Risk-efficient sequential estimation of multivariate random coefficient autoregressive process

References

• Andel, J. (1976). Autoregressive Series with Random Parameters, Mathematische Operationsforschung und Statistik 7: 735–741.
   Google Scholar
• Anscombe, F. J. (1952). Large-Sample Theory of Sequential Estimation, Mathematical Proceedings of Cambridge Philosophical Society 48: 600–607.
   Web of Science ®Google Scholar
• Basu, A. K. and Das, J. K. (1997). Sequential Estimation of the Autoregressive Parameters in AR(p) Model, Sequential Analysis 16: 1–24.
   Google Scholar
• Basu, A. K. and Mukhopadhyay, I. (1999). Sequential Estimation of the Autoregressive Parameters in General Vector Autoregressive Model, Sankhyā, Series A 61: 241–253.
   Google Scholar
• Basu, A. K. and Mukhopadhyay, I. (2003). On Sequential Estimation and Confidence Sequences for Random Coefficient Autoregressive Parameter, Stochastic Modelling and Applications 6: 48–60.
   Google Scholar
• Basu, A. K. and Sen Roy, S. (1990). On Some Asymptotic Prediction Problems in Random Coefficient Multivariate Autoregressive Model, Journal of Indian Statistical Association 28: 17–29.
   Google Scholar
• Chow, Y. S. and Robbins, H. (1965). On Optimal Stopping Rules for Sn/n, Illinois Journal of Mathematics 9: 444–454.
   Web of Science ®Google Scholar
• Chow, Y. S., Robbins, H., and Siegmund, D. (1971). Great Expectations: The Theory of Optimal Stopping, Boston: Houghton Mifflin.
   Google Scholar
• Conlisk, J. (1974). Stability in a Random Coefficient Model, International Economic Review 15: 529–533.
   Google Scholar
• Conlisk, J. (1976). A Further Note on Stability in a Random Coefficient Model, International Economic Review 17: 759–764.
   Google Scholar
• Dobrovidov, A. V., Koshkin, G. M., and Vasiliev, V. A. (2012). Non-Parametric State Space Models, Heber City: Kendrick Press.
   Google Scholar
• Karmakar, B. and Mukhopadhyay, I. (2018). Risk Efficient Estimation of Fully Dependent Random Coefficient Autoregressive Models of General Order, Communications in Statistics-Theory & Methods 47: 4242–4253.
   Web of Science ®Google Scholar
• Kashkovsky, D. V. and Konev, V. V. (2008). Sequential Estimates of the Parameters in a Random Coefficient Autoregressive Process, Optoelectronics, Instrumentation and Data Processing 44: 52–61.
   Google Scholar
• Kendall, M. G. (1953). The Analysis of Economic Time Series–Part I: Prices, Journal of Royal Statistical Society, Series A 116: 11–34.
   Google Scholar
• Kusainov, M. I. and Vasiliev, V. A. (2015). On Optimal Adaptive Prediction of Multivariate Autoregression, Sequential Analysis 34: 211–234.
   Web of Science ®Google Scholar
• Ljung, L. and Söderström, T. (1983). System Identification Theory for the User, Upper Saddle River: Prentice Hall.
   Google Scholar
• Malyarenko, A. A. and Vasiliev, V. A. (2012). On Parameter Estimation of Partly Observed Bilinear Discrete-Time Stochastic Systems, Metrika 75: 403–424.
   Web of Science ®Google Scholar
• Mukhopadhyay, N. and de Silva, B. M. (2009). Sequential Methods and Their Applications, Boca Raton: CRC.
   Google Scholar
• Nicholls, D. F. and Quinn, B. G. (1982). Random Coefficient Autoregressive Models: An Introduction, New York: Springer.
   Google Scholar
• Politis, D. N. and Vasiliev, V. A. (2013). Non-Parametric Sequential Estimation of a Regression Function Based on Dependent Observations, Sequential Analysis 32: 243–266.
   Web of Science ®Google Scholar
• Ray, D. (1983). On the Autoregressive Models with Random Coefficients, Calcutta Statistical Association Bulletin 32: 127–128.
   Google Scholar
• Samaranayake, V. A. and Hasza, D. P. (1986). Properties of Predictors for Multivariate Autoregressive Models with Estimated Parameters, University of Missouri-Rolla, Technical Report.
   Google Scholar
• Sriram, T. N. (1988). Sequential Estimation of the Autoregressive Parameters in a First Order Autoregressive Process, Sequential Analysis 7: 53–74.
   Google Scholar
• Woodroofe, M. (1982). Nonlinear Renewal Theory in Sequential Analysis, Philadelphia: STAM.
   Google Scholar