Some new approximations for the renewal function

Communications in Statistics Part B: Simulation and Computation

Volumn 30, Issue 1, 2001, Pages 113-128

  From, Steven G ^a  

^a UNIVERSITY OF NEBRASKA AT OMAHA   (United States)

Author keywords

Rational function; Renewal function; Switchover point; Truncated normal distribution; Unimodal function; Weibull distribution

Indexed keywords

EID: 33749150607     PISSN: 03610918     EISSN: None     Source Type: Journal    
DOI: 10.1081/SAC-100001862     Document Type: Article

References (10)

1. Blackwell, D.A. Renewal Theorem. Duke Math J. 1948, 75,145-150.
2. Smith, W.L. Renewal Theory and its Ramifications. J. Roy. Statist. Soc. Ser. B 1958,20,243-320.
3. Cox, D.R. Renewal Theory; Methuen; London, 1962.
4. Barlow, R.E.; Proschan, F. Statistical Theory of Reliability and Life Testing; Holt, Rinehart and Winston: New York, 1981.
5. Heyman, D.R; Sobel, M.J. Stochastic Models in Operations Research; McGraw-Hill: New York, 1982; Vol. I.
6. Xie, Min. On the Solution of Renewal-Type Integral Equations. Commun. Statist. Simulation Comput. 1989,18 (1), 281-293.
7. Garg, A; Kalagnanam, J.R. Approximations for the Renewal Function. IEEE Trans. Reliability 1998,47 (1), 66-72.
8. Constantine, A.G.; Robinson, N.I. The Weibull Renewal Function for Moderate to Large Arguments. Comput. Statist. Data Analysis 1997,24,9-27.
9. Smith, W.L.; Leadbetter, M.R. On the Renewal Function for the Weibull Distribution. Technometrics 1963,5, 393-396.
10. ISML. International Mathematics and Statistics Library, Houston, Texas, 1992.