  This paper derives the asymptotic k-th maximum order statistics of a sequence
of independent and non-identically distributed (i.n.i.d.) non-central
chi-square random variables with two degrees of freedom. We demonstrate the
utility of these results in characterising the signal to noise ratio of a k-th
best selection combining receiver with access to a large number of i.n.i.d.
signal links each experiencing Rician fading. Furthermore, we derive simple
expressions for the corresponding outage probability,average throughput,
achievable throughput, and the average bit error probability. The proposed
results are validated via extensive Monte Carlo simulations.
