Incomplete Dirichlet integrals with applications to ordered uniform spacings

DOI10.1016/0047-259X(80)90073-1zbMath0454.62020OpenAlexW2156730475MaRDI QIDQ1149702

Milton Sobel, Sreenivasa Rao Jammalamadaka

Publication date: 1980

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0047-259x(80)90073-1

zbMATH Keywords

test statisticsDirichlet distributionsordered uniform spacingsincomplete Dirichlet integrals

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Exact distribution theory in statistics (62E15) Order statistics; empirical distribution functions (62G30) Probability distributions: general theory (60E05) Gamma, beta and polygamma functions (33B15)

Related Items (11)

AN ADAPTIVE PROCEDURE FOR GOODNESS-OF-FIT BASED ON SAMPLE SPACINGS ⋮ Higher-order expansions and efficiencies of tests based on spacings ⋮ Multivariate goodness-of-fit tests based on statistically equivalent blocks ⋮ The History of the Dirichlet and Liouville Distributions ⋮ Divisible statistics ⋮ On an interval splitting problem ⋮ A stochastic method for robustness analysis in sorting problems ⋮ A test of goodness-of-fit based on Gini's index of spacings ⋮ Average weights and power in weighted voting games ⋮ Uniform designs for mixture-amount experiments and for mixture experiments under order restrictions ⋮ U-statistic based on overlapping sample spacings

Cites Work

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• Tests of fit based on partial sums of the ordered spacings
• Sums of ordered intervals and distances
• Integral expressions for tail probabilities of the multinomial and negative multinomial distributions
• SOLUTION TO A GEOMETRICAL PROBLEM IN PROBABILITY
• On a Class of Problems Related to the Random Division of an Interval

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