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Joint Econometrics and Statistics Workshop

A simple test for monotonicity and monotonicity-related properties

Javier Hidalgo (LSE), joint with Tatiana Komarova

Friday 08 December 2017 12:00 - 13:00

32L LG.18, Lower Ground Floor, LSE, 32 Lincoln's Inn Fields, London WC2A 3PH

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About this event

We describe and examine a test for shape constraints, such as monotonicity, convexity (or both such properties simultaneously), or U-shape, in a nonparametric framework using partial sums empirical process. We show that, after a suitable transformation, its asymptotic distribution is a functional of the standard Brownian motion, so that critical values are available. However, due to the possible poor approximation of the asymptotic critical values to the finite sample ones, we also describe a valid bootstrap algorithm. In addition, we outline how the methodology can be extended to a framework when other covariates are present and no shape-related properties are imposed on them.

Econometrics and Statistics seminars are held on Fridays in term time at 12:00-13:00, ONLINE, unless specified otherwise.

Seminar organisers: Dr Tatiana Komarova and Dr Yunxiao Chen.

For further information please contact Lubala Chibwe, either by email:

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This event will take place in 32L LG.18, Lower Ground Floor, LSE, 32 Lincoln's Inn Fields, London WC2A 3PH. The building is labelled on the map.

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