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PreprintCC BY-SA 4.0arXiv

Parametric bootstrap simultaneous confidence interval based on doubly type-II censoring

  • Dipak Patra
  • Lakshmi Kanta Patra
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Abstract

Parametric bootstrap and fiducial generalized methods are proposed to construct simultaneous confidence intervals (SCIs) for all pairwise mean differences of several two-parameter exponential distributions, based on doubly censored samples. Both methods have been shown to have correct asymptotic coverage probabilities. Simulation studies are conducted to compare the performance of the two proposed methods. The usefulness of our proposed procedure is illustrated with two examples.

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Cite

BibTeXRIS
BibTeX
@misc{patra2026parametric,
  title = {{Parametric bootstrap simultaneous confidence interval based on doubly type-II censoring}},
  author = {Dipak Patra and Lakshmi Kanta Patra},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.10038},
  eprint = {2609.10038},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.10038},
  note = {CC BY-SA 4.0},
}
RIS
TY  - UNPB
TI  - Parametric bootstrap simultaneous confidence interval based on doubly type-II censoring
AU  - Dipak Patra
AU  - Lakshmi Kanta Patra
PY  - 2026
DA  - 2026/09/09
PB  - arXiv
DO  - 10.48550/arxiv.2609.10038
UR  - https://arxiv.org/abs/2609.10038
AB  - Parametric bootstrap and fiducial generalized methods are proposed to construct simultaneous confidence intervals (SCIs) for all pairwise mean differences of several two-parameter exponential distributions, based on doubly censored samples. Both methods have been shown to have correct asymptotic coverage probabilities. Simulation studies are conducted to compare the performance of the two proposed methods. The usefulness of our proposed procedure is illustrated with two examples.
ER  -