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A Journal of Theoretical and Applied Statistics
Volume 30, 1997 - Issue 3
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Original Articles

Asymptotic Theory of the Least Squares Estimators of Sinusoidal Signal

Debasis Kundu Indian Institute of Technology, Kanpur, India
Pages 221-238 | Received 25 Mar 1996, Accepted 16 Jun 1997, Published online: 27 Jun 2007

Citations (34)

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Read on this site (8)

Swagata Nandi & Debasis Kundu. (2023) Estimating parameters in multichannel fundamental frequency with harmonics model. Statistics 57:5, pages 1142-1164.
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Debasis Kundu. (2023) Weighted least squares: A robust method of estimation for sinusoidal model. Communications in Statistics - Theory and Methods 0:0, pages 1-19.
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Swagata Nandi & Debasis Kundu. (2013) Estimation of parameters of partially sinusoidal frequency model. Statistics 47:1, pages 45-60.
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Kai-Sheng Song & Ta-Hsin Li. (2011) Asymptotics of least squares for nonlinear harmonic regression. Statistics 45:4, pages 309-318.
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J. W. Bian, H. W. Li & H. M. Peng. (2009) An efficient and fast algorithm for estimating the frequencies of superimposed exponential signals in zero-mean multiplicative and additive noise. Journal of Statistical Computation and Simulation 79:12, pages 1407-1423.
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Debasis Kundu & Swagata Nandi. (2006) On discrete-domain multidimensional sinusoidal models. Statistics 40:2, pages 129-147.
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Swagata Nandi, Debasis Kundu & Srikanth K. Iyer. (2004) Amplitude modulated model for analyzing non-stationary speech signals. Statistics 38:5, pages 439-456.
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Naveen K. Bansal & Debasis Kundu. (2002) POISSON REGRESSION WITH A PERIODIC FUNCTION. Communications in Statistics - Theory and Methods 31:7, pages 1123-1136.
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Articles from other publishers (26)

Debasis Kundu. (2024) On robust method of estimation in polynomial-sinusoidal regression. Signal Processing 217, pages 109328.
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Debasis Kundu. (2024) Robust parameter estimation in two-channel sinusoidal frequency model. Franklin Open 6, pages 100059.
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Getut Pramesti. (2023) Parameter least-squares estimation for time-inhomogeneous Ornstein–Uhlenbeck process. Monte Carlo Methods and Applications 29:1, pages 1-32.
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Swagata Nandi & Debasis KunduSwagata Nandi & Debasis Kundu. 2020. Statistical Signal Processing. Statistical Signal Processing 115 141 .
Erik Grafarend & Joseph AwangeErik W. Grafarend & Joseph L. Awange. 2012. Linear and Nonlinear Models. Linear and Nonlinear Models 411 417 .
Erik Grafarend & Joseph AwangeErik W. Grafarend & Joseph L. Awange. 2012. Linear and Nonlinear Models. Linear and Nonlinear Models 383 410 .
Erik Grafarend & Joseph AwangeErik W. Grafarend & Joseph L. Awange. 2012. Linear and Nonlinear Models. Linear and Nonlinear Models 305 360 .
Erik Grafarend & Joseph AwangeErik W. Grafarend & Joseph L. Awange. 2012. Linear and Nonlinear Models. Linear and Nonlinear Models 263 304 .
Erik Grafarend & Joseph AwangeErik W. Grafarend & Joseph L. Awange. 2012. Linear and Nonlinear Models. Linear and Nonlinear Models 183 261 .
Erik Grafarend & Joseph AwangeErik W. Grafarend & Joseph L. Awange. 2012. Linear and Nonlinear Models. Linear and Nonlinear Models 89 182 .
Erik Grafarend & Joseph AwangeErik W. Grafarend & Joseph L. Awange. 2012. Linear and Nonlinear Models. Linear and Nonlinear Models 81 88 .
Erik Grafarend & Joseph AwangeErik W. Grafarend & Joseph L. Awange. 2012. Linear and Nonlinear Models. Linear and Nonlinear Models 527 569 .
Erik Grafarend & Joseph AwangeErik W. Grafarend & Joseph L. Awange. 2012. Linear and Nonlinear Models. Linear and Nonlinear Models 493 525 .
Erik Grafarend & Joseph AwangeErik W. Grafarend & Joseph L. Awange. 2012. Linear and Nonlinear Models. Linear and Nonlinear Models 477 491 .
Erik Grafarend & Joseph AwangeErik W. Grafarend & Joseph L. Awange. 2012. Linear and Nonlinear Models. Linear and Nonlinear Models 461 475 .
Erik Grafarend & Joseph AwangeErik W. Grafarend & Joseph L. Awange. 2012. Linear and Nonlinear Models. Linear and Nonlinear Models 419 441 .
Erik Grafarend & Joseph AwangeErik W. Grafarend & Joseph L. Awange. 2012. Linear and Nonlinear Models. Linear and Nonlinear Models 1 80 .
Sharmishtha Mitra, Amit Mitra & Debasis Kundu. (2011) Genetic algorithm and M-estimator based robust sequential estimation of parameters of nonlinear sinusoidal signals. Communications in Nonlinear Science and Numerical Simulation 16:7, pages 2796-2809.
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Amit Mitra & Debasis Kundu. (2010) Genetic algorithms based robust frequency estimation of sinusoidal signals with stationary errors. Engineering Applications of Artificial Intelligence 23:3, pages 321-330.
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Ta-Hsin Li & Kai-Sheng Song. (2008) On Asymptotic Normality of Nonlinear Least Squares for Sinusoidal Parameter Estimation. IEEE Transactions on Signal Processing 56:9, pages 4511-4515.
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Anurag Prasad, Debasis Kundu & Amit Mitra. (2008) Sequential estimation of the sum of sinusoidal model parameters. Journal of Statistical Planning and Inference 138:5, pages 1297-1313.
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Swagata Nandi & Debasis Kundu. (2006) Analyzing non-stationary signals using generalized multiple fundamental frequency model. Journal of Statistical Planning and Inference 136:11, pages 3871-3903.
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Debasis Kundu & Swagata Nandi. (2005) Estimating the Number of Components of the Fundamental Frequency Model. JOURNAL OF THE JAPAN STATISTICAL SOCIETY 35:1, pages 41-59.
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Debasis Kundu & Swagata Nandi. (2004) A note on estimating the fundamental frequency of a periodic function. Signal Processing 84:3, pages 653-661.
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Debasis Kundu & Swagata Nandi. (2003) Determination of Discrete Spectrum in a Random Field. Statistica Neerlandica 57:2, pages 258-284.
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Swagata Nandi, Srikanth K. Iyer & Debasis Kundu. (2002) Estimation of frequencies in presence of heavy tail errors. Statistics & Probability Letters 58:3, pages 265-282.
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