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The logarithm of the Poisson mixture likelihood (3.10) can be calculated with the following R code:
sum(log(outer(x,lambda,dpois) %*% delta)),
where delta and lambda are m-vectors containing the δc and λc parameters and x is a vector of n observations.
(a) Explain this code.
(b) Write an R function called pois.mix.pn2pw to transform delta and lambda to a vector parvect of 2m - 1 working parameters, following (3.15, 3.16).
(c) Write an R function called pois.mix.pw2pn for the inverse transformation (3.17, 3.18), to produce a list containing m-vectors delta and lambda.
(d) Using these functions, write a further function called pois.mix.negllk to calculate the negative log of the Poisson mixture likelihood, evaluated at a given
If ABCD isaa square of side 6 cm find area of shaded region
In the previous section we looked at the method of undetermined coefficients for getting a particular solution to p (t) y′′ + q (t) y′ + r (t) y = g (t) .....................
The product of -7ab and +3ab is (-7 x 3) a 2 b 2 = -21a 2 b 2 . In other words, a term with minus sign when multiplied with a term having a positive sign, gives a product having
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