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Volumn 11, Issue 4, 2008, Pages 379-391

From light tails to heavy tails through multiplier

Author keywords

Asymptotics; Convolution; Discontinuity; Multiplier; Product; The classes ( ) and S( ); Upper endpoint

Indexed keywords


EID: 55849148492     PISSN: 13861999     EISSN: 1572915X     Source Type: Journal    
DOI: 10.1007/s10687-008-0063-5     Document Type: Article
Times cited : (45)

References (20)
  • 1
    • 38849104994 scopus 로고    scopus 로고
    • Asymptotic expansions for infinite weighted convolutions of rapidly varying subexponential distributions
    • 1-2
    • Ph. Barbe W.P. [tmp] McCormick 2008 Asymptotic expansions for infinite weighted convolutions of rapidly varying subexponential distributions Probab. Theory Relat. Fields 141 1-2 155 180
    • (2008) Probab. Theory Relat. Fields , vol.141 , pp. 155-180
    • Barbe, Ph.1    McCormick, W.P.2
  • 2
    • 0000708942 scopus 로고
    • A theorem on sums of independent positive random variables and its applications to branching random processes
    • V.P. Chistyakov 1964 A theorem on sums of independent positive random variables and its applications to branching random processes Theory Probab. Appl. 9 640 648
    • (1964) Theory Probab. Appl. , vol.9 , pp. 640-648
    • Chistyakov, V.P.1
  • 3
  • 4
    • 0001432293 scopus 로고
    • Degeneracy properties of subcritical branching processes
    • J. Chover P. Ney S. Wainger 1973 Degeneracy properties of subcritical branching processes Ann. Probab. 1 663 673
    • (1973) Ann. Probab. , vol.1 , pp. 663-673
    • Chover, J.1    Ney, P.2    Wainger, S.3
  • 5
    • 0001459863 scopus 로고
    • Convolution tails, product tails and domains of attraction
    • 4
    • D.B.H. Cline 1986 Convolution tails, product tails and domains of attraction Probab. Theory Relat. Fields 72 4 529 557
    • (1986) Probab. Theory Relat. Fields , vol.72 , pp. 529-557
    • Cline, D.B.H.1
  • 6
    • 0009231016 scopus 로고
    • Subexponentiality of the product of independent random variables
    • 1
    • D.B.H. Cline G. Samorodnitsky 1994 Subexponentiality of the product of independent random variables Stoch. Process. Their Appl. 49 1 75 98
    • (1994) Stoch. Process. Their Appl. , vol.49 , pp. 75-98
    • Cline, D.B.H.1    Samorodnitsky, G.2
  • 7
    • 84971815025 scopus 로고
    • On closure and factorization properties of subexponential and related distributions
    • 2
    • P. Embrechts C.M. Goldie 1980 On closure and factorization properties of subexponential and related distributions J. Aust. Math. Soc. Ser. A 29 2 243 256
    • (1980) J. Aust. Math. Soc. Ser. A , vol.29 , pp. 243-256
    • Embrechts, P.1    Goldie, C.M.2
  • 8
    • 0039840300 scopus 로고    scopus 로고
    • Optimal portfolios with bounded capital at risk
    • 4
    • S. Emmer C. Klüppelberg R. Korn 2001 Optimal portfolios with bounded capital at risk Math. Financ. 11 4 365 384
    • (2001) Math. Financ. , vol.11 , pp. 365-384
    • Emmer, S.1    Klüppelberg, C.2    Korn, R.3
  • 9
    • 34548048451 scopus 로고    scopus 로고
    • Lower limits and equivalences for convolution tails
    • 1
    • S. Foss D. Korshunov 2007 Lower limits and equivalences for convolution tails Ann. Probab. 35 1 366 383
    • (2007) Ann. Probab. , vol.35 , pp. 366-383
    • Foss, S.1    Korshunov, D.2
  • 10
    • 21244499722 scopus 로고    scopus 로고
    • Extremes of asymptotically spherical and elliptical random vectors
    • 3
    • E. Hashorva 2005 Extremes of asymptotically spherical and elliptical random vectors Insur. Math. Econ. 36 3 285 302
