On the Mathematical Theory of Records

Alexei Stepanov

Communications in Mathematics (2021)

  • Issue: 1, page 151-162
  • ISSN: 1804-1388

Abstract

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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.

How to cite

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Stepanov, Alexei. "On the Mathematical Theory of Records." Communications in Mathematics (2021): 151-162. <http://eudml.org/doc/297565>.

@article{Stepanov2021,
abstract = {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.},
author = {Stepanov, Alexei},
journal = {Communications in Mathematics},
keywords = {Record times and values; distributional and limit results; inverse-transform and rejection methods; generation techniques; statistical tests},
language = {eng},
number = {1},
pages = {151-162},
publisher = {University of Ostrava},
title = {On the Mathematical Theory of Records},
url = {http://eudml.org/doc/297565},
year = {2021},
}

TY - JOUR
AU - Stepanov, Alexei
TI - On the Mathematical Theory of Records
JO - Communications in Mathematics
PY - 2021
PB - University of Ostrava
IS - 1
SP - 151
EP - 162
AB - 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.
LA - eng
KW - Record times and values; distributional and limit results; inverse-transform and rejection methods; generation techniques; statistical tests
UR - http://eudml.org/doc/297565
ER -

References

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