Question: Why we could use Anderson-Darling test statistic to test whether a distribution is exponential distribution and what are the roles played by the three terms

Why we could use Anderson-Darling test statistic to test whether a distribution is exponential distribution and what are the roles played by the three terms in this equation ?(Denominator, numerator and fX(y;theta) )

+0o ( F( ) - Fx(v; 0))2 TAD (X1 , . .. , Xn) = n Fx(y; 0) (1 - Fx(y; 0)) fx (v; 0) dy, - OO

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