On the Mathematical Theory of Records-Reference-Cited by-同舟云学术

On the Mathematical Theory of Records

Published:2021-04-30 Issue:1 Volume:29 Page:151-162
ISSN:2336-1298
Container-title:Communications in Mathematics
language:en
Short-container-title:

Author:

Stepanov Alexei¹

Affiliation:

1. Institute of Physics, Mathematics and Information Technology , Immanuel Kant Baltic Federal University , A. Nevskogo 14, Kaliningrad, 236041 Russia

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Reference23 articles.

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2. [2] B.C. Arnold, N. Balakrishnan, H.N. Nagaraja: Records. John Wiley & Sons, New York (1998).

3. [3] I. Bairamov, A. Stepanov: Numbers of near bivariate record-concomitant observations. J. Multivariate Anal. 102 (5) (2011) 908–917.

4. [4] N. Balakrishnan, H.Y. So, X.J. Zhu: On Box–Muller transformation and simulation of normal record data. Comm. Statist. Simulation Comput. 45 (10) (2016) 3670–3682.

5. [5] N. Balakrishnan, A.G. Pakes, A. Stepanov: On the number and sum of near-record observations. Adv. in Appl. Probab. 37 (3) (2005) 765–780.

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