On the Comment on "CCC-predicted low-variance circles in CMB sky and LCDM", by H.K. Eriksen and I.K. Wehus

TL;DR

This paper critiques a previous analysis of CMB data, clarifying misunderstandings about the Kolmogorov stochasticity parameter and correcting inaccuracies in the critique.

Contribution

It clarifies misconceptions about the use of KSP in CMB analysis and defends its validity against prior criticisms.

Findings

The critique of KSP in CMB analysis is based on misunderstandings.

The original criticisms contain inaccuracies and groundless statements.

The paper reaffirms the appropriateness of KSP for CMB data analysis.

Abstract

In arXiv:1105.1081, Eriksen and Wehus try to criticise the use of Kolmogorov's stochasticity parameter (KSP) for CMB data analysis. Their discussion is based on a serious misunderstanding of the randomness and Arnold's work. Their note includes numerous further inaccuracies and groundless statements. However, this short note is concerned with KSP method only.