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• Maximum_spacing_estimation abstract "In statistics, maximum spacing estimation (MSE or MSP), or maximum product of spacing estimation (MPS), is a method for estimating the parameters of a univariate statistical model. The method requires maximization of the geometric mean of spacings in the data, which are the differences between the values of the cumulative distribution function at neighbouring data points.The concept underlying the method is based on the probability integral transform, in that a set of independent random samples derived from any random variable should on average be uniformly distributed with respect to the cumulative distribution function of the random variable. The MPS method chooses the parameter values that make the observed data as uniform as possible, according to a specific quantitative measure of uniformity.One of the most common methods for estimating the parameters of a distribution from data, the method of maximum likelihood (MLE), can break down in various cases, such as involving certain mixtures of continuous distributions. In these cases the method of maximum spacing estimation may be successful.Apart from its use in pure mathematics and statistics, the trial applications of the method have been reported using data from fields such as hydrology, econometrics, magnetic resonance imaging, and others.".
• Maximum_spacing_estimation thumbnail Spacings.svg?width=300.
• Maximum_spacing_estimation wikiPageExternalLink 2014_ICIP_Pieciak.pdf.
• Maximum_spacing_estimation wikiPageExternalLink rep9705.ps.gz.
• Maximum_spacing_estimation wikiPageExternalLink rep9706.ps.gz.
• Maximum_spacing_estimation wikiPageExternalLink beirlant_etal_97.pdf.
• Maximum_spacing_estimation wikiPageExternalLink MPS.pdf.
• Maximum_spacing_estimation wikiPageExternalLink beirlant_etal_97.pdf.
• Maximum_spacing_estimation wikiPageExternalLink rep9705.ps.gz.
• Maximum_spacing_estimation wikiPageExternalLink rep9706.ps.gz.
• Maximum_spacing_estimation wikiPageExternalLink hess-8-235-2004.pdf.
• Maximum_spacing_estimation wikiPageExternalLink MSP2.pdf.
• Maximum_spacing_estimation wikiPageID "20410675".
• Maximum_spacing_estimation wikiPageLength "25396".
• Maximum_spacing_estimation wikiPageOutDegree "69".
• Maximum_spacing_estimation wikiPageRevisionID "670680236".
• Maximum_spacing_estimation wikiPageWikiLink Cardiff_University.
• Maximum_spacing_estimation wikiPageWikiLink Category:Estimation_theory.
• Maximum_spacing_estimation wikiPageWikiLink Category:Fitting_probability_distributions.
• Maximum_spacing_estimation wikiPageWikiLink Chi-squared_distribution.
• Maximum_spacing_estimation wikiPageWikiLink Consistent_estimator.
• Maximum_spacing_estimation wikiPageWikiLink Convergence_in_probability.
• Maximum_spacing_estimation wikiPageWikiLink Convergence_of_random_variables.
• Maximum_spacing_estimation wikiPageWikiLink Critical_value.
• Maximum_spacing_estimation wikiPageWikiLink Cumulative_distribution_function.
• Maximum_spacing_estimation wikiPageWikiLink Degrees_of_freedom_(statistics).
• Maximum_spacing_estimation wikiPageWikiLink Dirichlet_cell.
• Maximum_spacing_estimation wikiPageWikiLink Econometrics.
• Maximum_spacing_estimation wikiPageWikiLink Efficiency_(statistics).
• Maximum_spacing_estimation wikiPageWikiLink Estimation.
• Maximum_spacing_estimation wikiPageWikiLink Estimator.
• Maximum_spacing_estimation wikiPageWikiLink Euler–Mascheroni_constant.
• Maximum_spacing_estimation wikiPageWikiLink Exponential_distribution.
• Maximum_spacing_estimation wikiPageWikiLink F-divergence.
• Maximum_spacing_estimation wikiPageWikiLink Gamma_distribution.
• Maximum_spacing_estimation wikiPageWikiLink Geometric_mean.
• Maximum_spacing_estimation wikiPageWikiLink Goodness_of_fit.
• Maximum_spacing_estimation wikiPageWikiLink Hydrology.
• Maximum_spacing_estimation wikiPageWikiLink Iid.
• Maximum_spacing_estimation wikiPageWikiLink Independent_and_identically_distributed_random_variables.
• Maximum_spacing_estimation wikiPageWikiLink Inequality_of_arithmetic_and_geometric_means.
• Maximum_spacing_estimation wikiPageWikiLink Infimum_and_supremum.
• Maximum_spacing_estimation wikiPageWikiLink Inflection_point.
• Maximum_spacing_estimation wikiPageWikiLink Joint_probability_distribution.
