One- and multidimensional distributions of fluctuations of irregularities of the Earth’s rotation.

*(English. Russian original)*Zbl 1248.86001
Dokl. Phys. 54, No. 10, 471-474 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 428, No. 5, 616-619 (2009).

Summary: In [Dokl. Phys. 53, No. 3, 175–178 (2008); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 419, No. 3, 338–341 (2008; Zbl 1257.86004), Dokl. Phys. 54, No. 7, 350–353 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 427, No. 3, 326–329 (2009)], the authors constructed correlation models for the intra-annual tidal irregularity of the Earth’s rotation based on taking into account the harmonic additive and parametric random “colored” and broadband gravity-tidal fluctuations induced by the Sun and the Moon. In [the second author, Geoinformational Technologies. (Russian) IPI RAN, Moscow (2004)], the theory of one and multidimensional distributions was developed for the Poisson fluctuations of the Earth’s pole and the irregularities of the Earth’s rotation. With application to the Gaussian and non-Gaussian “colored” and broadband fluctuations of irregularities of the Earth’s rotation, we find one and multidimensional characteristic functions. We calculate the first four statistical moments and also the asymmetry and excess of the one-dimensional distribution of fluctuations of the irregularity of the velocity of the Earth’s rotation.

##### MSC:

86A04 | General questions in geophysics |

60G35 | Signal detection and filtering (aspects of stochastic processes) |

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\textit{Yu. G. Markov} and \textit{I. N. Sinitsyn}, Dokl. Phys. 54, No. 10, 471--474 (2009; Zbl 1248.86001); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 428, No. 5, 616--619 (2009)

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##### References:

[1] | Yu. G. Markov and I. N. Sinitsyn, Phys. Dokl. 53(3), 175 (2008) [Dokl. Akad. Nauk 419 (3), 338 (2008)]. · doi:10.1134/S1028335808030142 |

[2] | Yu. G. Markov and I. N. Sinitsyn, Dokl. Akad. Nauk 427(3), 1 (2009). |

[3] | I. N. Sinitsyn, Geoinformational Technologies (IPI RAN, Moscow, 2004) [in Russian]. |

[4] | V. S. Pugachev and I. N. Sinitsyn, Theory of Stochastic Systems (Logos, Moscow, 2004) [in Russian]. · Zbl 0994.60001 |

[5] | K. Oduan and B. Gino, Measurement of Time: GPS Fundamentals (Tekhnosfera, Moscow, 2002) [in Russian]. |

[6] | I. N. Sinitsyn, Kalman and Pugachev Filters (Logos, Moscow, 2007) [in Russian]. |

[7] | I. N. Sinitsyn, Canonical Representations of Stochastic Functions and their Application in Problems of Computer Support of Science Researches (Torus Press, Moscow, 2009) [in Russian]. |

[8] | I. N. Sinitsyn, Informatika Primeneniya 3(1), 2 (2009). |

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