Summary
The null and nonnull distributions of the likelihood ratio statistics for testing the homogeneity ofk given populations, each associated with a nonregular density depending on two truncation parameters, are investigated. This generalizes to the two-parameter case the work of Hogg (1956,Ann. Math. Statist.,27, 529–532), Barr (1966,J. Amer. Statist. Assoc.,61, 856–864) and Khatri and Jaiswal (1969,Aust. J. Statist.,11, 79–84; 1969, 1971,Ann. Inst. Statist. Math.,21, 127–136;23, 199–210).
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Bar-lev, S.K., Boukai, B. Likelihood ratio tests for comparingk populations —The two-parameter nonregular models. Ann Inst Stat Math 38, 277–283 (1986). https://doi.org/10.1007/BF02482516
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DOI: https://doi.org/10.1007/BF02482516