Physics, mathematics, and technology

2016 Issue №3

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Generation of records by means of the rejection method



Methods of record generation are discussed. The corresponding algorithms are based on the rejection method. We concentrate on a case when records are taken from a gamma population.


1. Невзоров В. Б. Рекорды. Математическая теория. М., 2000.
2. Arnold B. C., Balakrishnan N., Nagaraja H. N. Records. John Wiley & Sons. N. Y., 1998.
3. Bairamov I., Stepanov A. Numbers of near bivariate record-concomitant observations // Journal of Multivariate Analysis. 2011. № 102. P. 908—917.
4. Balakrishnan N., So H. Y., Zhu X. J. On Box-Muller Transformation and Simulation of Normal Record Data // Communication in Statistics-Simulation and Computations. 016 (в печати).
5. Chandler K. N. The distribution and frequency of record values // J. Royal Statist. Soc. 1952. Ser. B, 14. P. 220—228.
6. Luckett D. J. Statistical Inference Based on Upper Record Values. PhD thesis. The College of William and Mary, 2013.
7. Nevzorov V. B., Stepanov A. Records with confirmation // Statistics & Probability Letters. 2014. № 95. P. 39—47.
8. Ross S. M. Simulation. Elsevier, 2006.
9. Stepanov A., Berred A., Nevzorov V. B. Concomitants of records: Limit results, generation techniques, correlation // Statistics&Probability Letters. 2016. № 109. P. 184—188.