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Alternative estimator for the parameters of a mixture of two binomial distributions

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  • Roberto Quinino
  • Linda Ho
  • Emílio Suyama

Abstract

The method of moments has been widely used as a simple alternative to the maximum likelihood method, mainly because of its efficiency and simplicity in obtaining parameter estimators of a mixture of two binomial distributions. In this paper, an alternative estimate is proposed which is as competitive as of the method of moments when comparing the mean squared error and computational effort. Copyright Springer-Verlag 2013

Suggested Citation

  • Roberto Quinino & Linda Ho & Emílio Suyama, 2013. "Alternative estimator for the parameters of a mixture of two binomial distributions," Statistical Papers, Springer, vol. 54(1), pages 47-69, February.
    • Handle: RePEc:spr:stpapr:v:54:y:2013:i:1:p:47-69
    DOI: 10.1007/s00362-011-0410-5
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    References listed on IDEAS

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    1. van Wieringen, Wessel N., 2005. "On identifiability of certain latent class models," Statistics & Probability Letters, Elsevier, vol. 75(3), pages 211-218, December.
    2. Alexander Kukush & Hans Schneeweis & Roland Wolf, 2004. "Three estimators for the poisson regression model with measurement errors," Statistical Papers, Springer, vol. 45(3), pages 351-368, July.
    3. Norman L. Johnson & Samuel Kotz, 1988. "Estimation from binomial data with classifiers of known and unknown imperfections," Naval Research Logistics (NRL), John Wiley & Sons, vol. 35(1), pages 147-156, February.
    4. T. Pham-Gia & N. Turkhan, 2005. "Bayesian decision criteria in the presence of noises under quadratic and absolute value loss functions," Statistical Papers, Springer, vol. 46(2), pages 247-266, April.
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    Cited by:

    1. Benchong Li & Liya Fu, 2018. "Exact test of goodness of fit for binomial distribution," Statistical Papers, Springer, vol. 59(3), pages 851-860, September.
    2. Ricardo Saldanha Morais & Roberto da Costa Quinino & Emilio Suyama & Linda Lee Ho, 2019. "Estimators of parameters of a mixture of three multinomial distributions based on simple majority results," Statistical Papers, Springer, vol. 60(4), pages 1283-1316, August.

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