Significant discrepancies in estimates of the Hubble constant are discussed in terms of the measurementproblem of calibrating the cosmological distance scale. It is shown that representing the Freedman–Robertson–Walker problem by a 3rd order Taylor expansion with respect to the criterion of minimal error inthe inadequacy is not optimal in terms of accuracy. An anisotropic 2nd order model based on the Heckmannrepresentation is more accurate.
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Notes
The protocol form (without rounding) is assumed for the estimates in this article. The accuracy characteristic for the models is taken to be the AMEI \( {\overline{\upvarepsilon}}_{\vartheta}^{\left[s\right]} \), where ϑ is the binary code for the model structure or the exponent on the highest power of the arguments in the Taylor series (MMS); [s] is the index for the structural-parametric identification algorithm in the scheme for overlapping observation of the inadequacy error with s = 1 corresponding to MMKMEDS and s = 2, to MMKMNK [12].
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Translated from Izmeritel’nayaTekhnika, No. 11, pp. 15–21, November, 2018.
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Levin, S.F. Cosmological Distance Scale. Part 7. A New Special Case with the Hubble Constant and Anisotropic Models. Meas Tech 61, 1057–1065 (2019). https://doi.org/10.1007/s11018-019-01549-6
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DOI: https://doi.org/10.1007/s11018-019-01549-6