• Maximum_spacing_estimation wikiPageWikiLink Kullback–Leibler_divergence.
• Maximum_spacing_estimation wikiPageWikiLink Likelihood.
• Maximum_spacing_estimation wikiPageWikiLink Likelihood_function.
• Maximum_spacing_estimation wikiPageWikiLink Location_parameter.
• Maximum_spacing_estimation wikiPageWikiLink Magnetic_resonance_imaging.
• Maximum_spacing_estimation wikiPageWikiLink Maximum_likelihood.
• Maximum_spacing_estimation wikiPageWikiLink Maximum_likelihood_estimation.
• Maximum_spacing_estimation wikiPageWikiLink Mean-squared_error.
• Maximum_spacing_estimation wikiPageWikiLink Mean_squared_error.
• Maximum_spacing_estimation wikiPageWikiLink Minimum-variance_unbiased_estimator.
• Maximum_spacing_estimation wikiPageWikiLink Mixture_(probability).
• Maximum_spacing_estimation wikiPageWikiLink Natural_logarithm.
• Maximum_spacing_estimation wikiPageWikiLink Normal_distribution.
• Maximum_spacing_estimation wikiPageWikiLink Order_statistic.
• Maximum_spacing_estimation wikiPageWikiLink P._A._P._Moran.
• Maximum_spacing_estimation wikiPageWikiLink Parameter_space.
• Maximum_spacing_estimation wikiPageWikiLink Parametric_model.
• Maximum_spacing_estimation wikiPageWikiLink Pat_Moran_(statistician).
• Maximum_spacing_estimation wikiPageWikiLink Probability_distribution.
• Maximum_spacing_estimation wikiPageWikiLink Probability_integral_transform.
• Maximum_spacing_estimation wikiPageWikiLink Random_sample.
• Maximum_spacing_estimation wikiPageWikiLink Round-off_error.
• Maximum_spacing_estimation wikiPageWikiLink Sampling_(statistics).
• Maximum_spacing_estimation wikiPageWikiLink Scale_parameter.
• Maximum_spacing_estimation wikiPageWikiLink Shape_parameter.
• Maximum_spacing_estimation wikiPageWikiLink Statistical_significance.
• Maximum_spacing_estimation wikiPageWikiLink Statistics.
• Maximum_spacing_estimation wikiPageWikiLink Supremum.
• Maximum_spacing_estimation wikiPageWikiLink Swedish_University_of_Agricultural_Sciences.
• Maximum_spacing_estimation wikiPageWikiLink Uniform_distribution_(continuous).
• Maximum_spacing_estimation wikiPageWikiLink Uniformly_minimum_variance_unbiased.
• Maximum_spacing_estimation wikiPageWikiLink Univariate_distribution.
• Maximum_spacing_estimation wikiPageWikiLink Voronoi_diagram.
• Maximum_spacing_estimation wikiPageWikiLink Weibull_distribution.
• Maximum_spacing_estimation wikiPageWikiLink File:Spacing_Estimation_plot_for_MSE_example.svg.
• Maximum_spacing_estimation wikiPageWikiLink File:Spacings.svg.
• Maximum_spacing_estimation wikiPageWikiLinkText "Maximum spacing estimation".
• Maximum_spacing_estimation wikiPageWikiLinkText "maximum spacing estimation".
• Maximum_spacing_estimation wikiPageWikiLinkText "maximum spacing".
• Maximum_spacing_estimation alt "A box containing a graph of an offset straight line and a "J" curve that rises from the straight line.".
• Maximum_spacing_estimation alt "A box containing a graph of an offset straight line and a "reverse J" curve that rises to meet the straight line.".
• Maximum_spacing_estimation caption "Density".
• Maximum_spacing_estimation caption "Distribution".
• Maximum_spacing_estimation footer "Plot of a “J-shaped” density function and its corresponding distribution. A shifted Weibull with a scale parameter of 15, a shape parameter of 0.5, and a location parameter of 10. The density asymptotically approaches infinity as x approaches 10, rendering the estimates of the other parameters inconsistent. Note that there is no inflection point in the graph of the distribution.".
• Maximum_spacing_estimation hasPhotoCollection Maximum_spacing_estimation.
• Maximum_spacing_estimation image "J-shaped density - corresponding distribution.svg".
• Maximum_spacing_estimation image "J-shaped density.svg".
• Maximum_spacing_estimation width "200".
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• Maximum_spacing_estimation wikiPageUsesTemplate Template:Good_article.
• Maximum_spacing_estimation wikiPageUsesTemplate Template:Harvtxt.
• Maximum_spacing_estimation wikiPageUsesTemplate Template:Multiple_image.

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