Process 1: the weight of a bottle leaving a filling process
• Process 2: the time between failure of a machine
• Process 3: the check-in time at an airport
• Process 4: the number of orders for a product received at a warehouse from a retail outlet
Which statistical distributions would be most appropriate for modelling the following processes?
The negative exponential (or just exponential)
distribution has only one parameter, the mean.
• It is derived from the characteristics of purely
random arrival processes.
• As a result, it is used to sample time between events,
such as the inter-arrival time of customers and the
time between failure of machines.
• Note that there is a close relationship between the
negative exponential distribution and the Poisson
distribution, which can be used to sample the
number of events in an interval of time.