Why might the exponential family of distributions be important? In other words, if areal-world application turned...

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Why might the exponential family of distributions be important?In other words, if areal-world application turned out to have adistribution which is of this family, what interesting results orconvenient truths might that bring to the table?

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Exponential family is the biggest family of distributions and thus giving it a base for majority of the real life problems related to statistics Most of the commonly used distributions form an exponential family or subset of an exponential family are normal exponential    See Answer
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