1 citations · 2 across the 9 of their papers we have counts for
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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…
Modifications of Simon text model
Mikhail Chebunin, Artyom Kovalevskii
We discuss probability text models and their modifications. We construct processes of different and unique words in a text. The models are to correspond to the real text statistics…
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…
A statistical test for the Zipf's law by deviations from the Heaps' law
Mikhail Chebunin, Artyom Kovalevskii
We explore a probabilistic model of an artistic text: words of the text are chosen independently of each other in accordance with a discrete probability distribution on an infinite…
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…