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

Larasati Larasati | Zendy; Rudi Ruswandi | Zendy; Fitriani Fitriani | Zendy

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

Author(s) -

Larasati Larasati,

Rudi Ruswandi,

Fitriani Fitriani

Publication year - 2021

Publication title -

desimal jurnal matematika

Language(s) - English

Resource type - Journals

eISSN - 2613-9081

pISSN - 2613-9073

DOI - 10.24042/djm.v4i1.7737

Subject(s) - confidence interval , statistics , interval estimation , tolerance interval , credible interval , robust confidence intervals , confidence distribution , reliability (semiconductor) , gamma distribution , cdf based nonparametric confidence interval , coverage probability , mathematics , binomial proportion confidence interval , estimation , interval (graph theory) , engineering , negative binomial distribution , power (physics) , physics , systems engineering , quantum mechanics , combinatorics , poisson distribution

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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