Normal Transversality and Uniform Bounds
نویسندگان
چکیده
منابع مشابه
Normal transversality and uniform bounds
Let A be a commutative ring. A graded A-algebra U = ⊕n≥0Un is a standard A-algebra if U0 = A and U = A[U1] is generated as an A-algebra by the elements of U1. A graded U -module F = ⊕n≥0Fn is a standard U -module if F is generated as an U -module by the elements of F0, that is, Fn = UnF0 for all n ≥ 0. In particular, Fn = U1Fn−1 for all n ≥ 1. Given I, J , two ideals of A, we consider the follo...
متن کاملUniform and Non-uniform Bounds in Normal Approximation for Nonlinear Statistics
Let T be a general sampling statistic that can be written as a linear statistic plus an error term. Uniform and non-uniform Berry-Esseen type bounds for T are obtained. The bounds are best possible for many known statistics. Applications to U-statistic, multi-sample U-statistic, L-statistic, random sums, and functions of non-linear statistics are discussed.
متن کاملUniform Bounds on Multigraded Regularity
We give an effective uniform bound on the multigraded regularity of a subscheme of a smooth projective toric variety X with a given multigraded Hilbert polynomial. To establish this bound, we introduce a new combinatorial tool, called a Stanley filtration, for studying monomial ideals in the homogeneous coordinate ring of X . As a special case, we obtain a new proof of Gotzmann’s regularity the...
متن کاملUniform Bounds for Bessel Functions
For ν > −1/2 and x real we shall establish explicit bounds for the Bessel function Jν(x) which are uniform in x and ν. This work and the recent result of L. J. Landau [7] provide relatively sharp inequalities for all real x.
متن کاملImproved Uniform Test Error Bounds
We derive distribution free uniform test error bounds that improve on VC type bounds for validation We show how to use knowledge of test inputs to improve the bounds The bounds are sharp but they require intense computation We introduce a method to trade sharpness for speed of computation Also we compute the bounds for several test cases Key wordsmachine learning learning theory generalization ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of the London Mathematical Society
سال: 2000
ISSN: 0024-6107
DOI: 10.1112/s0024610700001538