Skip to main content
SpringerLink
Log in

Goodness-of-Fit Tests Using Dual Versions of Characterizations via Moments of Record Values

  • Published:
Journal of Mathematical Sciences Aims and scope Submit manuscript

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

REFERENCES

  1. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, National Bureau of Standards Applied Mathematics, Ser. 55 (1964).

  2. W. Dziubdziela and B. Kopocicskii, “Limiting properties of the kth record values,” Zastos. Mat., 5,No. 2, 187–190 (1976).

    Google Scholar 

  3. Z. Grudzień and D. Szynal, “On the expected values of kth record values and associated characterizations of distributions,” in: Proceedings of the 4th Pannonian Symposium on Mathematical Statistics, Bad Tatzmannsdorf (1985), pp. 119–127.

  4. Z. Grudzień and D. Szynal, “Characterization of continuous distributions via moments of record values,” J. Appl. Statist. Sci., 9,No. 2, 93–104 (2000).

    Google Scholar 

  5. G. D. Lin, “Characterizations of continuous distributions via expected values of two functions of order statistics,” Sankhyā, Ser. A, 52, 84–90 (1990).

    Google Scholar 

  6. K. W. Morris and D. Szynal, “Goodness-of-fit tests using characterizations of continuous distributions,” Appl. Math., 28,No. 2, 151–168 (2001).

    Google Scholar 

  7. K. W. Morris and D. Szynal, “Goodness-of-fit tests based on characterizations in terms of moments of order statistics,” Appl. Math. (to appear).

  8. K. W. Morris and D. Szynal, “Tests based on characterizations in terms of moments of record values” (submitted).

  9. K. W. Morris and D. Szynal, “Goodness-of-fit tests using dual versions of characterizations via moments of order statistics” (submitted).

  10. D. A. Pierce, “The asymptotic effect of substituting estimators for parameters in certain types of statistics,” Ann. Statist., 10,No. 2, 475–478 (1982).

    Google Scholar 

  11. I. M. Ryżyk and I. S. Gradsztejn, Tablice Calek, Sum, Szeregów i Iloczynów, PWN, Warszawa (1964).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. University of Adelaide, North Tce, Adelaide, South Australia, 5001

    K. W. Morris

  2. Institute of Mathematics, Maria Curie-Skłodowska University, pl. Marii Curie-Skłodowskiej 1, PL-20-031, Lublin, Poland

    D. Szynal

Authors
  1. K. W. Morris
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. D. Szynal
    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

Morris, K.W., Szynal, D. Goodness-of-Fit Tests Using Dual Versions of Characterizations via Moments of Record Values. Journal of Mathematical Sciences 122, 3384–3403 (2004). https://doi.org/10.1023/B:JOTH.0000031883.60349.a4

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:JOTH.0000031883.60349.a4

Keywords

Search

Navigation