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OALib Journal期刊
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ON ASYMPTOTIC DISTRIBUTION OF ESTIMATED EMPIRICAL PROCESSES IN TRUNCATED DISTRIBUTION FAMILIES
关于截断型分布族中估计的经验过程的渐近分布的进一步研究

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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.

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