  We calculate the electron recombination rates with target ions W$^{q+}$, $q =
18$ -- $25$, as functions of electron energy and electron temperature (i.e. the
rates integrated over the Maxwellian velocity distribution). Comparison with
available experimental data for W$^{18+}$, W$^{19+}$, and W$^{20+}$ is used as
a test of our calculations. Our predictions for W$^{21+}$, W$^{22+}$,
W$^{23+}$, W$^{24+}$, and W$^{25+}$ (where the experimental data are not
available) may be used for plasma modelling in thermonuclear reactors. The
results for the temperature dependent rates for each ion are fitted with the
standard analytical expressions to make them easy to use. All of these ions
have an open electron $f$-shell and have an extremely dense spectrum of chaotic
many-electron compound resonances which enhance the recombination rates by 2-3
orders of magnitude in comparison with the direct electron recombination.
Conventional dielectronic recombination theory is not directly applicable in
this case. Instead, we developed a statistical theory based on the properties
of chaotic eigenstates. This theory describes a multi-electronic recombination
(extension of the dielectronic recombination) via many-excited-electron
compound resonances.
