Zobrazeno 1 - 10
of 28
pro vyhledávání: '"Landi, Giovanni E."'
Autor:
Landi, Gregorio, Landi, Giovanni E.
The optimizations of the track fittings require complex simulations of silicon strip detectors to be compliant with the fundamental properties of the hit heteroscedasticity. Many different generations of random numbers must be available with distribu
Externí odkaz:
http://arxiv.org/abs/2309.01216
Autor:
Landi, Gregorio, Landi, Giovanni E.
The approach to heteroscedasticity of ref.1(Instruments 2022, 6(1), 10) contains a sketchy application of a sub-optimal method of very easy implementation: the lucky model. The supporting proof of this method could not be inserted in ref.1. The proof
Externí odkaz:
http://arxiv.org/abs/2205.14538
Autor:
Landi, Gregorio, Landi, Giovanni E.
To complete a previous work, the probability density functions for the errors in the center-of-gravity as positioning algorithm are derived with the usual methods of the cumulative distribution functions. These methods introduce substantial complicat
Externí odkaz:
http://arxiv.org/abs/2103.03464
Autor:
Landi, Gregorio, Landi, Giovanni E.
The center of gravity is one of the most frequently used algorithm for position reconstruction with different analytical forms for the noise optimization. The error distributions of the different forms are essential instruments to improve the track f
Externí odkaz:
http://arxiv.org/abs/2011.14474
Autor:
Landi, Gregorio, Landi, Giovanni E.
To complete a previous paper, the probability density functions of the center-of-gravity as positioning algorithm are derived with classical methods. These methods, as suggested by the textbook of Probability, require the preliminary calculation of t
Externí odkaz:
http://arxiv.org/abs/2006.02934
Autor:
Landi, Gregorio, Landi, Giovanni E.
The center of gravity is a widespread algorithm for position reconstruction in particle physics. For track fitting, its standard use is always accompanied by an easy guess for the probability distribution of the positioning errors. This is an incorre
Externí odkaz:
http://arxiv.org/abs/2004.08975
Autor:
Landi, Gregorio, Landi, Giovanni E.
Publikováno v:
PHYSICS 2020 2(4) 608
It is a standard criterium in statistics to define an optimal estimator the one with the minimum variance. Thus, the optimality is proved with inequality among variances of competing estimators. The inequalities, demonstrated here, disfavor the stand
Externí odkaz:
http://arxiv.org/abs/2003.10021
Autor:
Landi, Gregorio, Landi, Giovanni E.
Publikováno v:
INSTRUMENTS 2020 4.1
The Cramer-Rao-Frechet inequality is reviewed specializing it to track fitting. A diffused opinion attributes to this inequality the limitation of the resolution of the track fits with the number N of observations. It turns out that this opinion is i
Externí odkaz:
http://arxiv.org/abs/1910.14494
Autor:
Landi, Gregorio, Landi, Giovanni E.
A very simple Gaussian model is used to illustrate a new fitting result: a linear growth of the resolution with the number N of detecting layers. This rule is well beyond the well-known rule proportional to $\sqrt{N}$ for the resolution of the usual
Externí odkaz:
http://arxiv.org/abs/1808.06708
Autor:
Landi, Gregorio, Landi, Giovanni E.
Publikováno v:
Instruments 2018, 2(4), 22
A new fitting method is explored for momentum reconstruction of tracks in a constant magnetic field for a silicon-strip tracker. Substantial increases of momentum resolution respect to standard fit is obtained. The key point is the use of a realistic
Externí odkaz:
http://arxiv.org/abs/1806.07874