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Statisticians frequently assume that data follow a normal distribution when developing statistical methods and performing practical data analysis. In most introductory statistics textbooks, the ...

The normal distribution is a continuous probability distribution that is symmetrical, bell-shaped, and centred around its mean. It is one of the most important distributions in statistics because many ...

Skew‐normal distributions extend the traditional normal model by incorporating a parameter that accounts for asymmetry, thereby providing a more flexible framework for modelling real‐world data.

Let X1, ·, Xn be n independent random vectors, Xν = (X(1) ν, ⋯, X(r) ν), and Φ(x1, ⋯, xm) a function of m(≤ n) vectors $x_\nu = (x^{(1)}_\nu, \cdots, x^{(r ...

This paper deals with the order statistics from the normal distribution. Equations are obtained for the percentage points and the modal values of the kth order statistic in a sample of size n. Table I ...