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On two applications of characterization theorems to goodness-of-fit. (English) Zbl 0619.62023

Goodness-of-fit, Debrecen/Hung. 1984, Colloq. Math. Soc. János Bolyai 45, 395-414 (1987).
[For the entire collection see Zbl 0606.00025.]
The authors discuss some tests of normality and of exponentiality based on the independence of sample mean and sample variance under the hypothesis of normality and on entropy characterization of the normal and exponential distributions. Via Monte Carlo simulation they study the sensitivity of the test for several alternatives.
Reviewer: A.J.Viollaz

MSC:

62F03 Parametric hypothesis testing
62E10 Characterization and structure theory of statistical distributions
65C05 Monte Carlo methods

Citations:

Zbl 0606.00025