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Conference: Bucharest University Faculty of Physics 2016 Meeting
Section: Nuclear and Elementary Particles Physics
Title: Dead time corrections implementation by exploiting the connection between the Poisson and exponential distributions
Authors: Marian BOROMIZA (1,2), Alexandru NEGRET (1), Adina OLACEL (1), Gabriel SULIMAN (3)
Affiliation: 1) 'Horia Hulubei' National Institute for Physics and Nuclear Engineering, BucharestMagurele, 077125, Romania
2) University of Bucharest, Faculty of Physics, Atomistilor 405, BucharestMagurele, Romania
3) 'Horia Hulubei' National Institute for Physics and Nuclear Engineering, ELINP, BucharestMagurele, 077125, Romania
Email boromiza.marian@theory.nipne.ro
Keywords: dead time models, dead time corrections, Poisson distribution, exponential distribution
Abstract: Considering that i) the dead time of a detection system, the detected (counted) rate, the true rate and the arriving time interval of the incoming events have all a random variable behaviour and ii) the detected and true rates both follow a Poisson distribution, the dead time correction procedure is reformulated in statistical terms. The main question to be answered is: Knowing that the detected rate follows a Poisson distribution what distribution does the arriving time interval follow?
After presenting the qualitative reasoning which guided us to the answer, it is shown that the arriving time interval satisfies an exponential distribution. The exponential distribution's parameter is the mean detected rate given by the Poisson distribution associated to that counted rate. Using this result the dead time corrections are calculated for a number of counted rates taken from a real experiment which took place at Tandem accelerator (IFINHH). The corrections are made by integrated the probability distribution function on the time interval between zero and the dead time value. Comparisons are also made with the corrections implemented using standard dead time models.
References:
1) Glenn F. KNOLL, 'Radiation Detection and Measurement', third edition, 2000
2) Amol PATIL, 'Dead time and count loss determination for radiation systems in high count rate applications' (2010), Doctoral Dissertations Paper 2148, Missouri University, USA
Acknowledgement: Marian BOROMIZA would like to acknowledge the partial support of the POSDRU PROGRAM: POSDRU/159/1.5/S/ 137750 during his PhD thesis.



