Goodness-of-fit tests via characterizations. I: General approach

DOI10.1007/s10958-013-1339-0zbMath1304.62066OpenAlexW2050705729MaRDI QIDQ488081

K. W. Morris, Dominik Szynal

Publication date: 23 January 2015

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-013-1339-0

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Characterization and structure theory of statistical distributions (62E10)

Cites Work

• The asymptotic effect of substituting estimators for parameters in certain types of statistics
• On dual characterizations of continuous distributions in terms of expected values of two functions of order statistics and record values
• Goodness-of-fit tests using dual versions of characterizations via moments of order statistics
• Recurrence relations for distribution functions and moments of \(k\)th record values
• Tests resulting from characterizations using record values
• Tests derived from characterizations in terms of moments of record values
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