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Department of Statistics - Yarmouk University Irbid, JORDAN
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### Author's books

Maximum likelihood estimator of the shape parameter of the weibull distribution using ranked set sampling digital
format: Article | STATISTICA & APPLICAZIONI - 2013 - 2
Year: 2014
In this paper, we will consider the (maximum likelihood estimators) MLEs of the shape parameter p of the Weibull distribution...
Estimation of the variance for logistic distribution under ranked set sampling and simple random sampling: a comparative study
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digital
format: Article | STATISTICA & APPLICAZIONI - 2012 - 2
Year: 2012
SUMMARY The logistic distribution is applicable in many area of research. In this study, several estimators of the variance when the location parameter is known and unknown are considered when data are gathered under simple random sampling (SRS) and ranked set sampling (RSS). For some estimators considered, the bias and mean square error (MSE) are not gotten in closed form. Using Monte Carlo simulations, comparison of these estimators is made based on biases, MSE and efficiency. When the estimators are compared, it is found that estimators based on maximum likelihood method are more efficient than other estimators considered, under both SRS and RSS. However, estimators based on RSS have more advantages over those based on SRS. Keywords: Logistic Distribution, Ranked set Sampling, Simple Random Sampling, Variance, Estimations.
Estimation of  = P(X>Y) using ranked set sampling
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digital
format: Article | STATISTICA & APPLICAZIONI - 2010 - 2
Year: 2010
Comparison of several confidence intervals for normal distribution with known coefficient of variation
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digital
format: Article | STATISTICA & APPLICAZIONI - 2010 - 1
Year: 2010
In this paper, we consider the problem of constructing confidence intervals for the normal population mean when the coefficient of variation is known. We obtain 13 confidence intervals using different pivots. Also we conduct a simulation study to compare the expectations as well as the standard deviations of the intervals lengths. Keywords: Coefficient of Variation, Normal Distribution, Pivotal Method, Confidence Interval.