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Experimental analysis of statistical properties of parameter estimates of modified gravity model

  • International Seminar “Probabilistic Models and Statistical Inference”
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Abstract

The modified gravity model is investigated, this is a nonlinear regression model for passenger correspondences estimating for pairs of objects (points). Unknown parameters of the model and correspondences are estimated using information about total departures from each object only, these are random variables. The model and method of its estimation are stated in [1]. In the present paper the statistical properties of parameter estimates of the model are investigated. For that the principles of simulation modeling are used. The hypothesis about correctness of the suggested probabilistic model, unbiasedness and consistency of the estimates are tested.

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References

  1. Andronov, A. and Santalova, D., Statistical estimates for modified gravity model by aggregated data, Communications in Statistics. Simulation and Computation, 2012, vol. 41, pp. 730–745.

    Article  MathSciNet  MATH  Google Scholar 

  2. Erlander, S. and Stewart, N.F., The Gravity Model in Transportation Analysis: Theory and Extensions Utrecht: VSP, 1990.

    MATH  Google Scholar 

  3. Ortuzar, J. and Willumsen, L.G., Modeling Transport, 4th ed., New York: Wiley, 2011.

    Book  Google Scholar 

  4. Gentle, J.E., Elements of Computational Statistic New York: Springer-Verlag, 2002.

    Google Scholar 

  5. Kollo, T. and von Rosen, D., Advanced Multivariate Statistics with Matrices Dordrecht: Springer-Verlag, 2005.

    MATH  Google Scholar 

  6. Srivastava, M., Methods of Multivariate Statistics New York: Wiley, 2002.

    MATH  Google Scholar 

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Correspondence to D. Santalova.

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Original Russian Text © D. Santalova, 2013, published in Avtomatika i Vychislitel’naya Tekhnika, 2013, No. 2, pp. 60–69.

The article was translated by the authors.

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Santalova, D. Experimental analysis of statistical properties of parameter estimates of modified gravity model. Aut. Control Comp. Sci. 47, 99–106 (2013). https://doi.org/10.3103/S0146411613020065

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  • DOI: https://doi.org/10.3103/S0146411613020065

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