An important implication of this result is that if the regularity condition is not satisfied, the

maximum likelihood estimate does not exist, meaning the loss data sample under consideration does not support the lognormal model and a different model needs to be used.

From the results given in Table 3 we observed that

maximum likelihood estimates of time-invariant inefficiency effect for the election system type was statistically highly significant (0.

V-Co--efficient of variation Table 2

Maximum Likelihood Estimates of Stochastic Frontier Production Function Variable Co-efficient Std-error t-ratio Intercept -2.

In this study, we used a subsampling bootstrap approach to estimating

maximum likelihood estimates for common national effects for associations of individual pollutants with mortality.

0 Table 3:

Maximum Likelihood Estimate of the Parameters in Cobb-Douglas Stochastic Frontier Profit Function Model for Catfish Farmers in Benue State Variable Model 1 Model 2 Stochastic Frontier Profit Model Constant -1.

In the next section, we propose to estimate copula parameters using the local

maximum likelihood estimates.

In Illinois, Indiana, and Minnesota, suggestive but inconclusive evidence from the

maximum likelihood estimates indicated farmers may be more likely to use cover crops if they perceived a yield advantage (tables 1, 2, and 4).

To estimate the parameters for the Student distribution, we use

maximum likelihood estimates.

This is analogous to what an applied researcher would do in order to calculate standard errors if the

maximum likelihood estimates for the researcher's single observed sample happened to equal exactly the true values that had actually generated the data.

Assuming heterogeneity of variance-covariance matrices across groups, the

maximum likelihood estimate of the variance-covariance is

In the three experiments, the

maximum likelihood estimates of the competition parameter for one of the species were higher than one and less than one for the other species (Table 3), suggesting that in all experiments there were a "strong" and a "weak competitor.

The estimates thus obtained are unbiased and appear to be very close to, but are not,

maximum likelihood estimates (Brookfield, pers.