Skip to main content
SpringerLink
Log in

A class of multiple sample tests based on empirical coverages

  • Tests
  • Published:
Annals of the Institute of Statistical Mathematics Aims and scope Submit manuscript

Abstract

A class of multiple sample tests based on empirical coverages is proposed which is a generalization of Greenwood's and Sherman's one-sample goodness-of-fit test statistics. The asymptotic normality of the tests is established by embedding the empirical coverages into a stationary process satisfying the strong mixing condition.

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

  • Burrows, P. M. (1979). Selected percentage points of Greenwood's statistic, J. Roy. Statist. Soc. Ser. A, 142, 256–258.

    Article  Google Scholar 

  • Currie, I. D. (1981). Further percentage points of Greenwood's statistic, J. Roy. Statist. Soc. Ser. A, 144, 360–363.

    Article  Google Scholar 

  • Greenwood, M. (1946). The statistical study of infectious diseases, J. Roy. Statist. Soc. Ser. A, 109, 85–103.

    Article  MathSciNet  Google Scholar 

  • Holst, L. (1979). Two conditional limit theorems with applications, Ann. Statist., 7, 551–557.

    Article  MathSciNet  Google Scholar 

  • Holst, L. and Rao, J. S. (1980). Asymptotic theory for some families of two-sample nonparametric statistics, Sankhyā Ser. A, 42, 19–52.

    MathSciNet  MATH  Google Scholar 

  • Holst, L. and Rao, J. S. (1981). Asymptotic spacings theory with applications to the two-sample problem, Canad. J. Statist., 9, 79–89.

    Article  MathSciNet  Google Scholar 

  • Ibragimov, I. A. and Linnik, Yu. V. (1971). Independent and Stationary Sequences of Random Variables, Wolters-Noordhoff Publishing, Groningen, The Netherlands.

    MATH  Google Scholar 

  • Rao, J. S. (1976). Some tests based on arc lengths for the circle, Sankhyā Ser. B, 38, 329–338.

    MathSciNet  MATH  Google Scholar 

  • Rao, J. S. and Murthy, V. K. (1981). A two-sample nonparametric test based on spacing-frequencies, Proc. of Int. Statist. Inst. Contributed Papers Volume (43rd session), 223–227.

  • Rao, J. S. and Sethuraman, J. (1975). Weak convergence of empirical distribution functions of random variables subject to perturbations and scale factors, Ann. Statist., 3, 299–313.

    Article  MathSciNet  Google Scholar 

  • Sherman, B. (1950). A random variable related to the spacing of sample values, Ann. Math. Statist., 21, 339–361.

    Article  MathSciNet  Google Scholar 

  • Stephens, M. A. (1981). Further percentage points of Greenwood's statistic, J. Roy. Statist. Soc. Ser. A, 144, 364–366.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Statistics, Colorado State University, 80523, Fort Collins, CO, U.S.A.

    P. W. Mielke Jr. & Y. C. Yao

Authors
  1. P. W. Mielke Jr.
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Y. C. Yao
    View author publications

    You can also search for this author in PubMed Google Scholar

About this article

Cite this article

Mielke, P.W., Yao, Y.C. A class of multiple sample tests based on empirical coverages. Ann Inst Stat Math 40, 165–178 (1988). https://doi.org/10.1007/BF00053963

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00053963

Key words and phrases

Search

Navigation