A Test for Superadditivity of the Mean Value Function of a Non-Homogeneous Poisson Process.
FLORIDA STATE UNIV TALLAHASSEE DEPT OF STATISTICS
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Let Nt be a non-homogeneous Poisson process with mean value function Lambdat and rate of occurrence lambdat. The author a conditional test of the hypothesis that the process is homogeneous, versus alternatives for which the mean value function is superadditive. Specific models leading to superadditivity are presented, and the superadditive test is compared, on the basis of consistency and asymptotic relative efficiency, with the Cox-Lewis test the latter is directed to alternatives where lambdat is increasing. Author
- Statistics and Probability