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Statistical Analysis of Multiplicative Schemes: Basic Distributions

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Abstract

New distributions used for statistical processing of multiplicative schemes are introduced and examined in the paper. Some new characteristics of random quantities (geometrical expectation, relative variance and variation, etc.) are studied.

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REFERENCES

  1. V. M. Zolotarev, “General theory of multiplication of independent random variables,” Dokl. Akad. Nauk SSSR, 142, No. 4, 788-791 (1962).

    Google Scholar 

  2. A. Bakshtis, “Convergence to the logarithmic distribution laws,” Lit. Mat. Sb., 12, Issue 1, 23-29 (1972).

    Google Scholar 

  3. A. Bakshtis, “Convergence to the logarithmically normal law,” Lit. Mat. Sb., 12, Issue 2, 17-27 (1972).

    Google Scholar 

  4. N. V. Grigorevskii, “The ideal metrics and products of independent random variables,” in: Stability Problems of Stochastic Models [in Russian], VNIISI, Moscow (1980), pp. 18-32.

    Google Scholar 

  5. V. A. Abramov, “Stability of expansions in M-scheme,” Teor. Veroyatn. Primen., 31, Issue 1, 132-134 (1986).

    Google Scholar 

  6. V. A. Abramov, “Limiting theorems in a multiplicative scheme,” Teor. Veroyatn. Primen., 31, Issue 4, 717-729 (1986).

    Google Scholar 

  7. V. Yu. Kotlyar, “Relative rate of change of a function,” Kibern. Sist. Anal., No. 4, 160-165 (1999).

  8. V. Yu. Kotlyar and A. V. Antonov, “A generalization of the Jensen inequality,” Kibern. Sist. Anal., No. 2, 89-99, 2000.

  9. V. Yu. Kotlyar and A. V. Antonov, “Statistical analysis in the multiplicate schemes,” The 3rd Ukr.-Scan. Conf. Prob. Theory and Math. Stat. [in Russian], Kiev Univ., Kiev (1999), p. 68.

    Google Scholar 

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Authors and Affiliations

  1. Institute of Home Affairs, Kiev, Ukraine

    V. Yu. Kotlyar

  2. Institute of Mathematics, National Academy of Sciences of Ukraine, Kiev, Ukraine

    A. V. Antonov

Authors
  1. V. Yu. Kotlyar
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  2. A. V. Antonov
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Kotlyar, V.Y., Antonov, A.V. Statistical Analysis of Multiplicative Schemes: Basic Distributions. Cybernetics and Systems Analysis 36, 678–690 (2000). https://doi.org/10.1023/A:1009424705713

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  • DOI: https://doi.org/10.1023/A:1009424705713

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