36
Views
20
CrossRef citations to date
0
Altmetric
Original Articles

Computing the Phase-Type Renewal and Related Functions

Pages 87-93 | Published online: 23 Mar 2012

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (5)

I. Gertsbakh & Y. Shpungin. (2004) Renewal Function and Interval Availability: A Numerical Monte-Carlo Study. Communications in Statistics - Theory and Methods 33:3, pages 639-649.
Read now
Neville I. Robinson. (1997) Renewal functions as series. Communications in Statistics. Stochastic Models 13:3, pages 577-604.
Read now
Min Xie. (1989) On the solution of renewal-type integral equations. Communications in Statistics - Simulation and Computation 18:1, pages 281-293.
Read now

Articles from other publishers (15)

B. Madhu Rao. (2021) Cumulative free replacement warranty with phase type lifetime distributions. Computers & Industrial Engineering 162, pages 107771.
Crossref
Richard Arnold, Stefanka Chukova, Yu Hayakawa & Sarah Marshall. (2020) Geometric-Like Processes: An Overview and Some Reliability Applications. Reliability Engineering & System Safety 201, pages 106990.
Crossref
Wanlu Gu, Neng Fan & Haitao Liao. (2018) Evaluating readmission rates and discharge planning by analyzing the length-of-stay of patients. Annals of Operations Research 276:1-2, pages 89-108.
Crossref
Søren Asmussen & Marita Olsson. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online.
Søren Asmussen & Marita Olsson. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
SØRen Asmussen & Marita Olsson. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
Tadashi Dohi, Naoto Kaio & Shunji Osaki. 2002. Stochastic Models in Reliability and Maintenance. Stochastic Models in Reliability and Maintenance 1 30 .
H. Okamura, T. Dohi & S. Osaki. 2001. Integrated Models in Production Planning, Inventory, Quality, and Maintenance. Integrated Models in Production Planning, Inventory, Quality, and Maintenance 31 65 .
H. Ayhan, J. Limon-Robles & M.A. Wortman. (1999) An approach for computing tight numerical bounds on renewal functions. IEEE Transactions on Reliability 48:2, pages 182-188.
Crossref
Konstadinos Politis & Susan M. Pitts. (1998) Approximations for solutions of renewal-type equations. Stochastic Processes and their Applications 78:2, pages 195-216.
Crossref
James Ledoux & Gerardo Rubino. (2016) Simple formulae for counting processes in reliability models. Advances in Applied Probability 29:4, pages 1018-1038.
Crossref
Edward P. C. Kao & Marion Spokony Smith. (2016) On renewal processes relating to counter models: the case of phase-type interarrival times. Journal of Applied Probability 30:1, pages 175-183.
Crossref
Edward P. C. Kao & Marion Spokony Smith. (2016) On renewal processes relating to counter models: the case of phase-type interarrival times. Journal of Applied Probability 30:01, pages 175-183.
Crossref
Edward P. C. Kao & Marion Spokony Smith. (1992) On excess-, current-, and total-life distributions of phase-type renewal processes. Naval Research Logistics 39:6, pages 789-799.
Crossref
E. Smeitink & R. Dekker. (1990) A simple approximation to the renewal function (reliability theory). IEEE Transactions on Reliability 39:1, pages 71-75.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.