Skip to main content
SpringerLink
Log in

Estimation of the compounding distribution in the compound Poisson process model for earthquakes

  • Published:
Proceedings of the Indian Academy of Sciences - Earth and Planetary Sciences Aims and scope Submit manuscript

Abstract

Compound Poisson process models have been studied earlier for earthquake occurrences, with some arbitrary compounding distributions. It is more meaningful to abstract information about the compounding distribution from the empirical observations on the earthquake sequences. The difinition of a compound distribution can be interpreted as an integral transform of the compounding distribution. The latter distribution can therefore be estimated by inverting the integral transform. Alternatively, from the moments of the observable random variablesviz. (a) the number of earthquakes per unit time or (b) the waiting times for subsequent earthquakes, the moments of the compounding distribution can be obtained. This information can be converted into a statement about the compounding distribution.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Bellman R, Kalaba R E and Lockett J A 1966Numerical Inversion of the Laplace transform (New York: American Elsevier) pp 249

    Google Scholar 

  • Fisz M 1963Probability theory and mathematical statistics (New York: John Wiley) pp 52–85

    Google Scholar 

  • Fry T C 1965Probability and its engineering uses (Princeton: D. Von Nostrand) pp 257–270

    Google Scholar 

  • Geol S M J R, Malasi S K, Moharir P S, Wason H R, Khattri K N and Gaur V K 1983 Estimation of the waiting time distributions of earthquakes;Proc. Indian. Acad. Sci. (Earth Planet. Sci.) 92 223–237

    Google Scholar 

  • Johnson N L and Kotz S 1969Discrete distributions (Boston: Houghton Mifflin Company) pp 328

    Google Scholar 

  • Moharir P S 1992(a)Pattern-recognition transforms (Taunton: Research Studies Press) pp 30–38

    Google Scholar 

  • Moharir P S 1992(b) Themata and anathemata in signal processing.Geol. Soc. India Mem. 24 (in press)

  • Moharir P S 1993 Induced condorcet paradox. Proc. Discussion Meeting on Signal Processing & Communications, Bangalore

  • Naveen, Moharir P S and Gaur V K 1983 Hypotheses for earthquake occurrences;Proc. Indian. Acad. Sci. (Earth. Planet. Sci.) 92 261–281

    Google Scholar 

  • Singh H 1983 Compound Poisson process models for earthquake occurrences. M. Tech. Dissertation, University of Roorkee, Roorkee

    Google Scholar 

  • Sneddon I N 1972The use of integral transforms (New York: McGraw-Hill)

    Google Scholar 

  • Tucker H G 1963 An estimate of the compounding distribution of a compound Poisson distribution;Theory Probab. Appl. 8 195–200

    Article  Google Scholar 

  • Walter C G 1985 Orthogonal polynomial estimators of the prior distribution of a compound Poisson distribution.Sankhya (Indian J. Stat.) A 47 222–230

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. National Geophysical Research Institute, 500 007, Uppal Road, Hyderabad, India

    P S Moharir

Authors
  1. P S Moharir
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Moharir, P.S. Estimation of the compounding distribution in the compound Poisson process model for earthquakes. Proc. Indian Acad. Sci. (Earth Planet Sci.) 101, 347–359 (1992). https://doi.org/10.1007/BF02893010

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02893010

Keywords

Search

Navigation