Darbe nagrinėjami taškiniai procesai (nehomogeninis Puasono procesas ir atstatymo procesas), randamos bendrosios sąlygos, kad būtų patenkintas lokalus asimptotinis normalumas. / The purpose of this work is to determine general conditions for local asymptotic normality to be assured.The point processes (renewal process and non-homogenous Poisson process) and their properties are examined in the first part of work. Then the conditions for the local asymptotic normality have been investigated. In the second part of work it is shown how these conditions are satisfied in the cases of the renewal process and non-homogenous Poisson process.

Darbe nagrinėjamos elipsinio tipo II rūšies beveik kontaktinės metrinės struktūros matematinėje literatūroje yra mažai tyrinėtos. Jos egzistuoja beveik kompleksinių daugdarų, turinčių B-metriką, normalizuotuose hiperpaviršiuose. Tiriama dviparametrinė tokių struktūrų šeima elipsinio tipo B-erdvės hiperpaviršiuje. Ryšys tarp šeimos struktūrų savybių įrodytas lemose ir teoremoje 3. / An almost contact metric structure (φ, ξ, η, g) of the elliptic type and of the second kind is defined in (2n-1)-dimensional manifold M2n-1 by affinor , vector , covector and metric gij satisfying the conditions: , , , . Such a structure induces in normalized hypersurfaces M2n-1 of manifolds M2n equipped with almost complex structure F and B-metric G. If Riemannian connection is F-connection, manifold M2n is called the B-space of the elliptic type. In the article, 2-parametric set aG+bF, a, b=const, of metrics in M2n is viewed. The set defines in the hypersurface M2n-1 a set of almost contact metric structures of the elliptic type of the second kind. The main result of the article is proof of the theorem. If M2n is B-space of elliptic type, normality, integrability, contacty of one structure in the set of almost contact metric structures is equivalent to normality, integrability, contacty, respectively, of all structures.