System for determining a distribution of a position error of a receiver for location signals, the signals being sent by at least one satellite, the system comprising: • the receiver, one position of which is referred to as the first position and is affected by an error, referred to as the first error, having a distribution which is referred to as a first distribution; • a first determination device for determining at least one position of the or at least one or each satellite, referred to as the second position, • a transmission device for transmitting the or at least one or each second position of the first determination device to the receiver, the system being characterised in that • the first distribution is defined by means of at least a first cumulant of order greater than 2, • the first device is further capable of determining at least a second cumulant, of order greater than 2, representative of a second distribution of a second error at the second position, • the transmission device is further capable of transmitting the or at least one or each second cumulant of the first determination device to the receiver, • and in that the receiver comprises: ∘ a second determination device for determining the or at least one or each first cumulant from the second position of the second cumulant and a model for determining the first position of the receiver from distances between the receiver and the satellite(s), and ∘ a third determination device for determining the first distribution from the or at least one or each first cumulant. • the receiver, one position of which is referred to as the first position and is affected by an error, referred to as the first error, having a distribution which is referred to as a first distribution; • a first determination device for determining at least one position of the or at least one or each satellite, referred to as the second position, • a transmission device for transmitting the or at least one or each second position of the first determination device to the receiver, the system being characterised in that • the first distribution is defined by means of at least a first cumulant of order greater than 2, • the first device is further capable of determining at least a second cumulant, of order greater than 2, representative of a second distribution of a second error at the second position, • the transmission device is further capable of transmitting the or at least one or each second cumulant of the first determination device to the receiver, • and in that the receiver comprises: ∘ a second determination device for determining the or at least one or each first cumulant from the second position of the second cumulant and a model for determining the first position of the receiver from distances between the receiver and the satellite(s), and ∘ a third determination device for determining the first distribution from the or at least one or each first cumulant. ∘ a second determination device for determining the or at least one or each first cumulant from the second position of the second cumulant and a model for determining the first position of the receiver from distances between the receiver and the satellite(s), and ∘ a third determination device for determining the first distribution from the or at least one or each first cumulant.