Consider the probability function of the (????) distribution i) Show that f (x) can be calculated via
Question:
Consider the probability function of the (????) distribution
i) Show that f (x) can be calculated via the recursion
where a = 0 and b = ????, with initial condition f (0) = e−????.
(ii) Verify that f (x) > f (x − 1) if and only if x (iii) Prove that
(a) if ???? is not an integer, then f attains its maximum value at the point x0 = [????];
(b) if ???? is a positive integer, then f has two maxima, attained at the points x0 = ???? and x′0 = ???? − 1.
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Related Book For
Introduction To Probability Volume 2
ISBN: 9781118123331
1st Edition
Authors: Narayanaswamy Balakrishnan, Markos V. Koutras, Konstadinos G. Politis
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