Maximum Likelihood Estimate
of Cobb-Douglas Stochastic Frontier Model:
Using the maximum likelihood estimates
of the parameters of the normal and Student distributions, gives cumulative probabilities for this observation of .
The maximum likelihood estimate of the parameter of the exponential distribution based on 106 simulated individual claim amounts is [Mathematical Expression Omitted].
The maximum likelihood estimate of the parameter of the exponential distribution based on 515 simulated individual claim mounts is [Mathematical Expression Omitted].
Comment 1: The most significant point about the MNL Model (5) is that the maximum likelihood estimates of [[alpha].
6) However, under certain assumptions regarding the latent variable z, in particular, that it is purely familial, (7) we can estimate a 'within-family deviation' version of the MNL model where the maximum likelihood estimates would not be biased.
Table 2 shows the maximum likelihood estimates in the context of its productive efficiency.
The maximum likelihood estimates for productive efficiency show that in the single output case, parameter of capital input is positive and statistically significant.
METHODS: We used a subsampling bootstrap procedure to obtain the maximum likelihood estimates and confidence bounds for common national effects of the criteria pollutants, as measured by the percentage increase in daily mortality associated with a unit increase in daily 24-hr mean pollutant concentration on the previous day, while controlling for weather and temporal trends.
The means of the 5,000 maximum likelihood estimates of the common pollutant effects were approximately unbiased and consistent estimators of the common national effects of the pollutants.
Table 3 summarized the result of the maximum likelihood estimates
of the parameters in the Cobb-Douglas stochastic profit frontier function (model 2) and the conventional Cobb-Douglas profit model (model 1).
1959): "On the Finite Sample Distributions of Maximum Likelihood Estimates
in Structural Equations," (mimeographed).