At. Walden, INTERPRETATION OF GEOPHYSICAL BOREHOLE DATA VIA INTERPOLATION OF FRACTIONALLY DIFFERENCED WHITE-NOISE, Applied Statistics, 43(2), 1994, pp. 335-345
In the quest for a simple numerical characteristic for describing the
nature of reflectivity series derived from borehole data, the index of
linear determinism-an interpolation diagnostic-is developed for stati
onary, but not necessarily invertible, fractionally differenced white
noise processes. The interpolability of borehole reflectivity time ser
ies is thus assessed and satisfactorily related to the underlying phys
ical situation.