The martingale method is used to establish concentration inequalities for a class of dependent random sequences on a countable state space, with the constants in the inequalities expressed in terms of certain mixing coefficients. Along the way, bounds are obtained on martingale differences associated with the random sequences, which may be of independent interest. As applications of the main result, concentration inequalities are also derived for inhomogeneous Markov chains and hidden Markov chains, and an extremal property associated with their martingale difference bounds is established. This work complements and generalizes certain concentration inequalities obtained by Marton and Samson, while also providing different proofs of some known results.

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Purpose: To determine the level of implementation of human economic rights in countries in transition, to establish causal links between the level of economies of transition states and the implementation of human economic rights and to develop ways to improve conditions for their implementation. Design/Methodology/Approach: To achieve the purpose specified, an elementary theoretical method, a method of comparison, analysis, generalization and analogy have been used. Findings: The level of economic development of individual countries in transition (Ukraine, Latvia, the Czech Republic) in comparison with highly developed countries (Denmark, Japan, Iceland) has been presented. The reasons for the low level of ensuring the implementation of human economic rights in transition states have been clarified (shadow economy of enterprises, inadequate conditions for investors, insufficient level of economic development, leveling by human capital, job cuts, high level of corruption, lack of innovative technologies). The cause and effect link between the level of economic development, the unemployment rate, the attraction of human capital, the conditions of doing business, corruption and the implementation of economic rights have been proved. Practical Implications: This study suggests ways of improving the conditions for the realization of economic human rights. These rights are developed to reform areas that are directly related to the improving process of the economies of transition countries. Originality/Value: The study emphasizes that the level of realization of economic human rights in transition countries depends on the economic development of the country.

The article discusses conditionality desire of students to self-development and the formation of competence readiness in this area of knowledge in classes of P.E. Designed levels determination of formation of readiness for self-development of students of the university. The system contributes to self-realization of the personality of students, formation of physical culture and sports competences and the competence of self-development. The fact is that the current situation in the development of the society and the analysis of the world's sociocultural and educational trends indicate that in recent years, various aspects of the individual's behavior towards his health have become the object of intense public attention and the subject of interdisciplinary research in many highly developed countries under the slogan: "Health is not everything, but everything without health is nothing". Hence the tasks of the student's personality self-development during the intensive preparation for professional activity at the university are aimed at maintaining their own health and improving their physical fitness, considering formation of professional motor skills for effective mastering the future profession and career growth after graduation.

development of an innovative economy: The promotion of investment growth in production infrastructure and innovation, increasing the orientation of research institutions to the needs of the real economy, the development of entrepreneurship in all sectors of the economy and the creation of necessary conditions. The article considers the key elements of innovation infrastructure. Also this article is given a brief description of the complex target