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We investigate the ability of the Laser Interferometer Space Antenna (LISA)to detect a stochastic gravitational-wave background (GWB) produced by cosmicstrings, and to subsequently estimate the string tension $G\mu$ in the presenceof instrument noise, an astrophysical background from compact binaries, and thegalactic foreground from white dwarf binaries. Fisher Information and MarkovChain Monte Carlo methods provide estimates of the LISA noise and theparameters for the different signal sources. We demonstrate the ability of LISAto simultaneously estimate the galactic foreground, as well as theastrophysical and cosmic string produced backgrounds. Considering the expectedastrophysical background and a galactic foreground, a cosmic string tension inthe $G \mu \approx 10^{-16}$ to $G\mu \approx 10^{-15}$ range or bigger couldbe measured by LISA, with the galactic foreground affecting this limit morethan the astrophysical background. The parameter estimation methods presentedhere can be applied to other cosmological backgrounds in the LISA observationband.

Ability of LISA to detect a gravitational-wave background of cosmological origin: the cosmic string case