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<p>We considered Bayesian interval estimation for the parameters of the Gompertz distribution with failure-censored data. We derived credible intervals for the shape and scale parameters using the Metropolis–Hastings algorithm and higher-order asymptotic approximations of the marginal posterior distribution under&#xa0;several choices of prior distributions. We assessed the performance of the credible intervals, comparing them to likelihood-based intervals with a focus on error probabilities. To illustrate the findings, we present a real-world data example.</p>

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Approximate Bayesian Credible Intervals for the Parameters of the Gompertz Distribution with Failure Censored Data

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年7月7日

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  • Ayman Baklizi

摘要

We considered Bayesian interval estimation for the parameters of the Gompertz distribution with failure-censored data. We derived credible intervals for the shape and scale parameters using the Metropolis–Hastings algorithm and higher-order asymptotic approximations of the marginal posterior distribution under several choices of prior distributions. We assessed the performance of the credible intervals, comparing them to likelihood-based intervals with a focus on error probabilities. To illustrate the findings, we present a real-world data example.