Statistical time analysis for regular events with high count rate

TL;DR

This paper introduces a statistical method to accurately measure event count rates in physics experiments, effectively correcting for systematic errors caused by data acquisition system features like dead time and pile-up.

Contribution

The paper presents a novel statistical approach to reduce or eliminate systematic errors in event count rate measurements, accounting for correlations between events.

Findings

Method successfully reduces systematic errors in simulated data.

Application to real experiments demonstrates improved accuracy.

Applicable to high count rate scenarios with correlated events.

Abstract

In physics, it is frequently needed to precisely measure the count rate of some process. Quite often one needs to account for electronics dead time, pile-up and other features of data acquisition system to avoid systematic shifts of the count rate. In this article, we present a statistical mechanism to diminish or completely eliminate systematic errors arising from the correlation between the events. Also, we present examples of application of this method to the analysis of "Troitsk nu-mass" and "Tristan in Troitsk" experiments.