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Hurst exponent of very long birth time series in XX century Romania. Social and religious aspects.

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Title: Hurst exponent of very long birth time series in XX century Romania. Social and religious aspects.
Authors: Rotundo, G.1 giulia.rotundo@gmail.com, Ausloos, M.2,3,4 marcel.ausloos@ulg.ac.be, Herteliu, C.5 claudiu.herteliu@gmail.com, Ileanu, B.5 ileanub@yahoo.com
Source: Physica A. Jul2015, Vol. 429, p109-117. 9p.
Subjects: Time series analysis, Orthodox Christianity, Statistics, Brownian motion, Fluctuations (Physics), Religiousness
Abstract: The Hurst exponent of very long birth time series in Romania has been extracted from official daily records, i.e. over 97 years between 1905 and 2001 included. The series result from distinguishing between families located in urban (U) or rural (R) areas, and belonging (Ox) or not (NOx) to the orthodox religion. Four time series combining both criteria, (U,R) and (Ox, NOx), are also examined. A statistical information is given on these sub-populations measuring their XX-th century state as a snapshot. However, the main goal is to investigate whether the “daily” production of babies is purely noisy or is fluctuating according to some non trivial fractional Brownian motion, — in the four types of populations, characterized by either their habitat or their religious attitude, yet living within the same political regime. One of the goals was also to find whether combined criteria implied a different behavior. Moreover, we wish to observe whether some seasonal periodicity exists. The detrended fluctuation analysis technique is used for finding the fractal correlation dimension of such (9) signals. It has been first necessary, due to two periodic tendencies, to define the range regime in which the Hurst exponent is meaningfully defined. It results that the birth of babies in all cases is a very strongly persistent signal. It is found that the signal fractal correlation dimension is weaker (i) for NOx than for Ox, and (ii) or U with respect to R. Moreover, it is observed that the combination of U or R with NOx or OX enhances the UNOx, UOx, and ROx fluctuations, but smoothens the RNOx signal, thereby suggesting a stronger conditioning on religiosity rituals or rules. [ABSTRACT FROM AUTHOR]
Copyright of Physica A is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Hurst exponent of very long birth time series in XX century Romania. Social and religious aspects.
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  Data: <searchLink fieldCode="AR" term="%22Rotundo%2C+G%2E%22">Rotundo, G.</searchLink><relatesTo>1</relatesTo><i> giulia.rotundo@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Ausloos%2C+M%2E%22">Ausloos, M.</searchLink><relatesTo>2,3,4</relatesTo><i> marcel.ausloos@ulg.ac.be</i><br /><searchLink fieldCode="AR" term="%22Herteliu%2C+C%2E%22">Herteliu, C.</searchLink><relatesTo>5</relatesTo><i> claudiu.herteliu@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Ileanu%2C+B%2E%22">Ileanu, B.</searchLink><relatesTo>5</relatesTo><i> ileanub@yahoo.com</i>
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  Data: <searchLink fieldCode="DE" term="%22Time+series+analysis%22">Time series analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Orthodox+Christianity%22">Orthodox Christianity</searchLink><br /><searchLink fieldCode="DE" term="%22Statistics%22">Statistics</searchLink><br /><searchLink fieldCode="DE" term="%22Brownian+motion%22">Brownian motion</searchLink><br /><searchLink fieldCode="DE" term="%22Fluctuations+%28Physics%29%22">Fluctuations (Physics)</searchLink><br /><searchLink fieldCode="DE" term="%22Religiousness%22">Religiousness</searchLink>
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  Data: The Hurst exponent of very long birth time series in Romania has been extracted from official daily records, i.e. over 97 years between 1905 and 2001 included. The series result from distinguishing between families located in urban (U) or rural (R) areas, and belonging (Ox) or not (NOx) to the orthodox religion. Four time series combining both criteria, (U,R) and (Ox, NOx), are also examined. A statistical information is given on these sub-populations measuring their XX-th century state as a snapshot. However, the main goal is to investigate whether the “daily” production of babies is purely noisy or is fluctuating according to some non trivial fractional Brownian motion, — in the four types of populations, characterized by either their habitat or their religious attitude, yet living within the same political regime. One of the goals was also to find whether combined criteria implied a different behavior. Moreover, we wish to observe whether some seasonal periodicity exists. The detrended fluctuation analysis technique is used for finding the fractal correlation dimension of such (9) signals. It has been first necessary, due to two periodic tendencies, to define the range regime in which the Hurst exponent is meaningfully defined. It results that the birth of babies in all cases is a very strongly persistent signal. It is found that the signal fractal correlation dimension is weaker (i) for NOx than for Ox, and (ii) or U with respect to R. Moreover, it is observed that the combination of U or R with NOx or OX enhances the UNOx, UOx, and ROx fluctuations, but smoothens the RNOx signal, thereby suggesting a stronger conditioning on religiosity rituals or rules. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
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  Data: <i>Copyright of Physica A is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1016/j.physa.2015.02.003
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        Text: English
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      – SubjectFull: Orthodox Christianity
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      – SubjectFull: Statistics
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      – TitleFull: Hurst exponent of very long birth time series in XX century Romania. Social and religious aspects.
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              Text: Jul2015
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