About the use of infitive: -ing or to-infinitive

[fedemdp]

Hello,

I always have doubts about the use of infinitives. Sometimes, I'm quite sure I'm using them correctly, and sometimes not.

Now, I was writing down a report, and this specific sentence raised doubts in my mind:

Firstly I wrote "Numerical methods allow predicting the parameters". But now I'm thinking "Numerical methods allow to predict the parameters" is better.

Are both correct, and if so, which is better?

Thanks!

[Alan]

It is an infinitive construction, but it requires an object, e.g.

Numerical methods allow us to predict the parameters.