Asymptotic approximations for the distributions of the \(K\phi\)-divergence goodness-of-fit statistics

DOI10.1007/s00362-003-0160-0zbMath1052.62020OpenAlexW1967005425MaRDI QIDQ1880273

Teresa E. Pérez, Julio Angel Pardo

Publication date: 22 September 2004

Published in: Statistical Papers (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00362-003-0160-0

zbMATH Keywords

goodness-of-fit\(K_\varphi\)-divergencesecond-order limit distribution

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic distribution theory in statistics (62E20) Parametric hypothesis testing (62F03) Statistical aspects of information-theoretic topics (62B10)

Related Items (1)

On choosing a goodness‐of‐fit test for discrete multivariate data

Cites Work

• Asymptotic approximations for the distributions of multinomial goodness- of-fit statistics
• Goodness-of-fit statistics for discrete multivariate data
• Asymptotic properties of divergence statistics in a stratified random sampling and its applications to test statistical hypotheses
• On the central limit theorem in 𝑅_{𝑘}
• On the convexity of some divergence measures based on entropy functions
• Asymptotic approximations for the distributions of the (h_‐, φ_‐)‐divergence goodness‐of‐fit statistics: application to Renyi’s statistic
• On the choice of the class intervals in the application of the chi-square test
• Asymptotic Approximations for the Probability that a Sum of Lattice Random Vectors Lies in a Convex Set
• On the Choice of the Number of Class Intervals in the Application of the Chi Square Test
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