Probabilistic Framework For A Time Series
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AUTHOR(S)
Siddamsetty Upendra
KEYWORDS
Stationary process , non-stationary process , assumptions of stationarity, stochastic models for time series , Review of related Literature, Equations , Basic definitions and notations.
ABSTRACT
This paper proposes probabilistic models of time series data in time series analysis. This accommodates models with a fitted drift and as time trend by defining the stationarity assumptions on time series to discriminate between stationarity and non-stationarity about a deterministic trend also defining the stochastic models for time series.
REFERENCES
[1] ANDERSON, T.W. (1971). THE STATISTICAL ANALYSIS OF TIME SERIES. John Wiley and Sons. Inc., New York.
[2] BARTLETT, M.S. (1966). AN INTRODUCTION TO STOCHASTIC PROCESSES WITH SPECIAL REFERENCE METHODS AND APPLICATIONS. (2/0) Cambridge University Press, Cambridge.
[3] DIANANDA, P.H. (1953). Some probability limit theorems with statistical applications. Proc. Cambridge Phil.
[4] FULLER, W.A. (1975). INTRODUCTION TO STATISTICAL TIME SERIES. John Wiley and Sons. Inc., New York.
[5] FULLER, W.A., HASZA, D.P. and GOEBEL, J.J. (1981). Estimation of the parameters of stochastic difference equations. Ann. Statist., 9, No.3, pp.531-543.
[6] HANNAN, E.J. (1960). TIME SERIES ANALYSIS, Methuen and Co., London.
[7] HANNAN, E.J. (1961). A central limit theorem for systems of regressions. Proc. Cambridge Phil.
[8] HANNAN, E.J. (1970). MULTIPLE TIME SERIES. John Wiley and Sons Inc., New York.
[9] LOEVE, M. (1963). PROBABILITY THEORY. D Van Nostrand Comp an., New York.
[10] VENKATARAMAN, K.N. (1972). Some limit theorems on linear stochastic models and their statistical applications, Sankhya, A 30, pp.51-74.
[11] VENKATARAMAN, K.N. (1974). Convergence theorems on the least square estimators of the structural parameters of a linear stochastic model. Ann. Inst. Statist. Math., 26, no.1, pp.61-85.
[12] VENKATARAMAN, K.N. (1980). Some theorems on a class of non-stationary linear stochastic processes. J. Ind. Statist. Assn., 18, pp.175-184.
[13] HANNAN, E.J. and NICHOLLS, D.F. (1972). The estimation of mixed regression, autoregression, moving averages and distributed lag models. Econometrica,40, pp.530-547.
[14] SCHMIDT, P. (1976). ECONOMETRICS, Marcel Dekker, Inc., New York.
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