عنوان
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Inverse Lindley distribution: different methods for estimating their PDF and CDF
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نوع پژوهش
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مقاله چاپ شده
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کلیدواژهها
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Inverse Lindley distribution;maximum likelihoodestimator; uniformlyminimum variance unbiasedestimator; confidenceinterval; Bayesian estimation;importance sampling
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چکیده
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The probability density and cumulative distribution functions are essential statistical forms in modelling data and characterizing their respective distributions. This study addresses the estimation problem of these basic functions for the inverse Lindley distribution. The maximum likelihood, uniformly minimum variance unbiased and Bayes estimators are considered here. The exact confidence intervals for the probability density and cumulative distribution functions of the inverse Lindley distribution are also derived. A real data application and simulation studies are performed for illustrating and comparing among the so developed methods.
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پژوهشگران
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محمد رکب (نفر سوم)، مجتبی علیزاده (نفر دوم)، اکبر اصغر زاده (نفر اول)
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