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math.PR2021
A Note on the Borel-Cantelli Lemma
Narayanaswamy Balakrishnan, Alexei Stepanov
In this short note, we discuss the Barndorff-Nielsen lemma, which is a generalization of well-known Borel-Cantelli lemma. Although the result stated in the Barndorff-Nielsen lemma…
math.PR2021
On Tsallis extropy with an application to pattern recognition
Narayanaswamy Balakrishnan, Francesco Buono, Maria Longobardi
Recently, a new measure of information called extropy has been introduced by Lad, Sanfilippo and Agrò as the dual version of Shannon entropy. In the literature, Tsallis introduced…