Gamma-ray bursts spectral peak estimator

Specifically, a high correlation strength is found between the nuFnu peak in the spectrum of Burst and Transient Source Experiment (BATSE) GRBs, Ep,obs and the hardness of GRBs, inline image, as defined by the fluences in channels 3 and 4, divided by the combined fluences in channels 1 and 2 of the BATSE Large Area Detectors (LADs).

The correlation is independent of the type of the burst, whether long-duration GRB (LGRB) or short-duration (SGRB) and remains almost linear over the wide range of the BATSE energy window (20-2000KeV). Based on Bayes theorem and Markov Chain Monte Carlo techniques, we also present multivariate analyses of the observational data while accounting for data truncation and sample incompleteness. Prediction intervals for the proposed inline image relation are derived.