2020
DOI: 10.29220/csam.2020.27.6.625
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Fixed-accuracy confidence interval estimation of P(X > c) for a two-parameter gamma population

Abstract: The gamma distribution is a flexible right-skewed distribution widely used in many areas, and it is of great interest to estimate the probability of a random variable exceeding a specified value in survival and reliability analysis. Therefore, the study develops a fixed-accuracy confidence interval for P(X > c) when X follows a gamma distribution, Γ(α, β), and c is a preassigned positive constant through: 1) a purely sequential procedure with known shape parameter α and unknown rate parameter β; and 2) a nonpa… Show more

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Cited by 7 publications
(4 citation statements)
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“…Two-stage fixed-accuracy confidence intervals for the SSR parameter R under an exponential distribution have been taken into consideration by Khalifeh et al (2020). Purely sequential methodologies for estimating the reliability function of a two-parameter gamma distribution under a fixed-accuracy confidence interval estimation setup have been put forth by Zhuang et al (2020). The problem of fixedaccuracy confidence interval estimation of the SSR parameter under a geometric-exponential model utilizing two-stage sampling designs has been studied by Hu et al (2021).…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…Two-stage fixed-accuracy confidence intervals for the SSR parameter R under an exponential distribution have been taken into consideration by Khalifeh et al (2020). Purely sequential methodologies for estimating the reliability function of a two-parameter gamma distribution under a fixed-accuracy confidence interval estimation setup have been put forth by Zhuang et al (2020). The problem of fixedaccuracy confidence interval estimation of the SSR parameter under a geometric-exponential model utilizing two-stage sampling designs has been studied by Hu et al (2021).…”
Section: Introductionmentioning
confidence: 99%
“…(2020). Purely sequential methodologies for estimating the reliability function of a two-parameter gamma distribution under a fixed-accuracy confidence interval estimation setup have been put forth by Zhuang et al. (2020).…”
Section: Introductionmentioning
confidence: 99%
“…Khalifeh, Mahmoudi, and Chaturvedi (2020) have worked on sequential fixed-accuracy confidence intervals for the stress-strength reliability parameter under exponential distribution. Zhuang, Hu, and Zou (2020) have proposed purely sequential strategies for estimating the reliability function of a two-parameter gamma distribution under a fixed-accuracy confidence interval estimation set-up. Most recently, Hu, Zhuang, and Goldiner (2021) have considered the problem of fixed-accuracy confidence interval estimation of the stress-strength reliability parameter under a geometric-exponential model, where they developed two-stage and modified two-stage sampling procedures and derived the interesting asymptotic properties.…”
Section: Introductionmentioning
confidence: 99%
“…For most recent work in sequential analysis and confidence interval estimation, one is referred to Chattopadhyay and Mukhopadhyay ( 2013 ), Mukhopadhyay and Zhuang ( 2017 ), Zhuang et al. ( 2020 ), Khalifeh et al. ( 2020 ), and Hu et al.…”
Section: Introductionmentioning
confidence: 99%