Poisson {countDM} | R Documentation |
MLE of the Poisson distribution
Description
Evaluates the MLE of the Poisson distribtion. The PMF of the Poisson distribution is as follows:
where parameter and it is equal to the expected or mean value of X and also to its variance.
Usage
mle_poisson (x, theta)
Arguments
x |
A vector of (non-negative integer) discrete values. |
theta |
A vector of (non-negative integer) values, |
Details
The function allows to estimate the unknown parameter of Poisson distribution with standard error of the estimate and model selection measure, the Akaike information criterion (AIC).
Value
mle_poisson gives the MLE along with standard error of the estimate and model selection measure AIC.
Author(s)
Muhammad Imran and M.H. Tahir.
R implementation and documentation: Muhammad Imran imranshakoor84@yahoo.com and M.H. Tahir <mht@iub.edu.pk>.
References
Frank A. Haight (1967). Handbook of the Poisson Distribution. New York: John Wiley & Sons.
See Also
Examples
x <- data_sbirth
mle_poisson (x, 0.2)