A Note on the Consistency of the Undamped Exponential Signals Model

References

• Bai , Z. D. 1991 . Strong Consistency of Maximum Likelihood Parameter Estimation of Superimposed Exponential Signals in Noise . Theory Prob. Appl. , 36 ( 2 )
   Web of Science ®Google Scholar
• Hannan , E. J. 1971 . Nonlinear Time Series Regression . Jour. of Applied Probability , 8 : 767 – 780 .
   Web of Science ®Google Scholar
• Hannan , E. J. 1973 . The Estimation of Frequencies . Jour, of Applied Probability , 10 : 510 – 519 .
   Web of Science ®Google Scholar
• Jennrich , R. I. 1969 . Asymptotic Properties of Non-Linear Least Squares Estimation . Ann. Math. Slat. , 40 : 633 – 643 .
   Google Scholar
• Kundu , D. 1991 . Asymptotic Properties of the Complex Valued Non-Linear Regression Model . Communications in Stat. A , 20 ( 12 ) : 3793 – 3803 .
   Google Scholar
• Kundu , D. 1993a . Estimating the Parameters of Undamped Exponential Signals . Technometrics , 35 ( 2 ) : 215 – 218 .
   Web of Science ®Google Scholar
• Kundu , D. 1993b . Asymptotic Theory of Least Squares Estimator of a Particular Nonlinear Regression Model . Statistics and Probability Letters , 1 : 13 – 18 .
   Web of Science ®Google Scholar
• Rao , C. R. 1988 . “ Some Recent Results in Signal Detection ” . In Statistical Decision Theory and Related Topics IV Edited by: Gupta , S.S. and Berger , J.O. 319 – 332 .
   Google Scholar
• Rao , C. R. and Zhao , L. C. 1993 . Asymptotic Behavior of Maximum Likelihood Estimates of Superimposed Exponential Signals . IEEE Trans, on Signal Processing , 41 ( 3 ) : 1461 – 1464 .
   Web of Science ®Google Scholar
• Rice , J. A. and Rosenblatt , M. 1988 . On Frequency Estimation . Biometrika , 75 : 477 – 484 .
   Web of Science ®Google Scholar
• Walker , A M. 1971 . On the Estimation of Harmonic Component in a Time Series with Stationary Independent Residuals . Biometrika , 58 : 21 – 36 .
   Web of Science ®Google Scholar
• Wu , C. F. J. 1981 . Asymptotic Theory of Non-Linear Least Squares Estimation . Ann. Stat. , 9 : 501 – 513 .
   Web of Science ®Google Scholar