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Communications in Statistics - Simulation and Computation Volume 45, 2016 - Issue 5
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7th International Workshop on Simulation

On Some New Record Schemes

M. AhsanullahDepartment of Management Science, Rider University, Lawrenceville, New Jersey, USA
&
Prof. V. B. NevzorovFaculty of Mathematics and Mechanics, St. Petersburg State University, St. Petersburg, RussiaCorrespondence[email protected]
Pages 1467-1476 | Received 30 Jan 2014, Accepted 10 Apr 2014, Published online: 10 Sep 2014

References

  • Ahsanullah, M. (1995). Record Statistics. New York: Nova Science Publishers.
  • Ahsanullah, M., Nevzorov, V.B. (2001). Ordered Random Variables. New York: Nova Science Publishers.
  • Ahsanullah, M., Nevzorov, V.B. (2011). Record statistics. International Encyclopedia of Statistical Science, part 18:1195–1202.
  • Ahsanullah, M., Yanev, G.P. (eds) (2008). Records and Branching Processes. New York: Nova Science Publishers.
  • Arnold, B.C., Balakrishnan, N., Nagaraja H.N. (1997). Records. New York: Wiley.
  • Balakishnan, N., Balasubramanian, K., Panchapakesan, S. (1996). δ-exceedance records. J.Appl.Statist. Science 4(2–3):123–132.
  • Balakrishnan, N., Nevzorov, V.B. (2006). Record Values and Record Statistics. Encyclopedia of Statistical Sciences. 2nd ed. New York: Wiley- Interscience, . v.10: 6995-7006.
  • Chandler, K.N. (1952). The distribution and frequency of record values. J.Royal Statist. Soc. B 14:220–228.
  • Deheuvels, P., Nevzorov, V.B. (1993). Records in Fα-scheme I. Martingale properties. Notes of Sci Seminars of POMI 207: 19-36 (in Russian). English version: Journal of Mathematical Sciences 81(1996):2368–2378.
  • Deheuvels, P., Nevzorov, V.B. (1994). Records in Fα-scheme II. Limit theorems. Notes of Sci Seminars of POMI 216: 42-51 (in Russian). English version: Journal of Mathematical Sciences 88(1998):29–35.
  • Nevzorov, V.B. (1987). Records. Theory Probability and Its Applications 32(2):219–251 (in Russian).
  • Nevzorov, V.B. (2000). Records. Mathematical Theory. Moscow: Phasis (in Russian).
  • Nevzorov, V.B. (2001). Records. Mathematical Theory. Providence, RI: American Mathematical Society.
  • Nevzorov, V.B., Saghatelyan, V. (2009). On one new model of records. Proceedings of the Sixth St-Petersburg Workshop on Simulation 2:981–984.
  • Sagateljan, V.K. (2008). On one new model of record values. St. Petersburg: Vestnik of St-Petersburg University, Ser.1, n.3: 144-147 (in Russian).
  • Yang, M.C. K. (1975). On the distribution of the inter-record times in an increasing population. Journal of Applied Probability 12(1):148–154.

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