Cosine directions using Rao-Blackwell Theorem and Hausdorff metric in Quasars

TL;DR

This paper introduces a novel approach to quasar analysis by applying the Rao-Blackwell Theorem and Hausdorff metric to determine flux directions and improve quasar classification accuracy.

Contribution

It develops new equations for cosine directions of flux in quasars and utilizes the Hausdorff metric for better distance estimation, advancing quasar classification methods.

Findings

Derived equations for cosine directions in quasar flux

Enhanced understanding of quasar distances using Hausdorff metric

Optimized flux variance minimization via Rao-Blackwell Theorem

Abstract

This analysis will determine the equations of the cosine directions for all flux of the optical spectrum in quasars. Studies on Hausdorff metric will greatly enhance our understanding of quasars distances. This study will complete steps in the classification of quasars by finding the minimum variance of flux by using the RaoBlackwell Theorem. The papers of C. R. Rao and D. Blackwell will be examined to clarify more of the above theorem. Keywords: Theory of Flux, SDSS, Quasars, Redshift (z), Population Perimeters, Regression Analysis