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\bibitem{Lubsandorzhiev2006}
B.K. Lubsandorzhiev.
\newblock On the history of photomultiplier tube invention.
\newblock {\em Nuclear Instruments and Methods in Physics Research Section A:
  Accelerators, Spectrometers, Detectors and Associated Equipment}, 567(1):236
  -- 238, 2006.
\newblock Proceedings of the 4th International Conference on New Developments
  in Photodetection.

\bibitem{hamamatsu2006}
KK~Hamamatsu Photonics.
\newblock Photomultiplier tube handbook.
\newblock {\em Electron Tube Division,}, 2006.

\bibitem{Aiello2018}
S.~Aiello, S.E. Akrame, F.~Ameli, et~al.
\newblock Characterisation of the hamamatsu photomultipliers for the {KM}3net
  neutrino telescope.
\newblock {\em Journal of Instrumentation}, 13(05):P05035--P05035, may 2018.

\bibitem{Wright2017}
AG~Wright.
\newblock {\em The photomultiplier handbook}.
\newblock Oxford University Press, 2017.

\bibitem{Shockley1938}
W.~{Shockley} and J.~R. {Pierce}.
\newblock A theory of noise for electron multipliers.
\newblock {\em Proceedings of the Institute of Radio Engineers},
  26(3):321--332, March 1938.

\bibitem{Knoll1979}
Glenn~F Knoll.
\newblock Radiation detection and measurement(book).
\newblock {\em New York, John Wiley and Sons, Inc., 1979. 831 p}, 1979.

\bibitem{photonics1994}
Philips Photonics.
\newblock Photomultiplier tubes, principles and applications.
\newblock {\em Philips Export BV}, 1994.

\bibitem{Eeden2019}
Thijs~Juan van Eeden.
\newblock {Measuring the Angular Acceptance of the KM3NeT Digital Optical
  Module}.
\newblock Master's thesis, Technische Universiteit Delft, the Netherlands,
  2019.

\bibitem{Baudis2015}
L~Baudis, S~D'Amato, G~Kessler, A~Kish, and J~Wulf.
\newblock Measurements of the position-dependent photo-detection sensitivity of
  the hamamatsu r11410 and r8520 photomultiplier tubes.
\newblock {\em arXiv preprint arXiv:1509.04055}, 2015.

\bibitem{Jung2020}
Bouke Jung.
\newblock KM3NeT Computing and Software ELOG, message ID 444.

\bibitem{Reubelt2018}
Jonas Reubelt.
\newblock Hardware studies, in-situ prototype calibration and data analysis of
  the novel multi-pmt digital optical module for the km3net neutrino telescope.
\newblock 2018.

\bibitem{Bellamy1994}
E.H. Bellamy, G.~Bellettini, J.~Budagov, et~al.
\newblock Absolute calibration and monitoring of a spectrometric channel using
  a photomultiplier.
\newblock {\em Nuclear Instruments and Methods in Physics Research Section A:
  Accelerators, Spectrometers, Detectors and Associated Equipment}, 339(3):468
  -- 476, 1994.

\bibitem{Kissick2010}
David~J. Kissick, Ryan~D. Muir, and Garth~J. Simpson.
\newblock Statistical treatment of photon/electron counting: Extending the
  linear dynamic range from the dark count rate to saturation.
\newblock {\em Analytical Chemistry}, 82(24):10129--10134, 2010.
\newblock PMID: 21114249.

\bibitem{Prescott1966}
J.R. Prescott.
\newblock A statistical model for photomultiplier single-electron statistics.
\newblock {\em Nuclear Instruments and Methods}, 39(1):173 -- 179, 1966.

\bibitem{Degtiarenko2017}
Pavel Degtiarenko.
\newblock Precision analysis of the photomultiplier response to ultra low
  signals.
\newblock {\em Nuclear Instruments and Methods in Physics Research Section A:
  Accelerators, Spectrometers, Detectors and Associated Equipment}, 872:1–15,
  Nov 2017.

\bibitem{Bromiley2003}
Paul Bromiley.
\newblock Products and convolutions of gaussian probability density functions.
\newblock {\em Tina-Vision Memo}, 3(4):1, 2003.

\bibitem{Hofestaedt2017}
Jannik Hofestaedt.
\newblock KM3NeT Analysis ELOG, message ID 220.

\bibitem{Deepak2020}
Deepak Gajanana.
\newblock private communication.

\bibitem{Hoermann1990}
W~Hoermann and G~Derflinger.
\newblock The acr method for generating normal random variables.
\newblock {\em Operations-Research-Spektrum}, 12(3):181--185, 1990.

\end{thebibliography}
