Advanced search
Publication Cover
Communications in Statistics - Simulation and Computation Volume 46, 2017 - Issue 4
Submit an article Journal homepage
240
Views
10
CrossRef citations to date
0
Altmetric
Original Articles

Optimal experimental plan for multi-level stress testing with Weibull regression under progressive Type-II extremal censoring

Hon Keung Tony NgDepartment of Statistical Science, Southern Methodist University, Dallas, Texas, USACorrespondence[email protected]
,
İsmail KınacıDepartment of Statistics, Selçuk University, Konya, Turkey
,
Coşkun KuşDepartment of Statistics, Selçuk University, Konya, Turkey
&
Ping Shing ChanDepartment of Statistics, The Chinese University of Hong Kong, Shatin, Hong Kong
Pages 2611-2637 | Received 24 Oct 2014, Accepted 19 May 2014, Published online: 29 Dec 2016

References

  • Balakrishnan, N. (2007). Progressive censoring methodology: An appraisal. Test 16:211–259.
  • Balakrishnan, N., Aggarawala, R. (2000). Progressive Censoring: Theory Methods and Applications. Boston: Birkhäuser.
  • Balakrishnan, N., Cramer, E. (2014). The Art of Progressive Censoring: Applications to Reliability and Quality. Boston: Birkhäuser.
  • Balakrishnan, N., Childs, A., Chandrasekar, B. (2002). An efficient computational method for moments of order statistics under progressive censoring. Statistics & Probability Letters 60:359–365.
  • Balakrishnan, N., Cohen, A. C. (1991). Order Statistics and Inference: Estimation Methods. San Diego, CA: Academic Press.
  • Bhattacharya, R., Pradhan, B., Dewanji, A. (2014). Optimum life testing plans in presence of hybrid censoring: A cost function approach. Applied Stochastic Models in Business and Industry 30:519–528.
  • Burkschat, M. (2008). On optimality of extremal schemes in progressive Type-II censoring. Journal of Statistical Planning and Inference 138:1647–1659.
  • Burkschat, M., Cramer, E. (2012). Fisher information in generalized order statistics. Statistics 46:719–743.
  • Burkschat, M., Cramer, E., Kamps, U. (2006). On optimal schemes in progressive censoring. Statistics & Probability Letters 76:1032–1036.
  • Burkschat, M., Cramer, E., Kamps, U. (2007). Optimality criteria and optimal schemes in progressive censoring. Communications in Statistics – Theory and Methods 36:1419–1431.
  • Chan, P. S., So, H. Y., Ng, H. K. T., Gao, W. (2016). Optimal sample size allocation for multi-level stress testing with extreme value regression under Type-I censoring, submitted.
  • Cohen, A. C. (1991). Truncated and Censored Samples: Theory and Applications. New York: Marcel Dekker.
  • Dahmena, K., Burkschat, M., Cramer, E. (2012). A- and D-optimal progressive Type-II censoring designs based on Fisher information. Journal of Statistical Computation and Simulation 82:879–905.
  • Harter, H. L., Moore, A. H. (1967). Asymptotic variances and covariances of maximum likelihood estimators, from censored samples, of the parameters of Weibull and gamma populations. Annals of Mathematical Statistics 38:557–570.
  • Hofmann, G., Cramer, E., Balakrishnan, N., Kunert, G. (2005). An asymptotic approach to progressive censoring. Journal of Statistical Planning and Inference 130:207–227.
  • Ka, C. Y., Chan, P. S., Ng, H. K. T., Balakrishnan, N. (2011). Optimal sample size allocation for multi-level stress testing with extreme value regression under Type-II censoring. Statistics 45:257–279.
  • Meeker, W. Q., Escobar, L. A. (1998). Statistical Methods for Reliability Data. New York: Wiley.
  • Nelson, W. (1982). Applied Life Data Analysis. New York: Wiley.
  • Nelson, W., Meeker, W. Q. (1978). Theory for optimum accelerated censored life tests for Weibull and extreme value distributions. Technometrics 20:171–177.
  • Ng, H. K. T., Balakrishnan, N., Chan, P. S. (2007). Optimal sample size allocation for tests with multiple levels of stress with extreme value regression. Naval Research Logistics 54:237–249.
  • Ng, H. K. T., Chan, P. S., Balakrishnan, N. (2004). Optimal progressive censoring Plan for the Weibull distribution. Technometrics 46:470–481.
  • Yang, Z., Lin, D. K. J. (2007). Improved maximum-likelihood estimation for the common shape parameter of several Weibull. Applied Stochastic Models in Business and Industry 23:373–383.

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:

Order Reprints Request Corporate Permissions

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:

Request Academic Permissions

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.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.