PoissonBinomial {demest} | R Documentation

## Specify a model based on a Poisson-binomial mixture.

### Description

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)

.

### Usage

    PoissonBinomial(prob)

### Arguments

`prob` | The probability that a person or event is correctly enumerated. A number between 0 and 1, and typically close to 1.

### Details

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.

### Value

An object of class `SpecLikelihood`.

### See Also

`PoissonBinomial` is typically used as part of a call to function `Model`.

### Examples

    PoissonBinomial(prob = 0.98)

[Package demest version 0.0.0.3.1 Index]