메뉴 건너뛰기




Volumn 11, Issue 4, 1998, Pages 1111-1133

Discrete Spectrum of Nonstationary Stochastic Processes on Groups

Author keywords

Almost periodic Fourier transform; Asymptotically stationary process; Spectral measure

Indexed keywords


EID: 0032283246     PISSN: 08949840     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022625117616     Document Type: Article
Times cited : (10)

References (27)
  • 4
    • 0001840091 scopus 로고
    • Bimeasures and nonstationary processes
    • Rao, M. M. (ed.) John Wiley, New York
    • Chang, D. K., and Rao, M. M. (1986). Bimeasures and nonstationary processes. In Rao, M. M. (ed.), Real and Stochastic Analysis, John Wiley, New York, pp. 7-118.
    • (1986) Real and Stochastic Analysis , pp. 7-118
    • Chang, D.K.1    Rao, M.M.2
  • 7
    • 84968497710 scopus 로고
    • Abstract ergodic theorems and weak almost periodic functions
    • Eberlein, W. F. (1949). Abstract ergodic theorems and weak almost periodic functions. Trans. Amer. Math. Soc. 67, 217-240.
    • (1949) Trans. Amer. Math. Soc. , vol.67 , pp. 217-240
    • Eberlein, W.F.1
  • 8
    • 84968504988 scopus 로고
    • A note on Fourier-Stieltjes transforms
    • Eberlein, W. F. (1955). A note on Fourier-Stieltjes transforms. Proc. Amer. Math. Soc. 6, 310-312.
    • (1955) Proc. Amer. Math. Soc. , vol.6 , pp. 310-312
    • Eberlein, W.F.1
  • 9
    • 0011044631 scopus 로고
    • The point spectrum of weakly almost periodic functions
    • Eberlein, W. F. (1955-1956). The point spectrum of weakly almost periodic functions. Michigan Math. J. 3, 137-139.
    • (1955) Michigan Math. J. , vol.3 , pp. 137-139
    • Eberlein, W.F.1
  • 10
    • 84963421229 scopus 로고
    • Consistent estimation of spectral measure discrete component for a class of random process
    • Hanin, L. G., and Schwarz, M. A. (1992). Consistent estimation of spectral measure discrete component for a class of random process. Nonparametric Statist. 2, 81-87.
    • (1992) Nonparametric Statist. , vol.2 , pp. 81-87
    • Hanin, L.G.1    Schwarz, M.A.2
  • 11
    • 0003962321 scopus 로고
    • Abstract Harmonic Analysis, Volume 1
    • Springer-Verlag, Berlin
    • Hewitt, E., and Ross, K. A. (1963). Abstract Harmonic Analysis, Volume 1, Grudl. der Math. Wiss., Vol. 115, Springer-Verlag, Berlin.
    • (1963) Grudl. der Math. Wiss. , vol.115
    • Hewitt, E.1    Rossk, A.2
  • 12
    • 50749133725 scopus 로고
    • Correlation theory of almost periodically correlated processes
    • Hurd, H. L. (1991). Correlation theory of almost periodically correlated processes. J. Multivariate Anal. 37, 24-45.
    • (1991) J. Multivariate Anal. , vol.37 , pp. 24-45
    • Hurd, H.L.1
  • 13
    • 84911298649 scopus 로고
    • Strongly consistent and asymptotically normal estimation of the covariance for almost periodically correlated processes
    • Hurd, H. L., and Léskow, J. (1992). Strongly consistent and asymptotically normal estimation of the covariance for almost periodically correlated processes. Statist. Decisions 10, 201-225.
    • (1992) Statist. Decisions , vol.10 , pp. 201-225
    • Hurd, H.L.1    Léskow, J.2
  • 14
    • 0037638281 scopus 로고
    • Correlation and spectra for nonstationary random functions
    • Kampé de Fériet, J., and Frenkiel, F. N. (1962). Correlation and spectra for nonstationary random functions. Math. Comput. 16, 1-21.
    • (1962) Math. Comput. , vol.16 , pp. 1-21
    • Kampé De Fériet, J.1    Frenkiel, F.N.2
  • 15
    • 0041744157 scopus 로고
    • Almost periodic weakly stationary processes
    • Kallianpur, G., and Krishnaiah, P. R. (eds.) North-Holland, Amsterdam
    • Kawata, T. (1982). Almost periodic weakly stationary processes. In Kallianpur, G., and Krishnaiah, P. R. (eds.), Statistics and Probability: Essays in Honor of C. R. Rao, North-Holland, Amsterdam, pp. 383-396.
    • (1982) Statistics and Probability: Essays in Honor of C. R. Rao , pp. 383-396
    • Kawata, T.1
  • 16
    • 0001643771 scopus 로고
    • Asymptotic normality of the spectral density estimators for almost periodically correlated stochastic processes
    • Léskow, J. (1994). Asymptotic normality of the spectral density estimators for almost periodically correlated stochastic processes. Stochastic Proc. Appl. 52, 351-360.
    • (1994) Stochastic Proc. Appl. , vol.52 , pp. 351-360
    • Léskow, J.1
  • 19
    • 0043246929 scopus 로고
    • 2-processes with applications to linear prediction
    • 2-processes with applications to linear prediction. Bol. Soc. Mat. Mexicana 28, 15-29.
    • (1983) Bol. Soc. Mat. Mexicana , vol.28 , pp. 15-29
    • Niemi, H.1
  • 20
    • 0002600860 scopus 로고
    • Spectral analysis of asymptotically stationary time series
    • Parzen, E. (1962). Spectral analysis of asymptotically stationary time series. Bull. Inst. Int. Statist. 39(2), 87-103.
    • (1962) Bull. Inst. Int. Statist. , vol.39 , Issue.2 , pp. 87-103
    • Parzen, E.1
  • 22
    • 0000291780 scopus 로고
    • Harmonizable processes: Structure theory
    • Rao, M. M. (1982). Harmonizable processes: Structure theory. L'Enseignement Math. 28(2), 295-351.
    • (1982) L'Enseignement Math. , vol.28 , Issue.2 , pp. 295-351
    • Rao, M.M.1
  • 23
    • 0037776101 scopus 로고
    • Harmonizable, Cramér, and Karhunen classes of processes
    • Hannan, E. J., Krishnaiah, P. R., and Rao, M. M. (eds.) North-Holland, Amsterdam
    • Rao, M. M. (1985). Harmonizable, Cramér, and Karhunen classes of processes. In Hannan, E. J., Krishnaiah, P. R., and Rao, M. M. (eds.), Handbook of Statistics, Vol. 5: Time Series in the Time Domain, North-Holland, Amsterdam, pp. 279-310.
    • (1985) Handbook of Statistics, Vol. 5: Time Series in the Time Domain , vol.5 , pp. 279-310
    • Rao, M.M.1
  • 25
    • 0010680775 scopus 로고    scopus 로고
    • Almost periodic harmonizable processes
    • Swift, R. J. (1996). Almost periodic harmonizable processes. Georgian Math. J. 3, 275-292.
    • (1996) Georgian Math. J. , vol.3 , pp. 275-292
    • Swift, R.J.1
  • 26
    • 0009669128 scopus 로고    scopus 로고
    • Some aspects of harmonizable processes and fields
    • Rao, M. M. (ed.) CRC Press, Boca Raton
    • Swift, R. J. (1997). Some aspects of harmonizable processes and fields. In Rao, M. M. (ed.), Real and Stochastic Analysis: Recent Advances, CRC Press, Boca Raton, pp. 303-365.
    • (1997) Real and Stochastic Analysis: Recent Advances , pp. 303-365
    • Swift, R.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.