Step 1:
Ashtadhyayi was composed by:
\[
\boxed{\text{Panini}}
\]
Step 2:
Paramalaghumanjusha is associated with:
\[
\boxed{\text{Nageshabhatta}}
\]
Step 3:
Siddhantakaumudi was written by Bhattojidikshita, while Vakyapadiya was composed by Bhartrihari.
Step 4:
Hence, the correct sequence is:
\[
A-I,\; B-II,\; C-III,\; D-IV
\]
Therefore, the correct answer is:
\[
\boxed{\text{(2)}}
\]