Iranian Statistical Society Journal of the Iranian Statistical Society 1726-4057 24 2 2025 12 01 Likelihood Ratio Ordering for Spacings Arising from Multiple-Outlier Models 50 68 733691 10.22034/jirss.2026.2076023.1150 EN Ebrahim Amini-Seresht Department of Statistics‎, ‎Faculty of Science‎, ‎Bu-Ali Sina University‎, ‎Hamedan‎, ‎Iran. 0000-0002-4785-7293 Salman Izadkhah Department of Statistics‎, ‎Campus of Bijar‎, ‎University of Kurdistan‎, ‎Bijar‎, ‎Iran‎. Journal Article 2025 10 29 ‎‎In this paper, we investigate the stochastic properties of spacings among order statistics derived from a sample of independent, non-negative random variables that are divided into two groups with different distributions. Previous studies have shown that when these distribution functions are exponential distributions with specified hazard rates, the likelihood ratio ordering holds among the spacings under specific conditions. The present work extends these results by considering more general continuous distribution functions. We identify the necessary conditions on the parent distribution functions for preserving the likelihood ratio ordering among spacings in general settings. The comparison results enhance our understanding of stochastic ordering theory and provide valuable insights for applications in reliability‎, ‎survival analysis‎, ‎and related fields‎, ‎aiding in the development of more flexible and accurate statistical models‎. https://jirss.irstat.ir/article_733691_0adac43b46458420aed8e39aae463045.pdf