Sentence examples for boundary of the parameter from inspiring English sources

It is well known that likelihood inference in mixture models is complicated due to 1) lack of point identification, and 2) parameters (for example, mixing probabilities) whose true value may lie on the boundary of the parameter space.

The approach is based on the probability density of the LS estimators, and takes into account the boundary of the parameter space.

Finally, if is on the boundary of the parameter space and points outside the space, the search terminates.

The first step is to find the line segment (or "line" for brevity) that runs in the direction from to the boundary of the parameter space.

In all cases the null hypothesis falls on the boundary of the parameter space as can be seen from Eq. (38) to Eq. (47).

The preceding matrix is positive semi-definite and H 0 falls on the boundary of the parameter spaces Ω 4 and Ω 7. As before the distribution of the likelihood ratio statistics is not the expected χ 2 distribution.

If the restriction is τ = 0, then β 2 drops out of the model with the additional problem that the hypothesised value of τ is on the boundary of the parameters space.

In addition, we determine the boundaries of the parameter regions in which five solutions exist in either cylindrical or spherical pellets.

We do not change the genes with a value more than that of PM, but, we replace the genes with a value less than that of PM with a new random value within the boundaries of the parameter.

Here, the boundaries of the parameter confidence region can exhibit arbitrarily complex shape and are usually difficult to translate into boundaries for the prediction confidence intervals.

Poisson regression, however, can also present problems when the estimates are on the boundaries of the parameter space, as mentioned above.