I've already estimated the technical efficiency model, technical inefficiency effects model, and got the values of log likelihood, σ2, γ, and I just want to test the hypotheses concerning the model parameters.

Attached is an example of a table containing the results of a stochastic frontier model (Cobb-Douglas production function), in addition to the results of the technical inefficiency effects model (10 business environment variables (Zi)). Could you please, given the estimated parameters in table (1) tell me how to test the following hypothesis:

1. Cobb-Douglas does not the appropriate production function form

(H0: β3 = β4 = β5 = 0)

2. No Technical inefficiency effects

(H0: γ = δ1 = δ2 = …= δ10 = 0)

3. No stochastic inefficiency

(H0: γ = 0)

4. No joint inefficiency variables

(H0: δ1 = δ2 = …= δ10 = 0)

Thank you very much in advance for this valuable help.