New U-empirical tests of symmetry based on extremal order statistics, and their efficiencies

Ahsanullah M.; Nikitin Yakov Yurievich

doi:10.1007/978-3-319-12442-1_13

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15 January 2021

This Is Robot Speaking: A Social Scientist’s Perspective on Human-Robot Interaction

Whether we like it or not, talking with a robot on the phone is now part of our everyday lives. What is the right way to respond to a mechanical voice, who should we blame when communication fails, and could AI make an ideal conversationalist? HSE sociologist Alisa Maksimova answers these questions and more, based on findings from her study of interactions between humans and robots presented in the book Adventures in Technology: Barriers to Digitalisation in Russia.

14 January 2021

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14 January 2021

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Book chapter

New U-empirical tests of symmetry based on extremal order statistics, and their efficiencies

P. 231-248.

Ahsanullah M., Nikitin Y. Y.

We use a characterization of symmetry via order statistics to establish two new tests of symmetry which have U-empirical nature.

Limiting distributions and large deviations of new statistics are found, and local Bahadur efficiency is calculated.

Language: English

Full text (PDF, 343 Kb)

DOI

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Keywords: Test of symmetry, U-statistic, Bahadur efficiency

In book

New U-empirical tests of symmetry based on extremal order statistics, and their efficiencies

Mathematical Statistics and Limit Theorems. Festschrift in Honour of Paul Deheuvels. M. Hallin, D. Mason, D. Pfeifer, J. Steinebach (Eds.)

Nikitin Ya. Yu., Ahsanullah M. Heidelberg; NY; Dordrecht; L.: Springer, 2015.