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Whenever a compound exhibits a spontaneous muSR oscillation, long-rangemagnetic ordering is usually inferred. Here we show that some caution isrequired. The coherence length needs not to be large for a spontaneous muonspin precession to be observed. Establishing the incommensurate nature of amagnetic structure, solely based on muSR measurements, may not be reliable. Theabsence of a spontaneous muon precession at low temperature does not mean thatthe system under investigation does not display long-range magnetic ordering.  The relaxation measured in zero and longitudinal field in the quasi-staticlimit is usually analyzed in the framework of the strong-collision model, thestatic polarization function being taken to be the famous Kubo-Toyabe function.This might not be satisfactory if short-range correlation effects are strong.Here we propose a method based on the maximum entropy concept and reverse MonteCarlo technique which gives results consistent with those obtained in 2013 byanalytical means for the considered example.

New insights for the description of magnetic correlations inferred from muSR