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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
8.5cm square = m square
Characteristics of Time Series Time series has the given characteristics. a) A long term trend (T) -tendency of the whole series to fall and rise. b) Seasonal variati
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For a population with a mean of μ=70 and a standard deviation of o=20, how much error, on average, would you expect between the sample mean (M) and the population mean for each of
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Find the circumference of a circle whose area is 16 times the area of the circle with diameter 7cm (Ans: 88cm) Ans: Π R 2 = 16 Π r 2 R 2 = 16 r 2
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In addition and subtraction we have discussed 1) Some ways of conveying the meaning of the operations of addition and subtraction to children. 2) The different models o
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