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208

,ll,OCJii)l,)KeHb € p03p06Ka peKOMeH)J,aiJ,iH l.IJ,O)l,O BHfiopy CT{JaTerit ynpaBJiiHH.sr ecpeKTHBHiCTIO CK.

JliTeparypa: I. Fries, S., Cost efficiency of banks in transition: evidence from 289 banks in 15 post-communist countries [Text] IS. Fries, A. Taci II Journal ofbanking and finance.- 2005. -.N2 29.- P. 55-81. 2. Berger, A.N. Efficiency of financial institutions: international survey and directions for future research [Text] I A.N. Berger, D.B. Humphrey II European journal of operational research. - 1997. -.N2 98.- P. 175-212. 3. Bauer, P.W. Consistency conditions for regulatory analysis of financial institutions: a comparison of frontier efficiency methods [Text] I P. W. Bauer, A.N. Berger, G.D. Ferrier, D.B. Humphrey II Journal of economics and business.- 1998.- .N2 50.- P. 85-114. 4. ITiAABCbKHi1, A. EcpeKT11BHicTb ,ll,rnJibHocTi yKpaiHcbKoi 6aHKiBCbK01 CHCTeMH (2005-2009 pp.). MeTo,ll,onorlli aHani3y cppoHTiB [TeKcT] I A. ITiAABCbKHH, 0. BoB'laK, 10. Mau,iB, T. XoMa II BicHHK Hau,ioHaJibHoro 6aHKY YKpaiHw.- 2010.- .N2 4. -C. 16-22 . 5. Eling, M. Frontier Efficiency Methodologies to measure performance in the insurance industry: overview, systematization and recent developments [Text] I M. Eling, M. Luhnen II The Geneva Papers. -2010.- .N2 35.- P. 217-265. 6. Farrell, M.J. The measurement of productive efficiency [Text] I M.J. Farrell II Journal of the royal statistical society.- 1957.- .N2 120. - P. 253-289. 7. KpaB'lyK, r.B. KOHKypeHTOCIIpOMO)KHiCTb CT{JaxoBoro pHHKY YKpaiHH: MOHorpacplli [TeKcT] I qepHiriB: MHTY qJffiiiT, 2009.-346 c.

i p03BHTOK r.B. KpaB'lyK. -

8. Coelli, T.G. An Introduction to Efficiency and Productivity Analysis [Text] I T.J. Coelli, D.S. Prasado Rao, C.J. O'Donnel, G.E. Battese.- 2nd edition.- Springer, 2005.- 331 p. 9. Fried, H.O. The measurenment of productive efficiency and productivity gross [Text] I H.O. Fried, C.A.K. Lovell, S.S. Schmidt. -Oxford University Press, 2008. - 653 p.

209

10. Cooper, W.W. Data Envelopment Analysis. A comprehensive text with models, applications, references and DEA-solver software [Text] I W.W. Cooper, L.M. Seiford, K. Tone. - Springer, 2007.-488 p. 11. Battese, G.E. A model for technical inefficiency effects in a stochastic frontier production function for panel data I G.E. Battese, T.J. Coelli II Empirical Economics.- 1995. - NQ 20. - P. 325-332. 12. Styrin, K. What explains differences in efficiency across Russian banks? [Text] I K. Styrin. - Moscow: EERC, 2005.- 29 p.

210

ANNOTATION

Danilchuk A.B., Lukianchuk O.S., Soloviev V.M. Entropy analysis of world banking system The aim is to study the global banking system with elements of complexity theory to develop adequate indicators that have signaled the approach of the crisis Drobotova M.V., Kutsenko M.O. Recreational component of a tourist cluster of Cherkashchini and development of her infrastructure Need and possibility of creation of a tourist cluster in the territory of the Cherkassk area is proved. The domain and cluster method of structurization of the tourist sphere is offered. The structure of a tourist cluster is defined. The importance of a recreational component in a tourist's cluster is proved. Recreational specialization of hotel infrastructure of the Cherkassk area is defmed. Chabanenko D.M. Time series Forecating methods and complexity problem Nowadays a big number of forecasting methods exist, that are different in computational complexity and accuracy of forecasts. The author considers the usage of non-optimal, according to the complexity terms, models as one of the inaccuracy reasons. The method of determining the optimal forecasting model class for the given forecasting horizon and the learning data set is proposed, which is based on cross-validation procedure for the models. The complexity limitation with the certain class gives a possibility to increase forecasting accuracy. The experimental work is done in the application of the proposed method to the polyharmonic models on the Ukrainian Exchange's futures data. Grytsenko K.G. Evaluation of cost efficiency of Ukrainian insurance companies on basis of stochastic frontier method. This paper assesses the level of cost efficiency of Ukrainian insurance companies on the basis of the stochastic frontier method, which reflects the ability of management of insurance company to make better decisions in the selection of insurance products and the use of factors of production in order to minimize costs. We investigate the question of

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