Confidence interval estimation of gamma distribution lifetime data using score and bootstrap methods

Larasati Larasati, Rudi Ruswandi, Fitriani Fitriani
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Abstract

Doi: 10.24042/djm.v4i1.7737 Confidence interval estimation of parameters determines the value interval, which is calculated based on statistical measurements and has specific estimates probability that contains the actual parameters. A method is needed to estimate the parameters' confidence interval, and the methods used are the Score method and the Bootstrap method. This study aims to estimate parameters by using the maximum likelihood estimation method and analyze the reliability of the aircraft engine cooling system's lifetime that follows the Gamma Distribution, and estimate the confidence interval of the parameters.
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使用分数和自举方法估计伽马分布寿命数据的置信区间
参数的置信区间估计决定了值区间,它是基于统计测量计算的,具有包含实际参数的特定估计概率。需要一种方法来估计参数的置信区间,使用的方法是Score法和Bootstrap法。本研究旨在利用极大似然估计方法估计参数,分析飞机发动机冷却系统寿命服从Gamma分布的可靠性,并估计参数的置信区间。
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