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).
Nonregular distributions likelihood ratio tests power functions
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Khatri, C. G. and Jaiswal, M. C. (1969). Testing the equality of distributions when the range depends upon the parameter,Aust. J. Statist.,11, 79–84.MathSciNetCrossRefGoogle Scholar
Jaiswal, M. C. and Khatri, C. G. (1969). The power function of the likelihood ratio test when range depends upon the parameter,Ann. Inst. Statist. Math.,21, 127–136.MathSciNetCrossRefGoogle Scholar
Jaiswal, M. C. and Khatri, C. G. (1971). On certain tests and monotonicity of their power for the parameters involved in the nonregular density functions,Ann. Inst. Statist. Math.,23, 199–210.MathSciNetCrossRefGoogle Scholar