The Hurst Exponent of Fermi GRBs

TL;DR

This study calculates the Hurst exponent for Fermi-detected Gamma-ray bursts using wavelet analysis, revealing differences between short and long GRBs that could aid in their classification.

Contribution

It introduces a wavelet-based method to measure the Hurst exponent for GRBs and demonstrates its potential to distinguish between short and long bursts.

Findings

Short GRBs have significantly smaller Hurst exponents than long GRBs.

The Hurst exponent can serve as an unbiased classification criterion.

Wavelet decomposition effectively extracts the Hurst exponent from GRB data.

Abstract

Using a wavelet decomposition technique, we have extracted the Hurst exponent for a sample of 46 long and 22 short Gamma-ray bursts (GRBs) detected by the Gamma-ray Burst Monitor (GBM) aboard the Fermi satellite. This exponent is a scaling parameter that provides a measure of long-range behavior in a time series. The mean Hurst exponent for the short GRBs is significantly smaller than that for the long GRBs. The separation may serve as an unbiased criterion for distinguishing short and long GRBs.