Asymptotic properties of the ratio of order statistics

Statistics and Probability Letters

Volumn 78, Issue 3, 2008, Pages 301-310

  Balakrishnan, N ^a   Stepanov, A ^b  

^a MCMASTER UNIVERSITY   (Canada)

^b KALININGRAD STATE TECHNICAL UNIVERSITY   (Russian Federation)

Author keywords

Limit laws; Order statistics; Ratio of order statistics; Theory of regular variation

Indexed keywords

EID: 38149101659     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spl.2007.08.001     Document Type: Article

References (9)

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2. Balakrishnan N., Pakes A., and Stepanov A. On the number and sum of near record value observations. Adv. Appl. Probab. 37 (2005) 1-16
3. Bingham N.H., Goldie C., and Teugels J.F. Regular Variation (1987), Cambridge University Press, Cambridge, England
4. David, H.A., Nagaraja, H.N., 2003. Order Statistics, third ed. Wiley, Hoboken, NJ.
5. Dembinska A., and Stepanov A. Limit theorems for the ratio of weak records. Statist. Probab. Lett. 76 (2006) 1454-1464
6. Dembinska A., Stepanov A., and Wesolowski J. How many observations fall in a neighbourhood of an order statistic. Commun. Statis. Theory Methods 36 (2007) 851-867
7. Johnson, N.L., Kotz, S., Balakrishnan, N., 1994. Continuous Univariate Distributions, vol. 1, second ed. Wiley, New York.
8. Nevzorov, V.B., 2001. Records: Mathematical Theory, Translation of Mathematical Monographs, vol. 194. American Mathematical Society, Providence, RI.
9. Shorrock R.W. On record values and record times. J. Appl. Probab. 9 (1972) 316-326