Abstract. The greatest lower bounds are obtained for the probability F(v) − F(u), v < u < ∞, in the set of distribution functions F(x) of nonnegative random variables with unimodal density with mode m < u and two first fixed moments.
Keywords: extremum step distribution functions, linear functional in reliability theory, set of distribution functions with unimodal density and two fixed moments, partition of the parameter domain.
Стойкова Лидия Степановна,
доктор физ.-мат. наук, Киев,
e-mail: stojk@ukr.net.