A pivot function and its limiting distribution: applications in goodness of fit and testing hypothesis

DOI10.1080/02331888.2019.1667360zbMath1448.60060OpenAlexW2978521719MaRDI QIDQ5205855

Ahmad Reza Soltani

Publication date: 17 December 2019

Published in: Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331888.2019.1667360

zbMATH Keywords

confidence intervalsconfidence regionsgoodness of fittesting hypothesispivot function

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Central limit and other weak theorems (60F05) Order statistics; empirical distribution functions (62G30)

Uses Software

• Mathematica

Cites Work

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• Goodness of fit problem and scanning innovation martingales
• An innovation approach to goodness-of-fit tests in \(R^ m\)
• Laws of the iterated logarithm for order statistics of uniform spacings
• Martingale transforms goodness-of-fit tests in regression models.
• An introduction to order statistics
• Order Statistics
• Certain General Properties of Unbiased Estimates of Location and Scale Parameters Based on Ordered Observations

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