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On the Chvátal–Janson conjecture by Lucio Barabesi; Luca Pratelli; Pietro Rigo is a Mathematics article available to read on EtoBox.

What is On the Chvátal–Janson conjecture about?

Let q m = P ( X ≤ m ) , where m is a positive integer and X a binomial random variable with parameters n and m / n . Vašek Chvátal conjectured that, for fixed n ≥ 2 , q m attains its minimum when m is the integer closest to 2 n / 3 . As shown by Svante Janson, this conjecture is true for large n . Here, we prove that the conjecture is actually true for every n ≥ 2 .

Who reads On the Chvátal–Janson conjecture?

Author

Lucio Barabesi; Luca Pratelli; Pietro Rigo

Publisher

Elsevier BV

Published

2023

Language

EN

Field

Mathematics (Physical Sciences)