The phrase "analytical estimates of" is correct and usable in written English.
It can be used in contexts where you are discussing evaluations or assessments that involve analysis, often in fields like statistics, economics, or research.
Example: "The researchers provided analytical estimates of the project's potential impact on local wildlife."
Alternatives: "analytical assessments of" or "analytical evaluations of".
The experimental and analytical estimates of the peak dowel force are compared with existing equations calibrated for normal strength concrete.
Accurate analytical estimates of non-linear mode periods are formulated for both non-gyroscopic and gyroscopic systems.
We develop fairly simple analytical estimates of the overall deformation of photo-actuated liquid crystal elastomer plates, and also carry out more accurate nonlinear finite element simulations.
The constitutive responses of unreinforced gels are determined using inverse finite element modeling in combination with analytical estimates of material parameters.
Analytical estimates of the amount of gravity-driven vertical motion of proppant which can occur within a hydraulic fracture during placement are derived, and used to investigate the conditions under which large gravity driven flows can occur.
Analytical estimates of the torque range and the rotor acceleration are derived based on a truncated version of the equations, and more accurate estimates are obtained from a numerical solution of the non-truncated equations.
An analytical estimate of the critical curvature is developed.
Using those equations, an analytical estimate of the fourth body effect valid for any system of primaries is derived.
In the present work, a conservative analytical estimate of the effects of radiation heat loss is derived and validated against detailed numerical simulations.
A second contribution is the procedure for design optimization, for which an analytical estimate of the Robust Probability Of Detection, called RPOD, is presented for use as optimality criteria.
Heterogeneous spatial distribution of quench products hinders an analytical estimate of the amount of solutes in fluids and of volatile components in liquids.
