On the joint distribution of Studentized order statistics

DOI10.1007/BF00773601zbMath0805.62018OpenAlexW2009802384MaRDI QIDQ1336552

V. Pereyra

Publication date: 9 February 1995

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00773601

zbMATH Keywords

exponential distributionnormal distributionjoint distributionexact sampling distributionslinear combinations of Studentized order statisticsmost powerful location and scale invariant testStudentized extreme deviation statistic

Mathematics Subject Classification ID

Exact distribution theory in statistics (62E15) Order statistics; empirical distribution functions (62G30)

Related Items (3)

Characterizations of the normal distribution via the independence of the sample mean and the feasible definite statistics with ordered arguments ⋮ On the joint distribution of Grubbs' statistics ⋮ On distribution of Grubbs' statistics in case of normal sample with outlier

Cites Work

• Relations, bounds and approximations for order statistics
• On the W Test for Exponentiality with Origin Known
• Global Cross Sections and the Densities of Maximal Invariants
• An Optimum Test Property of Two Well-Known Statistics
• An Analysis of Variance Test for the Exponential Distribution (Complete Samples)
• THE EFFICIENCY OF STATISTICAL TOOLS AND A CRITERION FOR THE REJECTION OF OUTLYING OBSERVATIONS
• Sample Criteria for Testing Outlying Observations
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