John L Lumley has written a number of well regarded books on the general subject of turbulence, but "Stochastic Tools in Turbulence" is severely misnamed. A better title would have been "Mathematics of Three-Dimensional Stochastic Vector Fields." If you are looking for careful definitions of probabalistic ideas in terms of measures and Lebesgue integrals, and a derivation of the Characteristic functional for the multipoint probabilities, this book might be a good choice. If, on the other hand, you (like me) were just trying to make sense out of estimating the Reynolds Stress Tensor from 20 Hz anemometer data - not so much.
There is no discussion of applications, much less application to turbulence or fluid flow whatsoever. There are a number of long appendices, but since the only one I read was the (very nice) one on generalized functions, I won't comment further on them. Monin and Yaglom's two volume "Statistical Fluid Mechanics" which covers much of the same ground plus much, much more is far more fluid oriented, but still a bit theoretical (and long) for my purposes, so I'm still looking for a good discussion of my questions.