Let x1.x2... xn be a random sample
from Poisson distribution with the parameter lamda
f(x.lamda ) = lamda^x e^-lamda /x !

Find:
1- A suitable natural conjugate prior of lamda
2- The corresponding posterior density
function of lamda
3- The Bayes estimate of lamda

Question

06-10-2022
Mathematics

Answered

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Let x1.x2... xn be a random sample
from Poisson distribution with the parameter lamda
f(x.lamda ) = lamda^x e^-lamda /x !

Find:
1- A suitable natural conjugate prior of lamda
2- The corresponding posterior density
function of lamda
3- The Bayes estimate of lamda

Sagot :

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Let x1.x2... xn be a random sample from Poisson distribution with the parameter lamda f(x.lamda ) = lamda^x e^-lamda /x ! Find: 1- A suitable natural conjugate prior of lamda 2- The corresponding posterior density function of lamda 3- The Bayes estimate of lamda

Sagot :

Other Questions

Let x1.x2... xn be a random sample
from Poisson distribution with the parameter lamda
f(x.lamda ) = lamda^x e^-lamda /x !

Find:
1- A suitable natural conjugate prior of lamda
2- The corresponding posterior density
function of lamda
3- The Bayes estimate of lamda