Far East Journal of Theoretical Statistics
Volume 4, Issue 2, Pages 285 - 295
(December 2000)
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TEST
FOR THE UNIFORM DISTRIBUTION BASED ON THE TRANSFORMED
SAMPLE LORENZ CURVE
Suk-Bok Kang (Korea) and Young-Suk Cho (Korea)
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Abstract: We propose a usually powerful and easily computing test
statistic for uniformity which does not depend on the unknown interval (a,
b) by the transformed sample Lorenz curve. We investigate some
theoretical results about the proposed test statistic under the uniform
distribution. We compare the power of the proposed test statistic with the test
statistic of
Cheng and Spiring [IEEE Transactions on Reliability 36(1) (1987), 98-105] for
uniformity against various alternatives through Monte Carlo methods. |
Keywords and phrases: goodness-of-fit test, transformed
sample Lorenz curve, uniformity. |
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