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Analiza statystyczna zróżnicowania wykorzystania środków unijnych przez polskie regiony szczebla NUTS 2 w okresie od stycznia 2007 roku do czerwca 2010 roku

100%
Huptas R., Pawelek B.
Zeszyty Naukowe Uniwersytetu Ekonomicznego w Krakowie
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2012
|
issue 878
73-90
EN
Poland is the largest beneficiary of the EU’s cohesion policy, scheduled for years 2007–2013. During this period, the European Union will grant projects under the Convergence objective and the European Territorial Cooperation objective to the tune of € 67.3 billion. Along with national co-financing the total value of projects using EU funds will amount to € 85.6 billion. The authors believe the midpoint of the EU’s ongoing financial plan is an appropriate time to assess the diversity of participation among Polish regions in the European Union’s cohesion policy. The aim of their research is to conduct statistical analysis of the diversification of EU fund use to achieve the objectives of European cohesion policy by the Polish NUTS 2 regions for the period from January 2007 to June 2010. The verification of hypotheses formulated, referring to the realisation of economic and social cohesion, is based on indicators proposed by European Commission. In turn, the authors propose indicators for determining the level of technical infrastructure development in order to study the realisation of territorial cohesion. They also discuss new and current applications of statistical methods.
2

Pewne metody ustalania ubezpieczeniowych składek netto

100%
Huptas R., Najman P.
Zeszyty Naukowe Uniwersytetu Ekonomicznego w Krakowie
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2012
|
issue 895
117-128
EN
The aim of this article is to present some generalisations of actuarial problems which have interesting solutions from a mathematical point of view. The generalisations we propose can be used in practice to calculate net single premiums in some types of life insurance. Solutions of problems are non-trivial and include advanced mathematical analysis techniques and algebra required in applied mathematics. The problems considered here are connected with a statistical model of life insurance (the distribution function of the future lifetime, force of mortality) and mainly the calculation of net single premiums in chosen types of life insurance. It is also presented very interesting example in which a net single premium of a whole life insurance policy for a person at fractional age is calculated (for a person at the age of x + α, where x is an integer number and α is a fraction, 0 ≤ α ≤ 1). There are proven relationships between the net single premium calculated for different assumptions of mortality during the year. Example illustrated values of these premiums for different fractional parts of the age are provided.
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