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The Models of Personal Incomes in USA

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The shapes of distributions of personal incomes in USA have been investigated based on the data for 1993 to 2008. Comparisons between four models utilizing various number of parameters have been performed. The studies showed that the empirical data is described the best by the three-parameter Dagum model. Values of the models parameters indicate that the distribution of personal incomes can be regarded as zero-modal one. However, one-parameter exponential model shows a good agreement with data and can be treated as a good approximation of empirical distribution with the exception of the region with very high incomes. The high-income region is characterized by the relatively great number of events and is described much better by the Dagum distribution.
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Epidemic diseases such as Tuberculosis (TB), AIDS (Acquired Immune Deficiency Syndrome) and CCHF (Crimean-Congo Hemorrhagic Fever) remain as a major global health problem. For example, in 2012, an estimated 8.6 million people developed TB and 1.3 million died from the disease reported by WHO (including 320 000 deaths among HIV (human immunodeficiency virus) positive people) in the world. However, the presence of immunodeficiency such as in HIV positive cases helps TB to occur and to be contagious. Hence, to decrease the number of patients with TB lessens the socioeconomical burden, and, to prevent the people from TB as well as TB/HIV and MDR-TB (multi-drug-resistant tuberculosis) are of importance. Taking appropriate precautions in fighting epidemic diseases begins primarily with making predictions. In this respect, although the diagnosis and cure are known for some epidemic diseases, it is evident that a fighting program must depend on predictable cases. Therefore an investigation on an epidemic disease in framework of the mathematical modelling is indispensable and can potentially lead to better ways to analyze, forecast, and prevent epidemics. In this study, to help with all these concerns, we aimed to predict the effects of epidemic of TB including HIV positive patients, as well as of AIDS and CCHF in terms of number of infected people in Turkey by using the mathematical modelling of SIR. Here, we showed that SIR (susceptible-infected-recovered) Model can be used for such epidemic diseases.
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Naming Boys after U.S. Presidents in 20th Century

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This paper deals with the popularity of given names in the United States, for the period 1885-2009. Based on the data obtained from the website of U.S. Social Security Administration, it was demonstrated that the fashion of naming babies after the incumbent American president passed away in the '60s. At the same time, however, examples were given, mainly concerning celebrities, after whom babies are still named. The above theses were strengthened with the aid of quantitative data analysis by constructing an index dedicated to the specifics of the task under investigation. The obtained results were discussed in the terms of the rally effect and of the Simmel theory of fashion.
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