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A FUNCTIONAL HUNGARIAN CONSTRUCTION FOR SUMS OF INDEPENDENT RANDOM VARIABLES
Komlos-Major–Tusnády inequality Partial sum process Non-identically distributed variables Function classes Asymptotic equivalence of statistical experiments
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2015/8/25
We develop a Hungarian construction for the partial sum process of independent non-identically distributed random variables. The process is indexed by functions f from a class H, but the supremum over...
Some fascinating series and their sums
identities series sums algebraic and trigonometric series
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2011/3/1
In this paper we present some interesting results involving summation of series in particular trigonometric ones.
Gauss Sums of the Cubic Character over $GF(2^m)$: an elementary derivation
Gauss sum character binary finite fields
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2011/2/25
An elementary approach is shown which derives the value of the Gauss sum of a cubic char-
acter over a finite field F2s without using Davenport-Hasse’s theorem (namely, if s is odd the
Gauss sum is ...