Improved Ep-TL-Lp Diagram and a Robust Regression Method

@article{Tsutsui2011ImprovedED,
  title={Improved Ep-TL-Lp Diagram and a Robust Regression Method},
  author={Ryo Tsutsui and Takashi Nakamura and Daisuke Yonetoku and T Murakami and Yoshiyuki Morihara and Keitaro Takahashi},
  journal={Publications of the Astronomical Society of Japan},
  year={2011},
  volume={63},
  pages={741-753}
}
The accuracy and reliability of gamma-ray bursts (GRBs) as distance indicators are strongly restricted by their systematic errors, which are larger than the statistical errors. These systematic errors might come from either intrinsic variations of GRBs, or systematic errors in observations. In this paper, we consider the possible origins of systematic errors in the following observables: (i) the spectral peak energies (Ep) estimated by the cut-off power law (CPL) function and (ii) the peak… 

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