kumulierten

Kumulieren is a German verb meaning to accumulate, collect, or sum up over time. The noun form kumulierung refers to the act or result of such accumulation. The word is used across technical and practical domains to denote the aggregation of data, values, or effects in a sequential or cumulative manner. The form kumulierten is a verb form (Präteritum) or an attributive past participle referring to something that has been accumulated, for example kumulierten Werte or die kumulierten Daten.

In statistics and data analysis, kumulation describes the process of forming a running total or a cumulative measure. Common uses include kumulierte Häufigkeit (cumulative frequency) and kumulierte Verteilungsfunktion (cumulative distribution function), which summarize how a variable accumulates up to a given point. Cumulative data facilitate comparisons over time and provide a compact view of the overall development of a dataset.

In elections and voting systems, Kumulieren refers to a mechanism by which voters may allocate additional votes to a single candidate, thereby increasing that candidate’s total beyond a simple one-vote-per-candidate rule. This practice is most often discussed in the context of historical or regional electoral procedures and is distinct from Kombinieren, which combines votes for multiple candidates.

In finance and economics, kumulierte Größen describe values that are accumulated over time, such as kumulierte Rendite (cumulative return) or kumulierte Zinsen, which track the total effect of interest or growth across a period.

Overall, kumulieren denotes the broader concept of accumulation, with specialized meanings in statistics, electoral law, and finance depending on the context.