Suppose F is the hypothetical distribution function of each X _ i.
2.
In statistics, the "'Khmaladze transformation "'is a mathematical tool used in constructing convenient goodness of fit tests for hypothetical distribution functions.
3.
In mathematics and statistics, an "'asymptotic distribution "'is a hypothetical distribution that is in a sense the " limiting " distribution of a sequence of distributions.
4.
Assuming a hypothetical distribution of values, one can immediately identify the position of \ mathbb { E } [ X ] and its image \ varphi ( \ mathbb { E } [ X ] ) in the graph.
5.
A classical problem in statistics is to decide how well a given hypothetical distribution function F, or a given hypothetical parametric family of distribution functions \ { F _ \ theta : \ theta \ in \ Theta \ }, fits the set of observations.
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