Summary
A modification of the maximum-likelihood method is given for the case where there exists previously known experimental information. This method is widely applicable for the handling of data from experiments where the scattering of particles is measured with the help of track detectors. The errors of calculated parameters are derived, and the question of sufficiency of experimental information is discussed. The goodness of fit of experimental data is treated, and an illustrative example is given concerning a scattering polarization experiment using spark chambers.
Riassunto
Si propone una modifica del metodo di massima verosimiglianza per il caso in cui esistano dati sperimentali precedentemente noti. Il metodo si può largamente applicare in quei casi in cui si ha a che fare con dati ottenuti da esperimenti di scattering in cui si fa uso di rivelatori di tracce. Si ricavano gli errori dei parametri calcolati, e si discute la sufficienza dell’informazione ottenuta sperimentalmente. Si esamina il problema della bontà dei dati sperimentali e, a titolo di esempio, si applica il metodo ad un esperimento di polarizzazione di scattering con camere a scintilla.
Реэюме
Приводится модификация метода максимального правдоподобия для случая, когда сушествует предварительно иэвестная зкспериментальная информация. Этот метод щироко применим для обработки данных иэ зкспериментов, где рассеяние частиц иэмеряется с помошью трековых детекторов. Определяются ощибки вычисленных параметров и обсуждается вопрос достаточности зкспериментальной информации. Рассматривается согласие зкспериментальных данных и приводится иллюстративный пример, касаюшийся поляриэационного зксперимента рассеяния с испольэованием искровых камер.
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Bystricky, J., Lehar, F. & Silin, I.N. Likelihood handling of scattering data with previous experimental information. Nuov Cim A 1, 601–618 (1971). https://doi.org/10.1007/BF02734387
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DOI: https://doi.org/10.1007/BF02734387