In mathematics the estimation lemma, also known as the ML inequality, gives an upper bound for a contour integral. If f is a complex-valued, continuous...

This example shows that Jordan's lemma can be used instead of a much simpler estimation lemma. Indeed, estimation lemma suffices to calculate ∫ − ∞ ∞ e...

lemma (functional and numerical analysis) Vitali covering lemma (real analysis) Watson's lemma Estimation lemma (contour integrals) Hartogs's lemma (several...

Stein's lemma, named in honor of Charles Stein, is a theorem of probability theory that is of interest primarily because of its applications to statistical...

simplifying the computation or (especially) estimation of certain types of sums. It is also called Abel's lemma or Abel transformation, named after Niels...

integral over the arc of the semicircle tends to zero as a → ∞, using the estimation lemma | ∫ Arc f ( z ) d z | ≤ M L {\displaystyle \left|\int _{\text{Arc}}f(z)\...

of articles with mathematical proofs: Bertrand's postulate and a proof Estimation of covariance matrices Fermat's little theorem and some proofs Gödel's...

distribution Vapnik–Chervonenkis theory Varadhan's lemma Variable Variable kernel density estimation Variable-order Bayesian network Variable-order Markov...

can be uniformly improved when many parameters are estimated; for Stein's lemma, giving a formula for the covariance of one random variable with the value...

Math., 649, Springer, Berlin, 1978, Lemma 2.1 (French). Tsybakov, Alexandre B., Introduction to nonparametric estimation, Revised and extended from the 2004...