Consider a random variable (x) following the standard logistic distribution with the (mathrm{CDF}) and PDF given in
Question:
Consider a random variable \(x\) following the standard logistic distribution with the \(\mathrm{CDF}\) and PDF given in (4.3) and (4.4).
(a) Show that the PDF in (4.4) is symmetric about 0.
(b) Show that CDF in (4.3) is strictly increasing on \((-\infty, \infty)\).
(c) Plot the CDF in (4.3) and verify that it is S shaped.
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Related Book For
Applied Categorical And Count Data Analysis
ISBN: 9780367568276
2nd Edition
Authors: Wan Tang, Hua He, Xin M. Tu
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