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Volumn 73, Issue 1, 2003, Pages 59-70

Error analysis of some integration procedures for renewal equation and convolution integrals

Author keywords

Convolution; Error analysis; Numerical methods; Renewal function; Riemann Stieltjes integral

Indexed keywords


EID: 0037279970     PISSN: 00949655     EISSN: None     Source Type: Journal    
DOI: 10.1080/00949650215727     Document Type: Article
Times cited : (18)

References (19)
  • 1
    • 0030531110 scopus 로고    scopus 로고
    • On the rate of convergence of the Ross approximation to the renewal function
    • Angus, J. E. and Hong, X. (1996). On the rate of convergence of the Ross approximation to the renewal function. Probability in Engineering and Informational Sciences, 10, 207-211.
    • (1996) Probability in Engineering and Informational Sciences , vol.10 , pp. 207-211
    • Angus, J.E.1    Hong, X.2
  • 5
    • 0013208189 scopus 로고
    • A note on the approximate solution of the Volterra renewal equation using upper and lower approximations
    • Barxanti, L. and Corradi, C. (1994). A note on the approximate solution of the Volterra renewal equation using upper and lower approximations. Journal of Statistical Computation and Simulation, 49, 225-228.
    • (1994) Journal of Statistical Computation and Simulation , vol.49 , pp. 225-228
    • Barxanti, L.1    Corradi, C.2
  • 7
    • 0029408896 scopus 로고
    • On computations of the mean and variance of the number of renewals-a unified approach
    • Chaudhry, M. L. (1995). On computations of the mean and variance of the number of renewals-a unified approach. Journal of the Operations Research Society, 46, 1352-1364.
    • (1995) Journal of the Operations Research Society , vol.46 , pp. 1352-1364
    • Chaudhry, M.L.1
  • 10
    • 0013274549 scopus 로고
    • Solution of the Volterra equation of renewal theory with the Galerkin technique using cubic splines
    • Deligonut, Z. S. and Bilgen, S. (1984). Solution of the Volterra equation of renewal theory with the Galerkin technique using cubic splines. Journal of Statistical Computation and Simulation, 20, 37-45.
    • (1984) Journal of Statistical Computation and Simulation , vol.20 , pp. 37-45
    • Deligonut, Z.S.1    Bilgen, S.2
  • 13
    • 84948501848 scopus 로고
    • Numerical treatment of convolution integrals invoving distributions with densities having singularities at the origin
    • McConalogue, D. J. (1981). Numerical treatment of convolution integrals invoving distributions with densities having singularities at the origin. Communications in Statistics-B: Simulation and Computation, 10, 265-280.
    • (1981) Communications in Statistics-B: Simulation and Computation , vol.10 , pp. 265-280
    • McConalogue, D.J.1
  • 14
    • 0032243984 scopus 로고    scopus 로고
    • A bound for the renewal function of a process driven by a non-monotonic life distribution function
    • Mitra, M. and Basu, S. K. (1998). A bound for the renewal function of a process driven by a non-monotonic life distribution function. Statistics, 31, 339-345.
    • (1998) Statistics , vol.31 , pp. 339-345
    • Mitra, M.1    Basu, S.K.2
  • 19
    • 0013208568 scopus 로고
    • A simple numerical procedure for solving Volterra-Stieltjes integral equations
    • Sofia
    • Preuss, W. and van der Wall, V. (1989). A simple numerical procedure for solving Volterra-Stieltjes integral equations. Proceedings of the Conference on Complex Analysis. Sofia, pp. 424-430.
    • (1989) Proceedings of the Conference on Complex Analysis , pp. 424-430
    • Preuss, W.1    Van der Wall, V.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.