Advances and Applications in Statistics
Volume 15, Issue 1, Pages 83 - 99
(March 2010)
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TL-MOMENTS AND L-MOMENTS ESTIMATION FOR THE WEIBULL DISTRIBUTION
Ibrahim B. Abdul-Moniem
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Abstract: In this paper, the trimmed L-moments
(TL-moments) and L-moments
of the Weibull distribution up to arbitrary order are derived and used
to obtain the first four TL-moments
and L-moments. TL-skewness,
L-skewness, TL-kurtosis
and L-kurtosis are handled for the Weibull distribution. The unknown
parameters for the Weibull distribution can be estimated by using TL-moments
and L-moments. A numerical illustration for the new results is given.
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Keywords and phrases: Weibull distribution, TL-moments,
L-moments, skewness, kurtosis, method of TL-moments and L-moments
estimation, gamma function, Rayleigh distribution, exponential distribution.
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