Published
2010-08-28

Una nueva función de densidad simétrica

A New Symmetric Density Function

DOI: https://doi.org/10.15332/s2027-3355.2010.0002.03
José Alfredo Jiménez Moscoso
Profesor Asociado. Departamento de Matemáticas. Universidad Nacional de Colombia.
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Abstract (en)

This paper present a new function symmetrical density that presented heavy tails. Also, the mean and the variance associated to this distribution are determined that allows to estimate the parameters by the method of the moments
Keywords (en): Cosecante hiperbólica, colas pesadas

Abstract (es)

En este artículo se presenta una nueva función de densidad simétrica que tiene colas más pesadas que la distribución normal. Se determina la media y la varianza de esta distribución, lo cual permite estimar los parámetros por el método de los momentos.
Keywords (es): Cosecante hiperbólica, colas pesadas

References

Abramowitz, M. & Stegun, I. (1965), Handbook of Mathematical Functions, with Formulas, Graphs and Mathematical Tables, Dover Publications, Inc., New York.

Chew, V. (1968), ‘Some useful alternatives to the normal distribution’, The American Statistician 22(3), 22–24.

Gao, Q. (2009), Three Essays on Bio-security, Doctoral thesis, Texas A & M University, Department of Agricultural Economics, Texas.

Jarque, C. M. & Bera, A. K. (1987), ‘A test for normality of observations and regression residuals’, International Statistical Review 55(2), 163–172.

Johnson, N. L. & Kotz, S. (1970), Distributions in Statistics: Continuous Univariate Distributions, Vol. 1,2, John Wiley & Sons, Inc., New York.

Spiegel, M., Lipschutz, S. & Liu, J. (2008), Schaum’s Outline of Mathematical Handbook of Formulas and Tables, third edn, McGraw-Hill Professional, USA.

Stuart, A. & Ord, J. K. (1994), Kendall’s advanced theory of statistics. Vol. 1.Distribution theory, 6th edn, London: Edward Arnold, New York: Halsted Press.

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How to Cite

Jiménez Moscoso, J. A. (2010). A New Symmetric Density Function. Comunicaciones En Estadística, 3(2), 133-148. https://doi.org/10.15332/s2027-3355.2010.0002.03

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