@article{article_264335, title={Planning Life Tests for Burr XII Distributed Products Under Progressive Group-censoring with Cost Considerations}, journal={Gazi University Journal of Science}, volume={25}, pages={425–434}, year={2012}, author={Kus, Coşkun and Wu, Shuo-jye and Akdogan, Yunus}, keywords={D-Optimality, Grouped data, Interval censoring, Nonlinear mixed integer programming, Maximum likelihood method, Progressive censoring.}, abstract={<p class="MsoBodyText" style="text-align:justify;margin:13pt 0cm 0pt 36pt;"> <span style="font-family:’Times New Roman’;"> <span style="font-size:10pt;">In this paper, a progressive type I group-censoring </span> <span style="font-size:10pt;">life test </span> <span style="font-size:10pt;">for </span> <span style="font-size:10pt;">Burr XII </span> <span style="font-size:10pt;"> distribution is considered. </span> </span> <span style="font-family:cmr10;font-size:10pt;" lang="en-us" xml:lang="en-us">We use the maximum likelihood method to obtain the point estimators of the Burr XII parameters. </span> <span style="font-family:’Times New Roman’;"> <span style="font-size:10pt;" lang="en-us" xml:lang="en-us"> </span> <span style="font-size:10pt;">The approximate confidence intervals for the parameters of </span> <span style="font-size:10pt;">Burr XII </span> <span style="font-size:10pt;"> distribution are </span> <span style="font-size:10pt;">also </span> <span style="font-size:10pt;">obtained. </span> <span style="font-size:10pt;">We use modified algorithm proposed by </span> <span style="font-size:10pt;">Kus <em>et al. </em> [19] to </span> <span style="font-size:10pt;">decide </span> <span style="font-size:10pt;">the number of test units, number of inspections, and length of inspection interval </span> <span style="font-size:10pt;"> </span> <span style="font-size:10pt;">under a </span> <span style="font-size:10pt;">restricted </span> <span style="font-size:10pt;">budget of experiment such that </span> <span style="font-size:10pt;">the determinant of </span> <span style="font-size:10pt;">the asymptotic variances-covariance of estimators of parameters </span> <span style="font-size:10pt;">is minimum </span> <span style="font-size:10pt;">. A numerical example is presented </span> <span style="font-size:10pt;">to illustrate the proposed approach. T </span> <span style="font-size:10pt;">he sensitivity analysis is also </span> <span style="font-size:10pt;">investigated </span> <span style="font-size:10pt;">. </span> </span> </p>}, number={2}, publisher={Gazi University}