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math.ST2019★ 1 cited
A statistical test for correspondence of texts to the Zipf-Mandelbrot law
Anik Chakrabarty, Mikhail Chebunin, Artyom Kovalevskii +3
We analyse correspondence of a text to a simple probabilistic model. The model assumes that the words are selected independently from an infinite dictionary. The probability distri…
math.ST2019
Asymptotics of an empirical bridge of regression on induced order statistics
Artyom Kovalevskii
We propose a class of tests for linear regression on concomitants (induced order statistics). These tests are based on sequential sums of regression residuals. We self-center and s…