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For moving average processes with random coefficients and heavy-tailedinnovations that are weakly dependent in the sense of strong mixing and localdependence condition $D'$ we study joint functional convergence of partial sumsand maxima. Under the assumption that all partial sums of the series ofcoefficients are a.s. bounded between zero and the sum of the series we derivea functional limit theorem in the space of $\mathbb{R}^{2}$-valuedc\`{a}dl\`{a}g functions on $[0, 1]$ with the Skorokhod weak $M_{2}$ topology.

Joint functional convergence of partial sums and maxima for moving averages with weakly dependent heavy-tailed innovations and random coefficients