Presumably you are choosing to invest in an asset because over the long term you believe it will go up. But you know nothing about what it will do in any defined timeframe.
Choosing to DCA with a fixed strategy is choosing x prices at which to enter, of which (x-1) are unknown. But they are fixed, and based on your above assumptions you know nothing about them except that they're generally trending upwards (and thus your entry price is averaging up by DCAing). Knowing nothing means knowing nothing, it's as likely to vary upwards as down.
You can express the above as a summation with a positive (but unknown) dv/dt and a canceling-out e if you think better in notation, but I can't figure out how to make that legible in a HN comment.
If you have any reason to believe that there is more downside risk than upside risk over the DCA period, then you should delay investing until that is no longer true, and go 100% at that time.
DCA is essentially the same intuitive leap as the Monty Hall problem, but backwards.