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17 Jun 2019: Paper 4. 13. 21C Mathematical Methods. State Watson’s lemma giving an asymptotic expansion as λ for an integral ofthe form.

30 Aug 2019: Watson’s lemma may be quoted without proof. 0. eu log u du = γ where γ is Euler′s constant.].

17 Jun 2019: State Watson’s lemma describing the asymptotic behaviour ofI(λ) as λ, and determine an expression for the general term in the asymptotic series.

30 Aug 2019: Watson estimator m̂Kn,h. Now suppose that m is differentiable, with m′ L, and V is bounded by σ2 > 0.Prove that if n > 2h1, and x [0,1],.

17 Jun 2019: Paper 4 [TURN OVER. 16. 21A Mathematical Methods. State Watson’s lemma, describing the asymptotic behaviour of the integral.

30 Aug 2019: the Nadaraya–Watson (local constant)estimator m̂(x).

20 Jul 2021: Part II, Paper 3. 17. 30A Asymptotic Methods(a) Carefully state Watson’s lemma. ... b) Use the method of steepest descent and Watson’s lemma to obtain an infiniteasymptotic expansion of the function.

30 Aug 2019: 6. Define the fixed and random design nonparametric regression model. Define theNadaraya-Watson estimator.

16 Oct 2019: Part II, Paper 3. 19. 30A Asymptotic Methods(a) State Watson’s lemma for the case when all the functions and variables involved. ... Thecomplex version of Watson’s lemma is obtained by replacing x with the complex variablez, and is valid for |z| and

30 Aug 2019: 3. 2 By means of Watson’s lemma, show that the asymptotic expansion of the integral.