Statistical analysis of the dependency time series of the natality and nuptiality in the Czech Republic

This diploma thesis is dealing with the study of dependence between birth and marriage in the Czech Republic in 1973-2016, this period is divided into two time point, due to the demographic transition and the new political regime, before 1989 (state regulated economy) and after 1989 (the changeover to a market economy). The basis for multidimensional analysis of time series is the starting point for finding the relationship or dependency between the monitored characteristics. The demographic indicator of birth rate (natality) is characterized by the number of live births and the marriage rate (nuptiality) by the number of marriages in the Czech Republic, available at monthly frequency. In the introduction of this thesis, the hypothesis of the absence of dependence (relationship) between the observed time series is determined, which will be analysed at the end of the analysis for both time series. The results of this thesis can be helpful not only to experts who were engaged with this issue in detail, but also to those interested in demographics or time series, because the prediction of these indicators will be simulated in the end of this paper