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<p>In this paper, additional examples are provided to highlight the application of the Bayesian approach in situations where a specific frequentist method fails to offer a solution to the problem or produces an estimate that does not capture the full range of the estimand. This is known as “producing absurd estimates by that specific method", by the classical approach. In these examples, analytical Bayesian solutions may be found in some cases, while in others, Bayesian numerical solutions can be obtained through the use of the R programming language (or OpenBUGS or JAGS software) using the Gibbs sampler.</p>

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Advantages of Certain Bayes Estimators as Preferred Alternatives to Frequentist Methods

  • 期刊论文

  • 发表日期：

    2025年5月6日

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  • Mojtaba Ganjali,
  • Taban Baghfalaki

摘要

In this paper, additional examples are provided to highlight the application of the Bayesian approach in situations where a specific frequentist method fails to offer a solution to the problem or produces an estimate that does not capture the full range of the estimand. This is known as “producing absurd estimates by that specific method", by the classical approach. In these examples, analytical Bayesian solutions may be found in some cases, while in others, Bayesian numerical solutions can be obtained through the use of the R programming language (or OpenBUGS or JAGS software) using the Gibbs sampler.