… In this case, we can analyze for each clock individually and identify the … the model detects
an error in the atomic clock. The corrected atomic clock can be created by swapping the jump …

… Note that this case is exactly the one we are most interested in, since the … of atomic clocks,
in particular the mathematical modelling of a rubidium clock’s lamplight/frequency jumps and …

… therefore have a direct negative impact on the user positioning error [15]–[17]. The advantage
… A critical but interesting case is to detect jumps when the natural clock behavior is affected …

… of units (as in the case of mass and time) to coordination through … of an atomic clock mainly
include frequency jump and … according to a mathematical model and statistical method. …

… solutions, where it should be expected a linear behaviour of the atomic clocks. In this
case, as for the receiver clocks, most of the RMS errors are maintained at the level of few …

… was denoted by yn and the jump at the right side of the … a mathematical model of atomic
clocks, see Eq. (26), and studied the stationary state of this model for the case of unbiased clocks…

… that lamplight jumps, which lead to RAFS frequency jumps via the light shift, … Note that in all
cases, the effect size is less than unity, … error of the satellites and the time error of the onboard …

… For the usual case of two earthbound clocks at rest, the resulting frequency shift is directly …
the law of error propagation), which again has to be considered as a best-case scenario. This …

… available error estimate, e 2 the preceding error estimate, … , when the clock servo is jumping
between Ramsey fringes. … In this case we can be certain that the phase was not near $\…

… is the Bayesian mean squared error of the estimated phase for … In analogous variational
optimizations of optical atomic clocks… Appendix D for the case of a phase operator as observable. …