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Volumn 24, Issue 1, 1997, Pages 9-27

The Weibull renewal function for moderate to large arguments

Author keywords

Asymptotic expansions; Faxen's integral; Laplace transform; Renewal function; Weibull distribution; Zero calculations

Indexed keywords

ASYMPTOTIC EXPANSION; EXPONENTIAL SERIES; FAXEN INTEGRAL; RENEWAL FUNCTION; SHAPE PARAMETER;

EID: 0031555843     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-9473(96)00052-7     Document Type: Article
Times cited : (26)

References (23)
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  • 9
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    • On the integral equation of renewal theory
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    • Feller, W.1
  • 10
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    • Finding zeros of arbitrary functions
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    • Frank, W.L.1
  • 11
    • 0000610114 scopus 로고
    • Asymptotic analysis of coefficients
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    • Gaunt, D.S. and A.J. Guttmann, Asymptotic analysis of coefficients, in: C. Domb and M.S. Green (Eds.), Phase Transitions and Critical Phenomena, Vol. 3 (Academic Press, New York, 1974) 181-243.
    • (1974) Phase Transitions and Critical Phenomena , vol.3 , pp. 181-243
    • Gaunt, D.S.1    Guttmann, A.J.2
  • 12
    • 0040419559 scopus 로고
    • Some problems of 'partitio numerorum'; I: A new solution of Waring's problem
    • Hardy, G.H. and J.E. Littlewood, Some problems of 'Partitio Numerorum'; I: a new solution of Waring's problem, Gottinger Nachricten, Math. Phys. Klasse (1920) 33-54. (Included in: Collected Papers of G.H. Hardy, Vol. 1 (Oxford University Press, Oxford, 1966) 405-426.)
    • (1920) Gottinger Nachricten, Math. Phys. Klasse , pp. 33-54
    • Hardy, G.H.1    Littlewood, J.E.2
  • 13
    • 0042658123 scopus 로고
    • Oxford University Press, Oxford
    • Hardy, G.H. and J.E. Littlewood, Some problems of 'Partitio Numerorum'; I: a new solution of Waring's problem, Gottinger Nachricten, Math. Phys. Klasse (1920) 33-54. (Included in: Collected Papers of G.H. Hardy, Vol. 1 (Oxford University Press, Oxford, 1966) 405-426.)
    • (1966) Collected Papers of G.H. Hardy , vol.1 , pp. 405-426
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    • 84968487034 scopus 로고
    • A method for solving algebraic equations using an automatic computer
    • Muller, D.E., A method for solving algebraic equations using an automatic computer, Math. Tables Aids Comput, 10 (1956) 208-215.
    • (1956) Math. Tables Aids Comput , vol.10 , pp. 208-215
    • Muller, D.E.1
  • 20
    • 34547328276 scopus 로고
    • On the renewal function for the Weibull distribution
    • Smith, W.L. and M.R. Leadbetter, On the renewal function for the Weibull distribution, Technometrics, 5 (1963) 393-396.
    • (1963) Technometrics , vol.5 , pp. 393-396
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  • 21
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    • Renewal functions for gamma and Weibull distributions with increasing hazard rate
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    • Soland, R.M., Renewal functions for gamma and Weibull distributions with increasing hazard rate, Technical Paper RAC-TP-329 (Research Analysis Corporation, McLean, VA, 1968).
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    • Soland, R.M.1
  • 22
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    • A simple approximation for IFR renewal functions
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  • 23
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.