We present a Fisher information study of the statistical impact of galaxy bias and selection effects on the estimation of key cosmological parameters from galaxy redshift surveys; in particular, the angular diameter distance, Hubble parameter, and linear growth rate at a given redshift, the cold dark matter density, and the tilt and running of the primordial power spectrum. The line-of-sight-dependent selection contributions we include here are known to exist in real galaxy samples. We determine the maximum wavenumber included in the analysis by requiring that the next-order corrections to the galaxy power spectrum or bispectrum, treated here at next-to-leading and leading order, respectively, produce shifts of ≲ 0.25σ on each of the six cosmological parameters. With the galaxy power spectrum alone, selection effects can deteriorate the constraints severely, especially on the linear growth rate. Adding the galaxy bispectrum helps break parameter degeneracies significantly. We find that a joint power spectrum-bispectrum analysis of a Euclid-like survey can still measure the linear growth rate to 10% precision after complete marginalization over selection bias. We also discuss systematic parameter shifts arising from ignoring selection effects and/or other bias parameters, and emphasize that it is necessary to either control selection effects at the percent level or marginalize over them. We obtain similar results for the Roman Space Telescope and HETDEX.

我们提供了一个Fisher信息研究，内容是星系偏差和选择效应对从星系红移调查中估算关键宇宙学参数的统计影响的统计影响；特别是给定红移时的角直径距离，哈勃参数和线性增长率，冷暗物质密度以及原始功率谱的倾斜和运行。我们在这里包括的视线依赖选择贡献已知存在于真实星系样本中。我们通过要求对银河功率谱或双谱图进行下一次校正（分别在下一个先导和先导的阶次下进行处理）在六个方向上的每一个产生σ0.25σ的偏移，来确定分析中包含的最大波数。宇宙学参数。仅凭银河系功率谱，选择效应会严重恶化约束，特别是线性增长率。添加星系双谱有助于显着打破参数的简并性。我们发现，像欧几里得这样的调查的联合功率谱-双谱分析仍然可以在选择偏见完全边缘化之后，将线性增长率测量到10％的精度。我们还将讨论由于忽略选择效应和/或其他偏差参数而引起的系统性参数偏移，并强调有必要将选择效应控制在百分比水平或将其边缘化。对于罗马太空望远镜和HETDEX，我们获得了类似的结果。我们发现，像欧几里得这样的调查的联合功率谱-双谱分析仍然可以在选择偏见完全边缘化之后，将线性增长率测量到10％的精度。我们还将讨论由于忽略选择效应和/或其他偏差参数而引起的系统性参数偏移，并强调有必要将选择效应控制在百分比水平或将其边缘化。对于罗马太空望远镜和HETDEX，我们获得了类似的结果。我们发现，像欧几里得这样的调查的联合功率谱-双谱分析仍然可以在选择偏倚完全边缘化之后，将线性增长率测量到10％的精度。我们还将讨论由于忽略选择效应和/或其他偏差参数而引起的系统性参数偏移，并强调有必要将选择效应控制在百分比水平或将其边缘化。对于罗马太空望远镜和HETDEX，我们获得了类似的结果。