Dispersion of the test statistic of round-trip criteria Foster—Stuart

Authors

  • Valery A. Chepurko Obninsk Institute for Nuclear Power Engineering, department of ACS, Studgorodok, 1, Obninsk, Kaluzhskaya obl., 249040, Russian Federation;

DOI:

https://doi.org/10.21638/11701/spbu01.2016.209

Abstract

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References

Литература

1. Foster F.G., Stuart A. Distribution-free tests in timeseries dated on the breaking of records // J. Roy. Stat. Soc. 1954. Vol. B16, N 1. P. 1-22.

2. Кобзарь А.И. Прикладная математическая статистика. Для инженеров и научных работников. М.: ФИЗМАТЛИТ, 2006. 816 с.

3. Кендалл М., Стьюарт А. Статистические выводы и связи. М.: Наука, 1973. 900 с.

4. Chandler K.N. The distribution and frequency of record values // J. Roy. Statist. Soc., ser. B. 1952. Vol. 14. P. 220-228.

5. Невзоров В.Б. Рекорды // Теория вероятностей и ее применения. 1987. Т. 32, № 2. С. 219-251.

6. Невзоров В.Б. Рекорды: Математическая теория. М.: ФАЗИС, 2000. 244 с. (Стохастика; Вып. 4).

7. Градштейн И.С., Рыжик И.М. Таблицы интегралов, сумм, рядов и произведений. М.: Физматгиз, 1963. 1100 с.

8. Большев Л.Н., Смирнов Н.В. Таблицы математической статистики. М.: Наука, 1983. 416 с.

References

1. Foster F.G., Stuart A., “Distribution-free tests in timeseries dated on the breaking of records”, J. Roy. Stat. Soc. B16(1), 1–22 (1954).

2. Kobzar A. I., Applied Mathematical Statistics. For engineers and scientists (FIZMATLIT, Moscow, 2006, 816 p.) [In Russian].

3. Kendall M., Stuart A., Statistical inference and connections (Nauka, Moscow, 1973, 900 p.) [In Russian].

4. Chandler K.N., “The distribution and frequency of record values”, J. Roy. Statist. Soc., ser. B 14, 220–228 (1952).

5. Nevzorov V.B., “Rekords”, Theory Probab. Appl. 32(2), 201–228 (1987).

6. Nevzorov V.B., Rekords: Mathematical theory (FAZIS, Moscow, 2000, 244 p., Stohastika; Iss. 4) [In Russian].

7. Gradshtein I. S., Ryzhik I.M., Tables of integrals, sums, series and products (Fizmatgiz, Moscow, 1963, 1100 p.) [In Russian].

8. Bol’shev L.N., Smirnov N.V., Tables of mathematical statistiks (Nauka, Moscow, 1983, 416 p.) [In Russian].

Published

2020-10-19

How to Cite

Chepurko, V. A. (2020). Dispersion of the test statistic of round-trip criteria Foster—Stuart. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 3(2), 1. https://doi.org/10.21638/11701/spbu01.2016.209

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Section

Mathematics