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To pool or not to pool: The discrete data

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  • Ahmed, S. E.

Abstract

The purpose of this paper is to discuss the classical problem of pooling proportions of two independent random samples taken from two possibly identical binomial distributions. The primary interest is in the estimation of [theta]1 from population I. Three estimators, i.e. the classical estimator, pooled estimator and preliminary test estimator are proposed. Their asymptotic mean squared errors are derived and compared.

Suggested Citation

  • Ahmed, S. E., 1991. "To pool or not to pool: The discrete data," Statistics & Probability Letters, Elsevier, vol. 11(3), pages 233-237, March.
    • Handle: RePEc:eee:stapro:v:11:y:1991:i:3:p:233-237
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    Cited by:

    1. S. Ahmed & A. Gupta & S. Khan & C. Nicol, 2001. "Simultaneous Estimation of Several Intraclass Correlation Coefficients," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 53(2), pages 354-369, June.
    2. Ejaz Ahmed, S. & Fallahpour, Saber, 2012. "Shrinkage estimation strategy in quasi-likelihood models," Statistics & Probability Letters, Elsevier, vol. 82(12), pages 2170-2179.
    3. Ahmed, S. E. & Krzanowski, W. J., 2004. "Biased estimation in a simple multivariate regression model," Computational Statistics & Data Analysis, Elsevier, vol. 45(4), pages 689-696, May.

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