  The present thesis is devoted to the non-parametric reconstruction of some
cosmological parameters using diverse observational datasets. The Universe is
assumed to be spatially homogeneous and isotropic, thus described by the FLRW
metric. The first chapter provides a brief introduction to cosmology and
focuses on the reconstruction methods. An assessment of the cosmic
distance-duality relation is discussed in chapter 2. In chapter 3, a
non-parametric reconstruction of the cosmological jerk parameter is carried
out. Chapter 4 explores the possibility of a non-gravitational interaction in
the cosmic dark sector. In chapter 5, attempts are made to revisit a
non-parametric reconstruction of the cosmic deceleration parameter using
various combinations of recently updated background datasets and the growth
rate of structure measurements from the redshift-space distortions. Finally,
chapter 6 contains the concluding remarks and relevant discussion regarding the
overall work presented in the thesis.
