Description: A truncated distribution is a probability distribution that is modified by limiting its range, meaning it is restricted to a specific interval of values. This means that instead of considering all possible outcomes of a random variable, only those that fall within a certain range are taken into account. This modification may be necessary in situations where certain values are impossible or make no sense in the context of the problem. For example, in the case of a truncated normal distribution, values below a minimum threshold or above a maximum threshold can be eliminated. Truncated distributions are useful for modeling phenomena where extremes are not relevant or are excluded for practical reasons. Additionally, these distributions can be used to adjust statistical models and improve the accuracy of estimates by focusing on the range of interest. In summary, the truncated distribution allows for a more realistic representation of certain phenomena by eliminating values that are not relevant or possible, thus facilitating a more focused and effective analysis.
