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Biometrika 1982 69(3):641-646; doi:10.1093/biomet/69.3.641
© 1982 by Biometrika Trust
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Cramér-von Mises statistic for testing exponentiality with censored samples

METE SIRVANCI and IBRAHIM LEVENT

School of Business Administration, University of Wisconsin Milwaukee, Wisconsin, U.S.A.
Department of Statistics, George Washington University Washington, D.C., U.S.A.

The modified form of the Cramér-von Mises statistic is employed for the problem of testing exponentiality with type I censored samples, in the presence of an unknown scale parameter {theta}. The asymptotic distribution of the Cramér-von Mises statistic is established when {theta} is estimated by its maximum likelihood estimator . Percentiles of the asymptotic distribution are obtained for various levels of censoring.

Key Words: Censoring • Cramér-von Mises statistic • Testing for exponentiality • Type I censoring


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