Method for monitoring a degradation of an on-board device of an aircraft with automatic determination of a decision threshold

A method for monitoring degradation of an on-board device of an aircraft includes comparing an abnormality score obtained for a given aircraft flight to a decision threshold and emitting an alarm when the decision threshold is exceeded. The decision threshold is determined automatically for a given alarm probability Pa, corresponding to probability of an alarm being emitted during the monitoring when the on-board device is undamaged, by: calculating plural abnormality scores for plural flights of the aircraft without degradation to obtain a probability density distribution of the abnormality score, the distribution being specific to a physical nature of the on-board device; adjusting the distribution using a non-parametric estimator of the probability density to obtain a continuous adjusted distribution function; calculating a continuous adjusted allocation function from the continuous adjusted distribution function; and reading precedent of the continuous adjusted allocation function for value 1-Pa, the precedent corresponding to the decision threshold.