Suppose that the number of new cases of a medical condition observed each week can be modelled using a negative binomial distribution with parameters q and r. q is unknown, while r is known. We observe n weeks’ worth of data, and the number of cases each week was y1, . . . , yn. Show that a beta distribution provides a conjugate prior distribution for q, and find the posterior distribution with such a prior.

Suppose that the number of new cases of a medical condition observed each week can be modelled using a negative binomial distribution with parameters q and r. q is unknown, while r is known. We observe n weeks’ worth of data, and the number of cases each week was y1, . . . , yn. Show that a beta distribution provides a conjugate prior distribution for q, and find the posterior distribution with such a prior.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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