[1] H. Z. An Z. G. Chen, E. J. Hannan:
The maximum of the periodogram. J. Multivariate Anal. 13 (1983), 383-400.
MR 0716931 |
Zbl 0517.62094
[2] J. Anděl:
Statistische Analyse von Zeitreihen. Akademie-Verlag, Berlin 1984.
MR 0762087
[3] E. Bølviken:
New tests of significance in periodogram analysis. Scand. J. Statist. 10 (1983), 1-9.
MR 0711329
[4] D. R. Brillinger: Fitting cosines: some procedures and some physical examples. In: Applied Probability, Stochastic Processes and Sampling Theory (MacNeill and G. J. Umphrey, eds.), pp. 75-100, Reidel, Dordrecht 1987.
[5] Z. G. Chen:
Consistent estimates for hidden frequencies in a linear process. Adv. in Appl. Probab. 20 (1988), 295-314.
MR 0938147 |
Zbl 0661.62094
[6] S. T. Chiu:
Detecting periodic components in a white Gaussian time series. J. Roy. Statist. Soc. Ser. B 51 (1989), 249-259.
MR 1007457 |
Zbl 0669.62088
[7] T. Cipra:
Improvement of Fisher's test of periodicity. Apl. mat. 28 (1983), 186-193.
Zbl 0528.62075
[8] T. Cipra:
Investigation of periodicity for dependent observations. Apl. mat. 29 (1984), 134-142.
MR 0738498 |
Zbl 0541.62070
[9] T. Cipra:
Tests of periodicity with missing observations. Statistics 22 (1991), 233-243.
MR 1097376 |
Zbl 0809.62079
[10] D. Damsleth, E. Spjøtvoll: Estimation of trigonometric components in time series. J. Amer. Statist. Assoc. 77 (1982), 381-387.
[11] F. N. David, M. G. Kendall:
Tables of symmetric functions. Part I. Biometrika 36 (1949), 431-449.
MR 0033788
[13] R. A. Fisher: Test of significance in harmonic analysis. Proc. Roy. Soc. Ser. A 125 (1929), 54-59.
[14] E J. Hannan:
Time Series Analysis. Wiley, New York 1960.
Zbl 0095.13204
[15] E. J. Hannan:
Testing for a jump in the spectral function. J. Roy. Statist. Soc. Ser. B 23 (1961), 394-404.
MR 0137271 |
Zbl 0109.12801
[18] E. J. Hannan, M. Mackisack:
A law of the iterated logarithm for an estimate of frequency. Stochastic Process. Appl. 22 (1986), 103-109.
MR 0852386 |
Zbl 0613.60024
[19] H. O. Hartley:
Tests of significance in harmonic analysis. Biometrika 56 (1949), 194-201.
MR 0034008 |
Zbl 0033.19104
[20] P. L. Hsu, H. Robbins:
Complete convergence and the law of large numbers. Proc. Nat. Acad. Sci. U.S.A. 33 (1947), 25-31.
MR 0019852 |
Zbl 0030.20101
[21] B. Kedem:
Detection of periodicities by higher-order crossing. J. Time Ser. Anal. 8 (1987), 39-50.
MR 0868016
[22] T. Lewis, N. R. J. Fieller:
A recursive algorithm for null distribution for outliers: I. Gamma samples. Technometrics 21 (1979). 371-376.
MR 0538441
[23] M. S. Mackisack, D. S. Poskitt:
Autoregressive frequency estimation. Biometrika 76 (1989), 565-575.
MR 1040649 |
Zbl 0674.62057
[24] I. B. MacNeill:
Tests for periodic components in multiple time series. Biometrika 61 (1974), 57-70.
MR 0378317 |
Zbl 0275.62078
[25] M. B. Priestley:
The analysis of stationary processes with mixed spectra - I. J. Roy. Statist. Soc. Ser. B 24 (1962), 215-233.
MR 0140174 |
Zbl 0114.08301
[26] M. B. Priestley:
Analysis of stationary processes with mixed spectra - II. J. Roy. Statist. Soc. Ser. B 24 (1962), 511-529.
MR 0152056
[27] B. G. Quinn:
Estimating the number of terms in a sinusoidal regression. J. Time Ser. Anal. 10 (1989), 71-75.
MR 1001884 |
Zbl 0671.62087
[28] B. G. Quinn, J. M. Fernandes:
A fast efficient technique for the estimation of frequency. Biometrika 18 (1991), 489 - 497.
MR 1130917 |
Zbl 0737.62082
[29] B. G. Quinn, P. J. Thomson:
Estimating the frequency of a periodic function. Biometrika 18 (1991), 65-74.
MR 1118231 |
Zbl 0717.62088
[30] A. Schuster: On the investigation of hidden periodicities with application to the supposed 26-day period of meteorological phenomena. Terr. Magn. Atmos. Electr. 3 (1898), 13-41.
[31] M. Shimshoni: On Fisher's test of significance in harmonic analysis. Geophys. J. R. Astronom. Soc. 23 (1971), 373-377.
[32] A. F. Siegel:
Testing for periodicity in a time series. J. Amer. Statist. Assoc. 75 (1980), 345-348.
Zbl 0462.62069
[34] A. T. Walden: Asymptotic percentage points for Siegel's test statistic for compound periodicities. Biometrika 19 (1992), 438-440.
[35] A. M. Walker:
Some asymptotic results for the periodogram of a stationary time series. J. Austal. Math. Soc. 5 (1965), 107-128.
MR 0177457 |
Zbl 0128.38701
[36] P. Whittle:
The simultaneous estimation of a time-series harmonic components and covariance structure. Trabajos Estadfst. Investigacion Oper. 3 (1952), 43-57.
MR 0051487 |
Zbl 0049.37304
[37] P. Whittle:
The statistical analysis of a seiche record. J. of Marine Research (Sears Foundation) 13 (1954), 76-100.
MR 0078600
[38] G. U. Yule: On a method of investigating periodicities in disturbed series with special reference to Wolfer's sunspot numbers. Philos. Trans. Roy. Soc. London Ser. A 226 (1927), 267-298.