I consider two gamma-ray burst (GRB) correlations: Amati and Combo. After calibrating them in a cosmology-independent way by employing Bezier polynomials to approximate the Observational Hubble Dataset (OHD), I perform Markov Chain Monte Carlo (MCMC) simulations within the Λ CDM and the wCDM models. The results from the Amati GRB dataset do not agree with the standard Λ CDM model at a confidence level ≥ 3 – σ . For the Combo correlation, all MCMC simulations give best-fit parameters which are consistent within 1– σ with the Λ CDM model. Pending the clarification of whether the diversity of these results is statistical, due to the difference in the dataset sizes, or astrophysical, implying the search for the most suited correlation for cosmological analyses, future investigations require larger datasets to increase the predictive power of both correlations and enable more refined analyses on the possible non-zero curvature of the Universe and the dark energy equation of state and evolution.

中文翻译：

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中期和早期红移中阿马蒂和组合相关性之间的对抗

我考虑了两个伽马射线暴 (GRB) 相关性：Amati 和 Combo。在通过使用贝塞尔多项式近似观测哈勃数据集 (OHD) 以与宇宙学无关的方式校准它们之后，我在 Λ CDM 和 wCDM 模型中执行马尔可夫链蒙特卡罗 (MCMC) 模拟。Amati GRB 数据集的结果在置信水平 ≥ 3 – σ 时与标准 Λ CDM 模型不一致。对于 Combo 相关性，所有 MCMC 模拟都给出了与 Λ CDM 模型在 1-σ 范围内一致的最佳拟合参数。由于数据集大小的差异或天体物理学的差异，这些结果的多样性是否是统计性的，这有待澄清，这意味着要寻找最适合宇宙学分析的相关性，