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Explain Direct Transformation method for random variate generation using Normal and Lognormal distribution.
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Given std. normal variable z ? N (0,1). we can obtain $X \sigma N ( \mu, 6^2)$ by setting $x = \mu + 6^2$

consider 2 std. normal variables 2, and Z2, plotted as a point in the plane as shown below:

enter image description here

$Z_1 = Bcas \theta Z_2 = Bsin \theta$ …

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