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Limiting properties of large system of random linear equations
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  • Published: November 1986

Limiting properties of large system of random linear equations

  • Z. D. Bai1 

Probability Theory and Related Fields volume 73, pages 539–553 (1986)Cite this article

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References

  1. Bai, Z.D., Yin, Y.Q.: Limiting behavior of the norm of products of random matrices and two problems of Geman-Hwang. Probab. Th. Rel. Fields 73, 555–569 (1986)

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  2. Billingsly, P.: Convergence of probability measures, New York: Wiley 1986

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  3. Chow, Y.S., Teicher, H.: Probability theory, Berlin, Heidelberg, New York: Springer 1978

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  4. Chung, K.L.: A course in probability theory. New York: Academic Press 1974

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  5. Geman, S., Hwang, C.R.: A chaos hypothesis for some large systems of random equations. Z Wahrscheinlichkeitstheor. Verw. Geb. 60, 291–314 (1982)

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  6. Geman, S.: Almost sure stable oscillations in a large system of randomly coupled equations. SIAM J. Appl. Math. 42, 695–703 (1982)

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Author information

Authors and Affiliations

  1. Center for Multivariate Analysis, University of Pittsburgh, Thackeray Hall, 15260, Pittsburgh, PA, USA

    Z. D. Bai

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  1. Z. D. Bai
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Additional information

This work is sponsored by the Air force Office of Scientific Research (AFSC) under Contract F49620-85-C-0008. The United States Government is authorized to reproduce and distribute reprints for governmental purposes notwithstanding copyright notation hereon

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Cite this article

Bai, Z.D. Limiting properties of large system of random linear equations. Probab. Th. Rel. Fields 73, 539–553 (1986). https://doi.org/10.1007/BF00324851

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  • Received: 01 January 1985

  • Revised: 10 April 1986

  • Issue Date: November 1986

  • DOI: https://doi.org/10.1007/BF00324851

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Keywords

  • Stochastic Process
  • Linear Equation
  • Probability Theory
  • Mathematical Biology
  • Large System
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