|
系统科学与数学 1988
ON ASYMPTOTIC DISTRIBUTION OF ESTIMATED EMPIRICAL PROCESSES IN TRUNCATED DISTRIBUTION FAMILIES
|
Abstract:
This paper constructs three classes of estimated.empirical processes for three kinds oftruncated distribution families respectively,proves that these estimated empirical processes con-verge to the Brownian Bridge in distribution,and gives convergence rates of the differencesbetween the estimatd empirical processes and empirical processes to be estimated.The resultof Durbin is improved in some way.