| PoissonBinomial {demest} | R Documentation |
Specify a model of the form
y_i = U_i + V_i
U_i \sim Poisson((1-p) n_i)
V_i \sim binomial(n_i, p)
.
PoissonBinomial(prob)
prob |
The probability that a person or event is correctly enumerated. A number between 0 and 1, and typically close to 1. |
The model is useful mainly as a way of representing the relationship between a true set of counts (the n_i) and measurements of those counts (the y_i.) For instance, n_i could be true counts of births, and y_i could be births recorded in an accurate births registration system.
Subscript i denotes a cell within a classification defined by variables such as age, sex, and time. For instance cell i might be 30-34 year old females in 2020.
Higher values of p imply greater accuracy; p can be interpreted as the probability that a person or event is enumerated in the correct cell i.
One limitation of the model is that it does not allow for the possibility that y_i > 0 when n_i = 0. In other words, it does not allow for the possibility that a person or event is erroneously enumerated in a cell that has no people or events.
An object of class SpecLikelihood.
PoissonBinomial is typically used as
part of a call to function Model.
PoissonBinomial(prob = 0.98)