  Focusing on the redshift space observations with plane-parallel approximation
and relying on the rotational dependency of the general definition of excursion
sets, we introduce the so-called conditional moments of the first derivative
($cmd$) measures for the smoothed matter density field in three dimensions. We
derive the perturbative expansion of $cmd$ for the real space and redshift
space where peculiar velocity disturbs the galaxies' observed locations. Our
criteria can successfully recognize the contribution of linear Kaiser and
Finger-of-God effects. Our results demonstrate that the $cmd$ measure has
significant sensitivity for pristine constraining the redshift space distortion
parameter $\beta=f/b$ and interestingly, the associated normalized quantity in
the Gaussian linear Kaiser limit has only $\beta$ dependency. Implementation of
the synthetic anisotropic Gaussian field approves the consistency between the
theoretical and numerical results. Including the first-order contribution of
non-Gaussianity perturbatively in the $cmd$ criterion implies that the N-body
simulations for the Quijote suite in the redshift space have been mildly skewed
with a higher value for the threshold greater than zero. The non-Gaussianity
for the perpendicular direction to the line of sight in the redshift space for
smoothing scales $R\gtrsim 20$ Mpc h$^{-1}$ is almost the same as the real
space. In contrast, the non-Gaussianity along the line of sight direction in
redshift space is magnified. The Fisher forecasts indicate an almost
significant enhancement in constraining the cosmological parameters,
$\Omega_m$, $\sigma_8$, and $n_s$ when using $cmd+cr$ jointly.
