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Abstract
The generalized probability weighted moments are widely used in hydrology for estimating parameters of flood distributions from complete sample. The method of partial generalized probability weighted moments was used to estimate the parameters of distributions from censored sample. This article offers new method called partial generalized probability weighted moments (PGPWMs) for the analysis of censored data. The method of PGPWMs is an extended class from partial generalized probability weighted moments. To illustrate the new method, estimation of the unknown parameters from exponentiated exponential distribution based on doubly censored sample is considered. PGPWMs estimators for right and left censored samples are obtained as special cases. Simulation study is conducted to investigate performance of estimates for exponentiated exponential distribution. Comparison between estimators is made through simulation via their biases and mean square errors. An illustration with real data is provided.
Keywords
Generalized Probability Weighted Moments
Partial Probability Weighted Moments
Partial generalized Probability Weighted Moments
Generalized Exponential Distribution
Censored Samples
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How to Cite
El Haroun, N. M. (2015). Partial Generalized Probability Weighted Moments for Exponentiated Exponential Distribution. Pakistan Journal of Statistics and Operation Research, 11(3), 299-315. https://doi.org/10.18187/pjsor.v11i3.729