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arXiv:2510.13838·v1·Data Analysis, Statistics and Probability

Efficiency correction of particle-averaged quantities

Masakiyo Kitazawa🇯🇵 · ShinIchi Esumi🇯🇵 · Takafumi Niida🇯🇵 · Toshihiro Nonaka🇯🇵

Abstract

We derive analytic formulas to reconstruct particle-averaged quantities from experimental results that suffer from the efficiency loss of particle measurements. These formulas are derived under the assumption that the probabilities of observing individual particles are independent. The formulas do not agree with the conventionally used intuitive formulas.

Comments: 24 pages, 1 figure