Geodesic
On the Mathematical Theory of Records
Communications in Mathematics, Tome 29 (2021) no. 1, pp. 151-162

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

In the present work, we briefly analyze the development of the mathematical theory of records. We first consider applications associated with records. We then view distributional and limit results for record values and times. We further present methods of generation of continuous records. In the end of this work, we discuss some tests based on records.
Classification : 60G70, 62G30
Keywords: Record times and values; distributional and limit results; inverse-transform and rejection methods; generation techniques; statistical tests. 
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Stepanov, Alexei. On the Mathematical Theory of Records. Communications in Mathematics, Tome 29 (2021) no. 1, pp. 151-162. http://geodesic.mathdoc.fr/item/COMIM_2021__29_1_a8/