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  • Theorem
  • We prove an abstract approximation theorem that is applicable to a wide variety of problems, primarily in statistics. (repec.org)
  • In particular, the bound in the main approximation theorem is non-asymptotic and the theorem does not require uniform boundedness of the class of functions. (repec.org)
  • We study applications of this approximation theorem to local empirical processes and series estimation in nonparametric regression where the classes of functions change with the sample size and are not Donsker-type. (repec.org)
  • calculation
  • This approximation is often forced upon the physicists because the calculation with the Grassmann numbers is computationally very difficult in lattice gauge theory. (wikipedia.org)
  • Generally, this allows three important approximations (for θ in radians) for calculation of the ray's path, namely: sin ⁡ θ ≈ θ , tan ⁡ θ ≈ θ and cos ⁡ θ ≈ 1. (wikipedia.org)