    • (2005) Insur. Math. Econ. , vol.36 , pp. 285-302
    • Hashorva, E.1
  • 11
    • 0036183827 scopus 로고    scopus 로고
    • Power tailed ruin probabilities in the presence of risky investments
    • 2
    • V. Kalashnikov R. Norberg 2002 Power tailed ruin probabilities in the presence of risky investments Stoch. Process. Their Appl. 98 2 211 228
    • (2002) Stoch. Process. Their Appl. , vol.98 , pp. 211-228
    • Kalashnikov, V.1    Norberg, R.2
  • 12
    • 40949103527 scopus 로고    scopus 로고
    • Integrated insurance risk models with exponential Lévy investment
    • 2
    • C. Klüppelberg R. Kostadinova 2008 Integrated insurance risk models with exponential Lévy investment Insur. Math. Econ. 42 2 560 577
    • (2008) Insur. Math. Econ. , vol.42 , pp. 560-577
    • Klüppelberg, C.1    Kostadinova, R.2
  • 13
    • 0033147512 scopus 로고    scopus 로고
    • Ruin problems with assets and liabilities of diffusion type
    • 2
    • R. Norberg 1999 Ruin problems with assets and liabilities of diffusion type Stoch. Process. Their Appl. 81 2 255 269
    • (1999) Stoch. Process. Their Appl. , vol.81 , pp. 255-269
    • Norberg, R.1
  • 14
    • 3242798923 scopus 로고    scopus 로고
    • Convolution equivalence and infinite divisibility
    • 2
    • A.G. Pakes 2004 Convolution equivalence and infinite divisibility J. Appl. Probab. 41 2 407 424
    • (2004) J. Appl. Probab. , vol.41 , pp. 407-424
    • Pakes, A.G.1
  • 15
    • 33750975966 scopus 로고    scopus 로고
    • Infinite divisibility and generalized subexponentiality
    • 3
    • T. Shimura T. Watanabe 2005 Infinite divisibility and generalized subexponentiality Bernoulli 11 3 445 469
    • (2005) Bernoulli , vol.11 , pp. 445-469
    • Shimura, T.1    Watanabe, T.2
  • 16
    • 33645645125 scopus 로고    scopus 로고
    • On the behavior of the product of independent random variables
    • 3
    • C. Su Y. Chen 2006 On the behavior of the product of independent random variables Sci. China Ser. A 49 3 342 359
    • (2006) Sci. China Ser. A , vol.49 , pp. 342-359
    • Su, C.1    Chen, Y.2
  • 17
    • 33750990844 scopus 로고    scopus 로고
    • On convolution equivalence with applications
    • 3
    • Q. Tang 2006 On convolution equivalence with applications Bernoulli 12 3 535 549
    • (2006) Bernoulli , vol.12 , pp. 535-549
    • Tang, Q.1
  • 18
    • 34147155750 scopus 로고    scopus 로고
    • The subexponentiality of products revisited
    • 3-4
    • Q. Tang 2006 The subexponentiality of products revisited Extremes 9 3-4 231 241
    • (2006) Extremes , vol.9 , pp. 231-241
    • Tang, Q.1
  • 19
    • 0142056077 scopus 로고    scopus 로고
    • Precise estimates for the ruin probability in finite horizon in a discrete-time model with heavy-tailed insurance and financial risks
    • 2
    • Q. Tang G. Tsitsiashvili 2003 Precise estimates for the ruin probability in finite horizon in a discrete-time model with heavy-tailed insurance and financial risks Stoch. Process. Their Appl. 108 2 299 325
    • (2003) Stoch. Process. Their Appl. , vol.108 , pp. 299-325
    • Tang, Q.1    Tsitsiashvili, G.2
  • 20
    • 13344261375 scopus 로고    scopus 로고
    • Finite- and infinite-time ruin probabilities in the presence of stochastic returns on investments
    • 4
    • Q. Tang G. Tsitsiashvili 2004 Finite- and infinite-time ruin probabilities in the presence of stochastic returns on investments Adv. Appl. Probab. 36 4 1278 1299
    • (2004) Adv. Appl. Probab. , vol.36 , pp. 1278-1299
    • Tang, Q.1    Tsitsiashvili, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.