  It remains an open question how realist view of macroscopic world emerges
from quantum formalism. For testing the macrorealism in quantum domain, an
interesting approach was put forward by Leggett and Garg in $1985$, by
formulating a suitable inequality valid for any macrorealistic theory.
Recently, by following the Wigner idea of local realist inequality, a
probabilistic version of standard Leggett-Garg inequalities have also been
proposed. While the Wigner form of local realist inequalities are equivalent to
the two-party, two-measurements and two outcomes CHSH inequalities, in this
paper we provide a generic proof to demonstrate that the Wigner form of
Leggett-Garg inequalities are not only inequivalent to the standard ones but
also stronger than the later. This is demonstrated by quantifying the amount of
disturbance caused by a prior measurement to the subsequent measurements. In
this connection, the relation between LGIs and another formulation of
macrorealism known as no-signaling in time is examined.
