A note on large deviations for weak records

Statistics and Probability Letters

Volumn 76, Issue 14, 2006, Pages 1449-1453

  Bairamov, Ismihan ^a   Stepanov, Alexei ^b  

^a IZMIR UNIVERSITY OF ECONOMICS   (Turkey)

^b KALININGRAD STATE TECHNICAL UNIVERSITY   (Russian Federation)

Author keywords

Central limit theorem; Large deviations; Weak records

Indexed keywords

EID: 33745184020     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spl.2006.03.003     Document Type: Article

References (16)

1. Aliev F.A. Characterizations of distributions through weak records. J. Appl. Statist. Sci. 8 (1998) 13-16
2. Aliev F.A. New characterization of discrete distributions through weak records. Theory Probab. Appl. 44 (1999) 756-761 (English translation)
3. Arnold B.C., Balakrishnan N., and Nagaraja H.N. Records (1998), Wiley, New York
4. Danielak, K., Dembińska, A., 2006. Some characterizations of discrete distributions based on weak records. Statist. Papers, to appear.
5. Dembińska, A., López-Blázquez, F., 2005. A characterizations of discrete distributions through k-th weak records. Comm. Statist. Theory Methods 34, 2345-2351.
6. Dembińska, A., Stepanov, A., 2006. Limit theorems for the ratio of weak records. Statist. Probab. Lett., in press, doi:10.1016/j.spl.2006.03.004.
7. López-Blázquez F., and Wesołowski J. Discrete distributions for which the regression of the first record on the second is linear. Test 10 (2001) 121-131
8. Nevzorov V.B. Records: Mathematical Theory, Translation of Mathematical Monographs vol. 194 (2001), American Mathematical Society, Providence, Rhode Island
9. Petrov V.V. Asymptotic behaviour of large deviations. Theory Probab. Appl. 13 (1968) 432-444 (English translation)
10. Petrov V.V. Sums of Independent Random Variables (1975), Springer, New York
11. Stepanov A.V. Limit theorems for weak records. Theory Probab. Appl. 37 (1992) 570-574 (English translation)
12. Stepanov A.V. A characterization theorem for weak records. Theory Probab. Appl. 38 (1993) 762-764 (English translation)
13. Stepanov A.V., Balakrishnan N., and Hofmann G. Exact distribution and Fisher information of weak record values. Statist. Probab. Lett. 64 (2003) 69-81
14. Vervaat W. Limit theorems for records from discrete distributions. Stochastic Process. Appl. 1 (1973) 317-334
15. Wesołowski J., and Ahsanullah M. Linearity of regression for non-adjacent weak records. Statistica Sinica 11 1 (2001) 39-52
16. Wesołowski, J., López-Blázquez, F., 2004. Linearity of regression for the past weak and ordinary records. Statistics 38, 457-464.