Sankhya: The Indian Journal of Statistics

1999, Volume 61, Series A, Pt. 2, 270--275

A NOTE ON THE CONSISTENCY OF MULTIDIMENSIONAL EXPONENTIAL SIGNALS

By

Z.D. BAI National Sun Yat-Sen University, Kaohsing
and
DEBASIS KUNDU, AMIT MITRA Indian Institute of Technology, Kanpur

SUMMARY.In this note we present a result in probability which does not exist as it is in the literature of probability theory. We show that this result can be used to prove the consistency of the least squares estimates of the multidimensional exponential signals model under weaker assumptions than that exists in the literature.

AMS (1991) subject classification. 62F12, 62M10.

Key words and phrases. Multidimensional exponential signals, almost sure convergence.

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