Ref A Historical Account Cross Ref Pearson's Sum and Pearson-Fisher Test Cross Ref Wald's Method and Nikulin-Rao-Robson Test Cross Ref Bibliography Cross Ref Using Iterative Ridge Regression to Explore Associations Between Conditioned VariablesJournal of Computational Biology, Vol. 19, No. 5 Cross Ref Using Multivariate Split Analysis for an Improved Maintenance of Automotive Diagnosis Functions Cross Ref POISSON VERSUS BINOMIAL: APPOINTMENT OF JUDGES TO THE U.S. SUPREME COURT13 August 2010 | Australian & New Zealand Journal of Statistics, Vol. 52, No. 3 Cross Ref A Modified Chi-squared Goodness-of-fit Test for the Three-parameter Weibull Distribution and its Applications in Reliability27 January 2010 Cross Ref A Comparative Study of Some Modified Chi-Squared TestsCommunications in Statistics - Simulation and Computation, Vol. 38, No. 2 Cross Ref Recent Achievements in Modified Chi-Squared Goodness-of-Fit Testing Cross Ref Chi-Squared Tests-II15 August 2006 Cross Ref Martingale transforms goodness-of-fit tests in regression modelsThe Annals of Statistics, Vol. 32, No. 3 Cross Ref Chi-Squared Goodness of Fit Test for Doubly Censored Data With Applications in Survival Analysis and Reliability Cross Ref Unbiased Estimation for a Multivariate Exponential whose Components have a Common ShiftJournal of Multivariate Analysis, Vol. 63, No. 2 Cross Ref C Cross Ref On Asymptotic Behavior of Distributions of Some Statistics for Markov ChainsT. 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Nikulin28 July 2006 | Theory of Probability & Its Applications, Vol. 19, No. 4AbstractPDF (274 KB)Summary of Papers Presented at the Sessions of the Seminar in Probability Theory and Mathematical Statistics at the Mathematical Institute of the Academy of Sciences of the USSR28 July 2006 | Theory of Probability & Its Applications, Vol. 18, No. 3AbstractPDF (1001 KB) Volume 18, Issue 3| 1974Theory of Probability & Its Applications History Submitted:24 April 1973Published online:28 July 2006 InformationCopyright © 1974 © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1118069Article page range:pp. 559-568ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics