Repairable system model with time dependent covariate

Kiani, K

Abstract

In this paper we extend a repairable system model that incorporates both time trend and
renewal-type behavior to include a time dependent covariate. We calculated the bias,
standard error and RMSE of the parameter estimates of this model at different sample
sizes using simulated data. Following that, we studied several alternative computer intensive methods of constructing confidence interval estimates for the parameters of the
general model. Alternative methods relieve us from making assumptions and having
to depend solely on traditional methods derived from asymptotic statistical theory. In
addition, the high capability of modern day computers makes these methods easily applicable and practical. Several parametric bootstrap methods and a modified jackknife
confidence interval procedure were compared to the Wald interval via coverage probability study. The results clearly show that the B-t and jackknife techniques work much
better than other methods when sample sizes are between 50 to 100. The Wald intervals
were found to be highly asymmetrical even at large sample sizes.

Citation

Kiani, K. (2010). Repairable system model with time dependent covariate

• Journal Article Type: Article
• Publication Date: Jan 1, 2010
• Deposit Date: Mar 28, 2023
• Journal: Journal of Applied Probability and Statistics
• Print ISSN: 1930-6792
• Volume: 5
• Issue: 2
• Pages: 129-143
• Publisher URL: http://japs.isoss.net/japs%205(2)1.pdf