The choice of the probability distribution for a random variable can be guided by which of the…

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➤ Why does the forecasting objective affect distribution choice?
The forecasting objective defines what aspects of the distribution matter. Point forecasts emphasize mean and variance, while predictive intervals require accurate tail behavior. Risk-focused goals need heavy-tailed or skewed models. Align the chosen family with the loss function and the decision context to improve forecast accuracy and useful uncertainty quantification.

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