Select the best possible answer among the choices and show your solutions. Put a box on your final answer. 1. Let x1,x2,...,xn be a sample from a geometric distribution with probability 8, i.e., f(x₁0) 0(1-0). The likelihood is given by n) = II f(x0). Determine a conjugate prior for 8 from the function. The standardized likelihood is the same as what parameter L(0 x1, x2, likelihood distribution? = (Note: the kernel of the likelihood function is the part of the function that contains the parameter 8). a. Beta(a + 1,ß + x₁) b. Beta (x₁+ B,n + a) c. Beta(a + x₁,ß + n- - Px₁) d. Beta(n + a,²x₁ + B)|
Select the best possible answer among the choices and show your solutions. Put a box on your final answer. 1. Let x1,x2,...,xn be a sample from a geometric distribution with probability 8, i.e., f(x₁0) 0(1-0). The likelihood is given by n) = II f(x0). Determine a conjugate prior for 8 from the function. The standardized likelihood is the same as what parameter L(0 x1, x2, likelihood distribution? = (Note: the kernel of the likelihood function is the part of the function that contains the parameter 8). a. Beta(a + 1,ß + x₁) b. Beta (x₁+ B,n + a) c. Beta(a + x₁,ß + n- - Px₁) d. Beta(n + a,²x₁ + B)|
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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Transcribed Image Text:Select the best possible answer among the choices and show your solutions. Put a
box on your final answer.
1. Let x1,X2,...,Xn be a sample from a geometric distribution with probability
e(1 - e)*. The likelihood is given by
parameter 0, i.e., f(x||0)
L(0\x1,x2, .., "n) = II"-1 f(xi|0). Determine a conjugate prior for 0 from the
likelihood function. The standardized likelihood is the same as what
distribution?
(Note: the kernel of the likelihood function is the part of the function that
contains the parameter 0).
a. Beta(a + 1,B + x;)
b. Beta('x; + B,n + a)
c. Beta(a + Pxi,B + n - Px)
d. Beta(n + a,'x¡ + B)
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