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With Bernoulli-based distributions, you considered the number of successes in a fixed number of trials (Binomial) or the number of trials until obtaining a fixed number of successes (Negative Binomial/Geometric). For each of these, everything was discrete--trials and successes. Another option is to investigate the relationship between number of successes (or "changes") relative to some interval of time. That is, the number of trials for Bernoulli-based distributions is replace with an interval of time. This approach involves the discrete number of changes with a continuous interval of time.
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