References
- Baxter , L. A. ( 1981 ). Some remarks on numerical convolution . Commun. Statist. Simul. Computat. 10 : 281 – 288 . [CSA]
- Brown , M. , Solomon , H. , Stevens , M. A. ( 1981 ). Monte Carlo simulation of the renewal function . J. Appl. Probab. 13 : 426 – 434 . [CSA]
- Cleroux , R. , McConalogue , D. J. ( 1976 ). A numerical algorithm for recursively-defined convolution integrals involving distribution functions . Management Sci. 22 : 1138 – 1146 . [CSA]
- Crump , K. S. (1976). Numerical inversion of Laplace transforms using a Fourier series approximation. J. Assoc. Comp. Machinery 23:89–96. [CSA]
- Cui , L. , Xie , M. ( 2003 ). Some normal approximations for renewal function of large Weibull shape parameter . Commun. Statist. Simul. Computat. 32 ( 1 ): 17 – 30 . [CSA] [CROSSREF]
- Frees , E. W. ( 1986 ). Warranty analysis and renewal function estimation . Nav. Res. Logist. Q 33 : 361 – 372 . [CSA]
- From , S. G. , Li , L. ( 2003 ). Nonparametric estimation of some quantities of interest from renewal theory . Nav. Res. Logist. 50 : 638 – 649 . [CSA] [CROSSREF]
- Gertsbakh , I. , Shpungin , Y. ( 2004 ). Renewal function and interval availability: a numerical Monte-Carlo study . Commun. Statist. Theor. Meth. 33 ( 3 ): 639 – 649 . [CSA] [CROSSREF]
- Grimmett , G. R. , Stirzaker , D. R. ( 1992 ) . Probability and Random Processes . New York : Oxford University Press Inc.
- Grundy , R. E. ( 1977 ). Laplace transform inversion using two-point rational approximants . J. Inst. Math. Appl. 20 : 299 – 306 . [CSA]
- Juran , J. , Gryna , F. ( 1970 ) . Quality Planning and Analysis . New York : McGraw-Hill .
- McConalogue , D. J. ( 1981 ). Numerical treatment of convolution integrals involving distributions with densities having singularities at the origin . Commun. Statist. Simul. Computat. 10 : 265 – 280 . [CSA]
- Pagano , M. , Tritchler , D. ( 1983 ). On obtaining permutation distributions in polynomial time . J. Amer. Statist. Assoc. 78 : 435 – 440 . [CSA]
- Schneider , H. , Lin , B. S. , O'Cinneide , C. ( 1990 ). Comparison of nonparametric estimators for the renewal function . J. Roy. Statist. Soc. Ser. C 39 : 55 – 61 . [CSA]
- Serfling , R. ( 1980 ) . Approximation Theorems of Mathematical Statistics . New York : Wiley .
- Xie , M. ( 1989 ). On the solution of renewal-type integral equations . Commun. Statist. Simul. Computat. 18 ( 1 ): 281 – 293 . [CSA]