On statistical properties of the test functions of the nonparametric methods for periodogram analysis.

Details On statistical properties of the test functions of the nonparametric methods for periodogram analysis. On statistical properties of the test functions of the nonparametric methods for periodogram analysis.

Dec 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997kfnt...13f..67a&link_type=abstract

Kinematika Fiz. Nebesn. Tel, Tom 13, No. 6, p. 67 - 80

Mathematics

2

Eclipsing Binaries: Orbital Periods

Scientific paper

Numerical comparison of methods for the periodogram analysis is carried out for modifications by Lafler and Kinman (1965), Burke et al. (1970), Deeming (1970), Renson (1978) and Dworetsky (1983). For some numerical models the values of the mean, variance, asymmetry, and excess of the test functions are determined, the correlations between them are discussed. Analytic estimates of the mathematical expectation of the test function for different methods and of the dispersion of the test function by Lafler and Kinman (1965) are obtained. The algorithm of choosing the optimum period is discussed. By using the proposed method, the orbital period of the eclipsing binary star HBV 426 = V1147 Cyg is determined, which is 1.097383d.

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