  This paper proposes a novel approach for computing the meta distribution of
the signal-to-interference-plus-noise ratio (SINR) for the downlink
transmission in a wireless network with Rayleigh fading. The novel approach
relies on an approximation mix of exact and mean-field analysis of interference
(dominant interferer-based approximation) to reduce the complexity of analysis
and enhance tractability. In particular, the proposed approximation omits the
need to compute the first or the second moment of the SINR that is used in the
beta approximation typically adopted in the literature but requires of
computing the joint distance distributions. We first derive the proposed
approximation based on a Poisson point process (PPP) network with a standard
path-loss and Rayleigh fading and then illustrate its accuracy and operability
in another four widely used point processes: Poisson bipolar network,
Mat\'{e}rn cluster process (MCP), $K$-tier PPP and Poisson line Cox process
(PLCP). Specifically, we obtain the SINR meta distribution for PLCP networks
for the first time. Even though the proposed approximation looks simple but it
shows good matching in comparison to the popular beta approximation as well as
the Monte-Carlo simulations, which opens the door to adopting this
approximation in more advanced network architectures.
