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Volumn 63, Issue 3, 2003, Pages 229-237

Limit theorems for the number and sum of near-maxima for medium tails

Author keywords

Exponential distribution; Medium tail; Near maxima; Thick tail

Indexed keywords


EID: 0037905655     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-7152(03)00085-3     Document Type: Article
Times cited : (19)

References (9)
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    • Chow Y.S. Lai T.L. Limiting behavior of weighted sums of independent random variables Ann. Probab. 1 5 1973 810-824
    • (1973) Ann. Probab. , vol.1 , Issue.5 , pp. 810-824
    • Chow, Y.S.1    Lai, T.L.2
  • 4
    • 0032024909 scopus 로고    scopus 로고
    • On the rate of growth of the overshoot and the maximum partial sum
    • Griffen P.S. Maller R.A. On the rate of growth of the overshoot and the maximum partial sum Adv. in Appl. Probab. 30 1998 181-196
    • (1998) Adv. in Appl. Probab. , vol.30 , pp. 181-196
    • Griffen, P.S.1    Maller, R.A.2
  • 5
    • 0038673226 scopus 로고    scopus 로고
    • A note on the number of records near the maximum
    • Li Y. A note on the number of records near the maximum Statist. Probab. Lett. 43 1999 153-158
    • (1999) Statist. Probab. Lett. , vol.43 , pp. 153-158
    • Li, Y.1
  • 6
    • 0034430086 scopus 로고    scopus 로고
    • The number and sum of near-maxima for thin-tailed populations
    • Pakes A.G. The number and sum of near-maxima for thin-tailed populations Adv. in Appl. Probab. 32 2000 1100-1116
    • (2000) Adv. in Appl. Probab. , vol.32 , pp. 1100-1116
    • Pakes, A.G.1
  • 7
    • 0032533048 scopus 로고    scopus 로고
    • Limit laws for the number of near maxima via the Poisson approximation
    • Pakes A.G. Li Y. Limit laws for the number of near maxima via the Poisson approximation Statist. Probab. Lett. 40 1998 395-401
    • (1998) Statist. Probab. Lett. , vol.40 , pp. 395-401
    • Pakes, A.G.1    Li, Y.2
  • 8
    • 0009975521 scopus 로고    scopus 로고
    • On the number of records near the maximum
    • Pakes A.G. Steutel F.W. On the number of records near the maximum Austral. J. Statist. 39 2 1997 179-192
    • (1997) Austral. J. Statist. , vol.39 , Issue.2 , pp. 179-192
    • Pakes, A.G.1    Steutel, F.W.2
  • 9
    • 0001738414 scopus 로고
    • The contribution to the sum of the summand of maximum modulus
    • Pruitt W.E. The contribution to the sum of the summand of maximum modulus Ann. Probab. 15 1987 885-896
    • (1987) Ann. Probab. , vol.15 , pp. 885-896
    • Pruitt, W.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.