1 citations · 1 across the 5 of their papers we have counts for
4 papers · 1 filter
Asymptotics of sums of regression residuals under multiple ordering of regressors
Mikhail Chebunin, Artyom Kovalevskii
We prove theorems about the Gaussian asymptotics of an empirical bridge built from linear model regressors with multiple regressor ordering. We study the testing of the hypothesis…
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…
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…
Asymptotically normal estimators for Zipf's law
Mikhail Chebunin, Artyom Kovalevskii
Zipf's law states that sequential frequencies of words in a text correspond to a power function. Its probabilistic model is an infinite urn scheme with asymptotically power distrib…