标题： 20世纪罗马尼亚很长的出生时间序列的Hurst指数 社会和宗教方面 显示英文标题

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

摘要： 罗马尼亚长达97年（1905年至2001年）的每日出生时间序列中的赫斯特指数已从官方每日记录中提取出来。这些序列通过区分位于城市（U）或农村（R）地区以及是否属于正统宗教（Ox 或 NOx）的家庭而得出。还分析了结合这两种标准（即(U,R)和(Ox, NOx)）的四个时间序列。给出了这些子群体在20世纪作为一个快照状态下的统计信息。然而，主要目标是调查“每日”婴儿出生数量是否完全是噪声，还是根据某种非平凡的分数布朗运动波动——这四种类型的群体分别以他们的居住环境或宗教态度为特征，但生活在相同的政体下。另一个目标是确定组合标准是否暗示不同的行为模式。此外，我们希望观察是否存在季节性周期性。为了找到这些（9个）信号的分形相关维数，使用了去趋势波动分析技术。由于存在两种周期性趋势，首先有必要定义赫斯特指数有意义的范围。结果表明，所有情况下婴儿出生都是一个非常强的持久信号。发现信号的分形相关维数对于NOx比Ox更弱，并且对于U相对于R也更弱。此外，观察到U或R与NOx或Ox的组合增强了UNOx、UOx和ROx的波动，但使RNOx信号更加平滑，从而表明宗教仪式或规则对行为有更强的制约作用。 显示英文摘要

摘要： 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.