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A condition for the nonexistence of ancillary statistics

Author

Listed:
  • Gupta, Arjun K.
  • Wang, Yining

Abstract

This note gives a simple condition for the nonexistence of nontrivial ancillary statistics. The result shows that in sampling from a discrete exponential family with a regression model, usually there is no nontrivial ancillary statistic.

Suggested Citation

  • Gupta, Arjun K. & Wang, Yining, 1995. "A condition for the nonexistence of ancillary statistics," Statistics & Probability Letters, Elsevier, vol. 23(4), pages 367-369, June.
    • Handle: RePEc:eee:stapro:v:23:y:1995:i:4:p:367-369
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    References listed on IDEAS

    as
    1. Peña, Edsel A. & Rohatgi, Vijay K. & Székely, Gábor J., 1992. "On the non-existence of ancillary statistics," Statistics & Probability Letters, Elsevier, vol. 15(5), pages 357-360, December.
    2. L. Willson & J. Folks & J. Young, 1986. "Complete sufficiency and maximum likelihood estimation for the two-parameter negative binomial distribution," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 33(1), pages 349-362, December.
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