Assume that the counting processes have intensity processes of the form where the Yi(t) are at risk indicators. a) Find the log-likelihood function, and derive the score functions for b and θ. b)...

Assume that the counting processes

have intensity processes of the form

where the Y_i(t) are at risk indicators.

a) Find the log-likelihood function, and derive the score functions for b and θ.

b) Derive the observed and expected information matrices. Do they coincide?