Computer - Intensive Statistics in Mathematical Astronomy

这项研究将确定适当的新的和创新的 计算机密集型统计程序，并将其应用于 目标定义的离散河外源样本 标准，以及它们与预测的关系， 数学宇宙学 这种偏差的概率 正如可以观察到的，假设样本是无偏的和可接受的 宇宙学是正确的，将通过蒙特卡罗方法估计。 计时和弗里德曼的统计可接受性 宇宙学假说将通过比较他们的 预测可观察到的关系与那些观察到的完整， 或其他统计学上客观描述的、公开发表的样本。 光度的计算机多元估计 将研究几个频率的函数。 这项研究是跨学科的，涉及到一种共生关系 统计学与计算宇宙学 领域 统计学，李群，现代分析，几何学，相对论， 和宇宙学都与科学相关 宇宙学的测试、验证和公式化 关于红移的性质及其目的的理论 统计影响。 这些领域的资深科学家， 通常不相互作用的，将联合收割机 重新分析河外星系的数据， 理论

This research will determine appropriate new and innovative computer-intensive statistical procedures and apply them to samples of discrete extragalactic sources defined by objective criteria, and to their relations with the predictions of mathematical cosmologies. The probabilities of such deviations as may be observed, assuming the sample is unbiased and accepted cosmology is correct, will be estimated by Monte Carlo methods. Statisical acceptability of the chronometric and Friedman cosmological hypotheses will be tested by comparison of their predicted observable relations with those observed in complete, or other statistically objectively delineated, published samples. Computer applicable multivariate estimation for luminosity functions at several frequencies will be investigated. This research is cross-disciplinary, involving a symbiosis of Statistics with Computational Cosmology. The fields of Statistics, Lie Groups, Modern Analysis, Geometry, Relativity, and Cosmology are all scientifically relevant in an essential way to the testing, validation, and formulation of cosmological theories of the nature of the redshift and its objective statistical implications. Senior scientists from these fields, which are normally non-interacting, will combine their expertise in re-analyzing extragalactic data and retesting the redshift theory.