Inverse transform sampling question (b) Using the relation just above between the logistic and uniform distributions, as-sume that we have sampled, using the inversion method, a number N (very high)of samples (x;)i=1,,N of the logistic distribution Logistic (0, 1).State 3 different methods that could be used with the samples (x;); (possibly also withthe knowledge of F, F-1, the density function and whatever else you find necessary)to verify (graphically and/or with computable quantities) that the samples (x;); doindeed come from the logistic distribution Logistic (0,1).For each method give a very small explanation (no more than 1 or 2 lines) of whatyou are supposed to observe/find with the method you state that confirms that thesamples (x;); do indeed come from the logistic distribution Logistic (0,1). The Logistic (µ, B) distribution with mean µ e R and scale parameter ßE (0, 00) hasCDF F : R → [0, 1] given by1F(x):=x E R.1+e-(x-µ)/B³

Answered: The Logistic (µ, B) distribution with…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section: Chapter Questions

Problem 9CC

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The Logistic (µ, B) distribution with mean u e R and scale parameter ßE (0, 00) has CDF F : R → [0, 1] given by 1 F(x):= x E R. 1+e-(x-p)/B³