Description Usage Arguments Value Note References See Also Examples
Calculates the log-likelihood based on a binomial distribution of observing a set of age-specific probabilities of death resulting from a set of eight parameters of the Heligman-Pollard Model given a certain number of age-specific death counts and persons at risk
1 |
theta |
A vector containing the values for the 8 Heligman-Pollard parameters |
nrisk |
A vector containing the number of persons at risk in each age group |
ndeath |
A vector containing the number of deaths in each age group |
age |
A vector containing the age values of which the probabilities of death resulting from the HP model are a function |
Log likelihood of observing the resulting probabilities of death calculated from the set of parameters, theta
For use in the optimizer step of the IMIS procedure
Heligman, Larry and John H. Pollard. 1980 "The Age Pattern of Mortality." Journal of the Institute of Actuaries 107:49–80.
1 2 3 4 5 6 7 8 9 | ##A set of parameters##
theta <- c(0.06008, 0.31087, 0.34431, 0.00698,
1.98569, 26.71071, 0.00022, 1.08800)
##Deaths and persons at risk##
lx <- c(1974, 1906, 1860, 1844, 1834, 1823, 1793, 1700, 1549, 1361,
1181, 1025, 870, 721, 571, 450, 344, 256, 142, 79, 41, 8)
dx <- c(68, 47, 16, 10, 13, 29, 92, 151, 188, 179, 156, 155, 147, 150,
122, 106, 88, 113, 63, 38, 32, 8)
mp8.ll(theta=theta, nrisk=lx, ndeath=dx)
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