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References (23)
-
V. Nevzorov, A. Stepanov (2014)
Records with confirmationStatistics & Probability Letters, 95
-
Sociological Bulletin, R. Jain (1973)
RecordsSociological Bulletin, 60
-
(2002)
The neighbourhood of the bivariate maxima: with application to insurance -
A. Pakhteev, A. Stepanov (2016)
Simulation of Gamma recordsStatistics & Probability Letters, 119
-
N. Balakrishnan, A. Pakes, A. Stepanov (2005)
On the number and sum of near-record observationsAdvances in Applied Probability, 37
-
A. Stepanov (2019)
On simulation of weak recordsCommunications in Statistics - Simulation and Computation, 48
-
E. Hashorva, J. Hüsler (2005)
Estimation of Tails and Related Quantities Using the Number of Near-ExtremesCommunications in Statistics - Theory and Methods, 34
-
V. Nevzorov (2000)
Records: Mathematical Theory -
A. Pakhteev, A. Stepanov (2018)
Generation of large sequences of normal record values and maxima -
I. Bayramoglu, A. Stepanov (2011)
Numbers of near bivariate record-concomitant observationsJ. Multivar. Anal., 102
-
(1962)
Translation of On the outliers of a series of observations (Hungarian) -
A. Pakhteev, A. Stepanov (2019)
On simulation of normal recordsCommunications in Statistics - Simulation and Computation, 48
-
R. Shorrock (1972)
On record values and record timesJournal of Applied Probability, 9
-
K. Chandler (1952)
THE DISTRIBUTION AND FREQUENCY OF RECORD VALUESJournal of the royal statistical society series b-methodological, 14
-
W. Vervaat (1973)
Limit theorems for records from discrete distributionsStochastic Processes and their Applications, 1
-
A. Pakhteev, A. Stepanov (2019)
Discrete records: Limit theorems for their spacings and generation methodsStatistics & Probability Letters
-
N. Balakrishnan, H. So, Xiaojun Zhu (2016)
On Box–Muller Transformation and Simulation of Normal Record DataCommunications in Statistics - Simulation and Computation, 45
-
A. Stepanov, A. Berred, V. Nevzorov (2016)
Concomitants of records: Limit results, generation techniques, correlationStatistics & Probability Letters, 109
-
F. Foster, D. Teichroew (1955)
A Sampling Experiment on the Powers of the Records Tests for Trend in a Time SeriesJournal of the royal statistical society series b-methodological, 17
-
M. Ahsanullah, V. Nevzorov (2015)
Records via Probability Theory -
F. Foster, A. Stuart (1954)
Distribution‐Free Tests in Time‐Series Based on the Breaking of Records Division of Research Techniques, London School of EconomicsJournal of the royal statistical society series b-methodological, 16
-
E. Hashorva (2003)
On the number of near-maximum insurance claim under dependenceInsurance Mathematics & Economics, 32
-
M. Tata (1969)
On outstanding values in a sequence of random variablesZeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete, 12
- Publisher
- de Gruyter
- Copyright
- © 2021 Alexei Stepanov, published by Sciendo
- eISSN
- 2336-1298
- DOI
- 10.2478/cm-2021-0009
- Publisher site
- See Article on Publisher Site
Abstract
AbstractIn 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.
Journal
Communications in Mathematics – de Gruyter
Published: Jun 1, 2021
Keywords: Record times and values; distributional and limit results; inverse-transform and rejection methods; generation techniques; statistical tests; 60G70; 62G30