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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.PR2019
Functional central limit theorems for occupancies and missing mass process in infinite urn models
Mikhail Chebunin, Sergei Zuyev
We study the infinite urn scheme when the balls are sequentially distributed over an infinite number of urns labelled 1,2,... so that the urn at every draw gets a ball with pro…