The probability distribution of the ambiguity bootstrapped GNSS baseline

The purpose of carrier phase ambiguity resolution is to improve upon the qu ality of the estimated global navigation satellite system baseline by means of the integer ambiguity constraints. However, in order to evaluate the qu ality of the ambiguity resolved baseline rigorously, its probability distri bution is required. This baseline distribution depends on the random charac teristics of the estimated integer ambiguities, which in turn depend on the chosen integer estimator. In this contribution is presented an exact and c losed-form expression for the baseline distribution in the case that use is made of integer bootstrapping. Also presented are the bootstrapped probabi lity mass function and easy-to-compute measures for the bootstrapped baseli ne's probability of concentration.