  The study of cosmic expansion history and the late time cosmic acceleration
from observational data depends on the nuisance parameters associated with the
data. For example, the absolute peak magnitude of type Ia supernova associated
with the type Ia supernova observations and the comoving sound horizon at the
baryon drag epoch associated with baryon acoustic oscillation observations are
two nuisance parameters. The nuisance parameters associated with the the
gamma-ray bursts data are also considered. These nuisance parameters are
constrained by combining the cosmological observations using the Gaussian
process regression method with minimal model dependence. The bounds obtained in
this method can be used as the prior for the data analysis while considering
the observational data accordingly. Along with these nuisance parameters, the
cosmic curvature density parameter is also constrained simultaneously. We find
that the constraints on the cosmic curvature density parameter show no
significant deviations from a flat Universe.
