  This paper characterizes the meta distribution of the downlink
signal-to-interference ratio (SIR) attained at a typical Internet-of-Things
(IoT) device in a dual-hop IoT network. The IoT device associates with either a
serving macro base station (MBS) for direct transmissions or associates with a
decode and forward (DF) relay for dual-hop transmissions, depending on the
biased received signal power criterion. In contrast to the conventional success
probability, the meta distribution is the distribution of the conditional
success probability (CSP), which is conditioned on the locations of the
wireless transmitters. The meta distribution is a fine-grained performance
metric that captures important network performance metrics such as the coverage
probability and the mean local delay as its special cases. Specifically, we
derive the moments of the CSP in order to calculate analytic expressions for
the meta distribution. Further, we derive mathematical expressions for special
cases such as the mean local delay, variance of the CSP, and success
probability of a typical IoT device and typical relay with different offloading
biases. We take in consideration in our analysis the association probabilities
of IoT devices. Finally, we investigate the impact of increasing the relay
density on the mean local delay using numerical results.
