Estimating parameters of the Bernoulli and Poisson distributions for zero events

Authors

  • Juan Carlos Correa Universidad de Antioquia
  • Esperanza Sierra

DOI:

https://doi.org/10.17533/udea.rfnsp.13393

Keywords:

Confidence interval, Poisson distribution, Bernoulli distribution, zero-events sample, zero-success sample

Abstract

When the parameters p, in the Bernoulli distribution, and λ, in the Poisson distribution, are very small their estimation presents difficulties when random samples shows no events or successes. In epidemiological studies of rare diseases it is common to obtain these kinds of results. Several solutions to this problem are presented.
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References

(1). Jovanovic BJ, Levy PS. A look at the rule of tree. Am Stat 1997; 51(2); 137-139. DOI: https://doi.org/10.1080/00031305.1997.10473947

(2). Serfling RJ. Approximation theorems of mathematical statistics. New YorK: John Wiley & Sons; 1980. DOI: https://doi.org/10.1002/9780470316481

(3). Correa, JC, Sierra E. Sobre la estimación de la distribución poisson con tasa pequeña. Reporter Técnico. Medellín: Universidad Nacional; 1999.

(4). DeGroot M.H. Optimal statistical decisions. New York: McGraw-Hill; 1970.

Published

2012-11-02

How to Cite

1.
Correa JC, Sierra E. Estimating parameters of the Bernoulli and Poisson distributions for zero events. Rev. Fac. Nac. Salud Pública [Internet]. 2012 Nov. 2 [cited 2025 Jan. 22];17(1). Available from: https://revistas.udea.edu.co/index.php/fnsp/article/view/13393

Issue

Section

Research

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