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A Nonparametric Test for Stochastic Ordering in Type I Censored ‎Data‎
Ebrahim Amini-Seresht *
Abstract:   (29 Views)

In this paper, a nonparametric test based on incomplete data is proposed to investigate the usual stochastic order  using an extension of Banerjee statistic for Type I censored data. This extension is optimized with weight coefficients based on Simpson's rule and the bootstrap method with 10000 iterations to estimate the empirical distribution of the proposed test statistic. The empirical distribution of the statistic under censoring is studied, and the power of the test is evaluated using Monte Carlo simulations against the Lehmann alternative model.

Keywords: Stochastic ordering, Nonparametric tests, Monte Carlo simulation, Type I censoringensoring.
Full-Text [PDF 195 kb]   (29 Downloads)    
Type of Study: Research | Subject: Probabilty and Applications
Received: 2025/08/6 | Accepted: 2025/04/30
References
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6. Kochar, S. C. (1979), Distribution-free ‎C‎omparison of two ‎P‎robability ‎D‎istributions with ‎R‎eference to their ‎H‎azard ‎R‎ates, Biometrika, 66 (3), 437‎-‎441.‎ [DOI:10.1093/biomet/66.3.437]
7. Kochar, S. C. (1981), A ‎N‎ew ‎D‎istribution-free ‎T‎est for the ‎E‎quality of ‎t‎‎wo ‎F‎ailure ‎R‎ates, Biometrika, 68 (2), 423‎-‎426‎.‎‎ [DOI:10.2307/2335588]
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9. ‎‎‎Shaked‎, ‎M‎. ‎and Shanthikumar‎, ‎J‎. ‎G‎. ‎(2007)‎, Stochastic Orders‎, ‎Springer‎.
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Creative Commons License This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
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مجله علوم آماری – نشریه علمی پژوهشی انجمن آمار ایران Journal of Statistical Sciences

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