tellehendinger

Tellehendinger is a term used in probability theory and statistics to describe discrete events that are counted within a defined observation window. The resulting count is a non‑negative integer random variable, and counts of this type form the basis of many counting processes used in reliability, queuing, and epidemiology.

Modeling: When events occur independently and with a constant average rate, the number of events in a fixed interval is often modeled by a Poisson process, so that N in an interval of length t follows a Poisson distribution with mean λ t. If a fixed number of trials n is observed, each with probability p of the event, the count N follows a Binomial(n, p).

Etymology and usage: The term derives from Norwegian 'telle' to count and 'hendelser' (events) and is used in Norwegian-language statistics literature to denote such counts, though the underlying theory is standard across languages.

Applications: Tellehendinger are used to model arrivals in service systems, defect counts in manufacturing, calls to a call center, website clicks, and other phenomena where occurrences are counted over time or across trials.

See also: Poisson process, counting process, Poisson distribution, binomial distribution, renewal theory; further reading includes standard texts on probability and statistics.