Asymptotic properties of exponentiality tests based on \(L\)-statistics

DOI10.1007/s10440-007-9118-xzbMath1116.62057OpenAlexW1982698206MaRDI QIDQ996759

A. V. Tchirina

Publication date: 19 July 2007

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-007-9118-x

zbMATH Keywords

Bahadur efficiencyExponentiality testMonotone failure rate

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic properties of nonparametric inference (62G20) Order statistics; empirical distribution functions (62G30) Large deviations (60F10) Testing in survival analysis and censored data (62N03) Reliability and life testing (62N05)

Related Items (6)

Asymptotic properties of a goodness-of-fit test based on maximum correlations ⋮ A directional test of exponentiality based on maximum correlations ⋮ Moderate deviations for a class of L-statistics ⋮ Berry–Esseen Bound for a Class of NormalizedL-Statistics ⋮ Sharp large deviations for a class of normalized L-statistics and applications ⋮ An exponential nonuniform convergence rate for a class of normalized L-statistics

Cites Work

• A theorem about probabilities of large deviations with an application to queuing theory
• A scale-free goodness-of-fit statistic for the exponential distribution based on maximum correlations
• Bahadur efficiency and local optimality of a test for exponentiality based on the Moran statistics
• Bahadur efficiency and local optimality of a test for the exponential distribution based on the gini statistic
• Asymptotic Efficiency of Nonparametric Tests
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