Produce list containing m-vectors delta and lambda, Mathematics

Assignment Help:

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

 


Related Discussions:- Produce list containing m-vectors delta and lambda

Polynomials, simplify the expression 3/5/64

simplify the expression 3/5/64

Proof of various integral facts- formulas, PROOF OF VARIOUS INTEGRAL FACTS/...

PROOF OF VARIOUS INTEGRAL FACTS/FORMULAS/PROPERTIES In this section we've found the proof of several of the properties we saw in the Integrals section and also a couple from t

Parseval theorem, Verify the Parseval theorem for the discrete-time signal ...

Verify the Parseval theorem for the discrete-time signal x(n) and its DFT from given equations. Compute the linear convolution of the discrete-time signal x(n) ={3, 2, 2,1} and

Definite integral, Definite Integral : Given a function f ( x ) which is c...

Definite Integral : Given a function f ( x ) which is continuous on the interval [a,b] we divide the interval in n subintervals of equivalent width, Δx , and from each interval se

Definite integral, from 0->1: Int sqrt(1-x^2) Solution) I=∫sqrt(1-x 2 ...

from 0->1: Int sqrt(1-x^2) Solution) I=∫sqrt(1-x 2 )dx = sqrt(1-x 2 )∫dx - ∫{(-2x)/2sqrt(1-x 2 )}∫dx ---->(INTEGRATION BY PARTS)        = x√(1-x 2 ) - ∫-x 2 /√(1-x 2 ) Let

What is the prime factorization of 84, What is the prime factorization of 8...

What is the prime factorization of 84? This is the only answer choice which has only PRIME numbers. A prime number is a number along with two and only two distinct factors. In

How many people said that red was their favorite color, In a recent survey ...

In a recent survey of 700 people, 15% said that red was their favorite color. How many people said that red was their favorite color? Find out 15% of 700 through multiplying 70

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd