After the artist passes these are the guidelines used by
the art market to determine values.  If these things are
being done, then this artist's reputation is being managed
properly and you would be well advised to wait quite some
years to see what transpires because, in many cases you
will see significant appreciation on these works.
I have also seen artists whose family sold off the
remaining artworks at whatever they could get.
These are both good times to sell your artwork of the
deceased artist. Of course if you still love the piece just like
you did on the day you bought it, then keep it because it's
important to you. Let your kids or grandkids decide it's
future destiny.