I've written a number of "flash-card" style vocabulary learning
programs over the years that have attempted to "adapt" based on the
user's performance.

The algorithms for determining which card to show next have been
largely ad hoc, but I'd now like to give them a more statistical
basis.

If we assume that the card we wish to show next is the one for which
the time since last asked divided by the estimated time to forget is
greatest, how should the estimated time to forget be calculated?

I am trying to get up to speed on the relevant statistical theory to
apply here. It seems that survival data statistics might be a
promising approach but I'm not sure how exactly to apply it to
individual flash cards.

Can anyone help me?

To make it more concrete: imagine that I have n flash cards and for
the jth showing of the ith flash card I record t_i[j], the time asked,
r_i[j], the result (right or wrong).

Thanks in advance

James
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