Linguistic theory has not "moved on" to HPSG. HPSG originated in the early 90s and remains a minority pursuit.
The term "statistical approaches" could mean almost anything. There have always been people who are more interested in building, say, practical machine translation systems than in figuring out how kids acquire grammatical knowledge. But again, the field has not "moved on". There are just different groups of researchers working on different problems.
The term "statistical approaches" could mean almost anything. There have always been people who are more interested in building, say, practical machine translation systems than in figuring out how kids acquire grammatical knowledge. But again, the field has not "moved on". There are just different groups of researchers working on different problems.