The article explores in detail higher education studies that appear as one of the essential university processes. University studies are not a new phenomenon; however, they are overwhelmed by the volume of information surrounded by a wide range of diverse stakeholders. Therefore, the university inevitably needs changes in the adequate fulfillment of its mission thus meeting and harmonizing the expectations of different stakeholders of modern society and the state. Therefore, the concept and role of the study process itself in society are changing. The studies considered to be timely and qualitative are becoming a more and more relevant question to universities. Based on the previous scientific analysis of the study process at the university level and a concept of Quality Assurance for university studies formulated by the Bologna Process, the article examines the relationships and importance of the components (criteria) composing the study process at the university level. The article is aimed at revealing the diversity of the study process and at evaluating the importance and significance of the criteria composing it. To achieve this goal, the multi-criteria decision-making method the Analytical Hierarchy Process were invoked. The representatives of two major Lithuanian universities participated in the carried out research the results of which demonstrated that the criteria of the study process were fundamentally different, and some of those were difficult to measure applying quantitative parameters. Despite this circumstance, giving more attention to a combination of criteria for a particular process of university studies creates conditions for purposeful modeling the study process and the pursuit of high-quality university studies.

The large deviation theorems, exponential inequalities and a non-uniform estimate of the BerryYEss e een theorem in a discounted version are proved. (2000): 60F10. Mathematics Subject Classification

This paper provides numerical and experimental investigations of a ring-shaped piezoelectric 5-DOF robot that performs planar and angular motions of spherical payload. The robot consists of a piezoelectric ring glued on a special stainless-steel ring with three spikes oriented in the radial direction of the ring. The spherical payload is placed on top of the piezoelectric ring and is moved or rotated when a particular excitation regime is used. An alumina oxide ball is glued at the end of each spike of the steel ring and is used as contacting element. The spikes are used to transfer vibrations of the piezoelectric ring to contacting elements and to induce the planar motion of the payload. Additionally, three alumina oxide balls are glued on the top surface of the piezoelectric ring and are used to generate rotational motion of the spherical payload by impacting it. Finally, the top electrode of the piezoceramic ring is divided into six equal sections and is used to control the direction of angular and planar motion of the payload. Numerical modeling of the robot showed that vibration modes suitable for angular and planar motions are obtained at a frequency of 28.25 kHz and 41.86 kHz, respectively. Experimental investigation showed that the maximum angular velocity of the payload is 30.12 RPM while the maximum linear motion of the robot is 29.34 mm/s when an excitation voltage of 200 Vp-p was applied and a payload of 25.1 g was used.

Theorems of large deviations, both in the Cramer zone and the Linnik power zones, for the normal approximation of the distribution density function of normalized sum Sv = \sum∞ k=0 vkXk, 0 < v < 1, of i.i.d. random variables (r.v.) X0, X1, . . . satisfying the generalized Bernstein’s condition are obtained.

The paper considers normal approximation to the distribution of random sums of the squares of independent weighted Gaussian random variables (r.vs.) taking into consideration large deviations in the Cramér zone.