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The present work deals with kinematical models of latetime cosmology. It isbased on purely phenomenological assumption about the deceleration parameter.The models are confronted to observational data sets of type Ia supernovaedistance modulus measurements and measurements of Hubble parameter at differentredshift. Constraints on the cosmological parameters are obtained by MarkovChanin Monte Charlo (MCMC) analysis using the observation data sets. The valuesof present Hubble parameter, deceleration parameter and the redshift oftransition from decelerated to accelerated phase of expansion are estimated forthe present kinematical models. Further the properties of dark energy for thepresent models are explored with general relativistic assumptions. The darkenergy diagnostics, namely the Om diagnostic and the statefinder are adoptedfor a comparison of the present models. A phase space constructed of twodifferent statefinder parameters breaks the degeneracy of the models. It isobserved that the kinematical models attain the corresponding {\Lambda}CDMvalue on the phase space in the course of evolution. The evolution of matterdensity contrast at linear level has also been studied for the presentkinematical models.

Kinematical models of latetime cosmology and the statefinder diagnostic