Truncated distributions

Sometimes it is required to limit a distribution within a specific domain or range and the result from restricting a distribution is called truncated distribution. These are useful when we can only record the events in a specified range or when a threshold is given:

Truncated distributions

This is the truncated distribution when it is restricted between two constants. In Julia, it is implemented as follows:

Truncated distributions

  1. The nontruncated case: −∞ = a, b = +∞.
  2. The lower truncated case: −∞ < a, b = +∞.
  3. The upper truncated case: −∞ = a, b < +∞.
  4. The doubly truncated ...

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