  We link observational parameters such as the deceleration parameter, the
jerk, the kerk (snap) and higher-order derivatives of the scale factor, called
statefinders, to the conditions which allow to develop sudden future
singularities of pressure with finite energy density. In this context, and
within the framework of Friedmann cosmology, we also propose higher-order
energy conditions which relate time derivatives of the energy density and
pressure which may be useful in general relativity.
