http://dspace.nbuv.gov.ua:80/handle/123456789/3059 2026-04-13T13:50:04Z http://dspace.nbuv.gov.ua:80/handle/123456789/4435 On the Markov property of strong solutions to sde with generalized coefficients Zaitseva, L.L. We present the complete proof of the Markov property of the strong solution to a multidimensional stochastic differential equation, whose coefficients involve the local time on a hyperplane of the unknown process. 2005-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/4434 Multiplicative decomposition and infinite divisibility of the mandel distribution Virchenko, Yu.P.; Vitokhina, N.N. Infinite divisibility of the Mandel distribution that arises in quantum optics is proved. On the basis of this fact, the multiplicative decomposition of this distribution into the countable convolution of some Poisson distributions is constructed. 2005-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/4433 Marginal probability distributions of random sets in R with Markovian refinements Virchenko, Yu.P.; Shpilinskaya, O.L. Marginal probability distributions describing statistically random sets in R losed with probability one are introduced. These distributions are calculated in the case of random sets with Markovian refinements. 2005-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/4432 Modified orthogonal regression estimator in the quadratic errors-in-variables model Repetatska, G. The quadratic functional measurement error model with equal error variances is considered. The asymptotic bias of an orthogonal regression estimator is derived. A modified estimator which has smaller asymptotic bias for small measurement errors is presented. 2005-01-01T00:00:00Z