Verification of the hypotheses on the equality of densities of distributions

  • P. Babilua
  • E. Nadaraya
  • G. A. Sokhadze Iv. Javakhishvili Tbilisi State Univ., Georgia


We construct new criteria for the verification of the hypotheses that $p \geq 2$ independent samplings have identical densities of distributions (homogeneity hypothesis) or identically defined densities of distributions (compatibility hypothesis). We determine the ultimate powers of the constructed criteria for some local “close” alternatives.
How to Cite
Babilua, P., E. Nadaraya, and G. A. Sokhadze. “Verification of the Hypotheses on the Equality of densities of Distributions”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 68, no. 5, May 2016, pp. 586-00,
Research articles