عنوان
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Approximate tolerance intervals for the discrete Poisson–Lindley distribution
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نوع پژوهش
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مقاله چاپ شده
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کلیدواژهها
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compound distribution; count data; coverage probability; tolerance package; Wald confidence interval
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چکیده
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The Poisson–Lindley distribution is a compound discrete distribution that can be used as an alternative to other discrete distributions, like the negative binomial. This paper develops approximate one-sided and equal-tailed two-sided tolerance intervals for the Poisson–Lindley distribution. Practical applications of the Poisson–Lindley distribution frequently involve large samples, thus we utilize large-sample Wald confidence intervals in the construction of our tolerance intervals. A coverage study is presented to demonstrate the efficacy of the proposed tolerance intervals. The tolerance intervals are also demonstrated using two real data sets. The R code developed for our discussion is briefly highlighted and included in the tolerance package
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پژوهشگران
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آزاده کیاپور (نفر دوم)، درک یونگ (نفر سوم)، مهران نقی زاده قمی (نفر اول)
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