The Use of Maximum Likelihood Estimates in $\chi^2$ Tests for Goodness of Fit

From MaRDI portal
Publication:5829397

DOI10.1214/aoms/1177728726zbMath0056.37103OpenAlexW2151385137WikidataQ56170499 ScholiaQ56170499MaRDI QIDQ5829397

Herman Chernoff

Publication date: 1954

Published in: The Annals of Mathematical Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aoms/1177728726




Related Items (89)

A test for multivariate structureGoodness-of-fit testing: the thresholding approachImproved testing for the binomial distribution using chi-squared components with data-dependent cellsOn the Distribution of Linear Combinations of Chi-Square Random VariablesAPPROXIMATIONS TO POWERS OF φ-DISPARITY GOODNESS-OF-FIT TESTS*Maximum-Likelihood-Schätzung aus gruppierten Daten -- eine Übersicht. (Maximum likelihood estimation with grouped data -- a survey)A Necessary Power Divergence Type Family Tests of Multivariate NormalityData Dependent Cells Chi‐Square Test With Recurrent EventsA Statistical Reanalysis of the Classical Rutherford's ExperimentApplication of tests of chi-square typeSome new tests for multivariate normalityA Bayesian \(\chi^2\) test for goodness-of-fitStatistical inference for stationary linear models with tapered dataAsymptotic divergence of estimates of discrete distributionsA non standard \(\chi^2\)-test of fit for testing uniformity with unknown limitsThe minimum inaccuracy estimates in \(\chi ^ 2\) tests for goodness of fit with fuzzy observationsComparison of distribution selection methodsEquivalence results in chi-square testsA race model for responses and response times in testsThe minimum distance method of testingGoodness-of-fit tests for parametric families of Archimedean copulasOn a class of statistics of polynomial samplesEVALUATING THE NATURE OF CHEMICAL BONDS BASED ON PROBABILISTIC MODELSPenalized likelihood methods for modeling count dataOne-inflation and unobserved heterogeneity in population size estimationBernstein-type large deviations inequalities for partial sums of strong mixing processesGoodness of fit tests based on frequencies and averages of classesStatistical Problems in Ancient NumismaticsWavelet decomposition of hydrodynamic and acoustic pressures in the near field of the jetA divergence test for autoregressive time series modelsPearson-type goodness-of-fit test with bootstrap maximum likelihood estimationUnnamed ItemAn asymptotic test for a geometric process against a lattice distribution with monotone hazardMinimum-distance methods based on quadratic distances for transformsOn random grouping in goodness of fit tests of discrete distributionsGoodness of fit for the Poisson distributionInequalities for linear combinations of gamma random variablesOn the optimality and a generalization of rao-robson's statisticChi-square goodness-of-fit test for one- and multidimensional discrete distributionsAssessing the goodness-of-fit of statistical distributions when data are groupedThe use of efficient estimates in multiple tests for goodness of fitDivergence-based tests for model diagnosticLatent change in recurrent choice dataAn operative extension of the likelihood ratio test from fuzzy dataMinimum chi-square estimation and tests for model selectionA goodness-of-fit test for overdispersed binomial (or multinomial) models ⋮ [https://portal.mardi4nfdi.de/wiki/Publication:5732171 Pr�fung der Normalit�t einer Verteilung] ⋮ On chi-squared type tests and their applications in survival analysis and reliabilityOn the computation of chi-square-type statisticsTests of ordered hypotheses for gamma scale parametersDistribution of chi-square analogue for normal population with class intervals defined in terms of the sample quartilesTests of ordered hypotheses for gamma scale parametersImproved Testing for the Poisson Distribution Using Chisquared Components with Data Dependent CellsMLE of parameters of location-scale distribution for complete and partially grouped dataAsymptotic power properties of the Cramer-von Mises test under contiguous alternativesA nonstandard \(\chi^2\)-test with application to generalized linear model diagnosticsA Khmaladze-transformed test of fit with ML estimation in the presence of recurrent eventsBayesian goodness-of-fit test for censored dataTests of Fit for the Geometric DistributionGoodness-of-fit tests for continuous-time stationary processesStatistical regularity of firm size distribution: the Pareto IV and truncated Yule for Italian SCI manufacturingA Comparative Study of Some Modified Chi-Squared TestsGoodness-of-fit tests for stationary Gaussian processes with tapered dataLimit distributions of the \(\chi ^{2}\) statistic of K. Pearson in a sequence of independent trialsChi-Square Test for Homogeneity with Fuzzy DataSmooth goodness-of-fit tests for composite hypothesis in hazard based modelsComputation of the asymptotic null distribution of goodness-of-fit tests for multi-state modelsGeneral chi-square goodness-of-fit tests with data-dependent cellsIncreasing the power: a practical approach to goodness-of-fit test for logistic regression models with continuous predictorsUnnamed ItemTHE MINIMUM INACCURACY PRINCIPLE IN ESTIMATING POPULATION PARAMETERS FROM GROUPED DATAEvidence for goodness of fit in Karl Pearson chi-squared statisticsGeneralized processing tree models: jointly modeling discrete and continuous variablesTests for normality in stable lawsChi-square tests for multivariate normality with application to common stock pricesA note on testing regime switching assumption based on recurrence timesAsymptotically similar criteriaContributions of empirical and quantile processes to the asymptotic theory of goodness-of-fit tests. (With comments)A supplement to sowey's bibliography on random number generation and related topicsLimit distributions of the Pearson statistics for nonhomogeneous polynomial schemeAn identifiable model of two-stage learningGoodness-of-fit tests for mixed model diagnostics.Estimating latent distributions in recurrent choice dataUnnamed ItemA comparison of the Hosmer–Lemeshow, Pigeon–Heyse, and Tsiatis goodness-of-fit tests for binary logistic regression under two grouping methodsChi-squared goodness-of-fit theory under proportional censorshipOn the joint distribution of pearson's X2statisticsOn \(\chi ^ 2\)-test of goodness-of-fit for a class of discrete multivariate modelsThe limiting distribution of a test for multivariate structure




This page was built for publication: The Use of Maximum Likelihood Estimates in $\chi^2$ Tests for Goodness of Fit