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MATHEMATICAL TRIPOS Part II 2024 List of Courses Algebraic ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2024/list_ii.pdf4 Jul 2024: 30C Asymptotic Methods. (a) State Watson’s lemma. (b) Consider the integral. -
MATHEMATICAL TRIPOS Part III Friday, 7 June, 2013 9:00 ...
https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2013/paper_33.pdf30 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],. -
MATHEMATICAL TRIPOS Part II Alternative A Thursday 6 June ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2002/PaperIIA_4.pdf17 Jun 2019: Paper 4. 13. 21C Mathematical Methods. State Watson’s lemma giving an asymptotic expansion as λ for an integral ofthe form. -
MATHEMATICAL TRIPOS Part III Thursday, 31 May, 2018 1:30 ...
https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2018/paper_210.pdf30 Aug 2019: the Nadaraya–Watson (local constant)estimator m̂(x). -
MATHEMATICAL TRIPOS Part II Alternative A Thursday 5 June ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2003/PaperIIA_3.pdf17 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. -
MATHEMATICAL TRIPOS Part III Thursday, 2 June, 2011 1:30 ...
https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2011/paper_32.pdf30 Aug 2019: 6. Define the fixed and random design nonparametric regression model. Define theNadaraya-Watson estimator. -
MATHEMATICAL TRIPOS Part II Alternative A Friday 4 June ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2004/PaperIIA_4.pdf17 Jun 2019: Paper 4 [TURN OVER. 16. 21A Mathematical Methods. State Watson’s lemma, describing the asymptotic behaviour of the integral. -
MATHEMATICAL TRIPOS Part III Thursday, 7 June, 2012 9:00 ...
https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2012/paper_39.pdf30 Aug 2019: 4. 5. Define the fixed and random design regression models. Carefully define theNadaraya-Watson estimator and the local polynomial regression estimator. -
MATHEMATICAL TRIPOS Part III Thursday 2 June, 2005 1.30 ...
https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2005/Paper79.pdf30 Aug 2019: 3. 2 By means of Watson’s lemma, show that the asymptotic expansion of the integral. -
MATHEMATICAL TRIPOS Part II Saturday, 12 June, 2021 10:00am ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2021/paperii_3_2021.pdf20 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.
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