On Certain Properties of A Class of Bivariate Compound Poisson Distributions and an Application to Earthquake Data
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| Formato: | Artículo científico |
| Lenguaje: | en |
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Universidad Nacional de Colombia
2011
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| _version_ | 1876476690207604736 |
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| author | Gamze Özel |
| author_facet | Gamze Özel |
| contents | On Certain Properties of A Class of Bivariate Compound Poisson Distributions and an Application to Earthquake Data Gamze Özel Física, Astronomía y Matemáticas Moment Cumulant Bivariate distribution Coefficient of correlation Compound Poisson distribution The univariate compound Poisson distribution has many applications in various areas such as biology, seismology, risk theory, forestry, health science, etc. In this paper, a bivariate compound Poisson distribution is proposed and the joint probability function of this model is derived. Expressions for the product moments, cumulants, covariance and correlation coefficient are also obtained. Then, an algorithm is prepared in Maple to obtain the probabilities quickly and an empirical comparison of the proposed probability function is given. Bivariate versions of the Neyman type A, Neyman type B, geometric-Poisson, Thomas distributions are introduced and the usefulness of these distributions is illustrated in the analysis of earthquake data. 2011 artículo científico 0120-1751 https://www.redalyc.org/articulo.oa?id=89922501009 en http://www.redalyc.org/revista.oa?id=899 Revista Colombiana de Estadística application/pdf Universidad Nacional de Colombia Revista Colombiana de Estadística (Colombia) Num.3 Vol.34 |
| format | Artículo científico |
| id | redalyc_89922501009 |
| institution | Redalyc |
| language | en |
| publishDate | 2011 |
| publisher | Universidad Nacional de Colombia |
| spellingShingle | On Certain Properties of A Class of Bivariate Compound Poisson Distributions and an Application to Earthquake Data Gamze Özel Física, Astronomía y Matemáticas Moment Cumulant Bivariate distribution Coefficient of correlation Compound Poisson distribution On Certain Properties of A Class of Bivariate Compound Poisson Distributions and an Application to Earthquake Data Gamze Özel Física, Astronomía y Matemáticas Moment Cumulant Bivariate distribution Coefficient of correlation Compound Poisson distribution The univariate compound Poisson distribution has many applications in various areas such as biology, seismology, risk theory, forestry, health science, etc. In this paper, a bivariate compound Poisson distribution is proposed and the joint probability function of this model is derived. Expressions for the product moments, cumulants, covariance and correlation coefficient are also obtained. Then, an algorithm is prepared in Maple to obtain the probabilities quickly and an empirical comparison of the proposed probability function is given. Bivariate versions of the Neyman type A, Neyman type B, geometric-Poisson, Thomas distributions are introduced and the usefulness of these distributions is illustrated in the analysis of earthquake data. 2011 artículo científico 0120-1751 https://www.redalyc.org/articulo.oa?id=89922501009 en http://www.redalyc.org/revista.oa?id=899 Revista Colombiana de Estadística application/pdf Universidad Nacional de Colombia Revista Colombiana de Estadística (Colombia) Num.3 Vol.34 |
| title | On Certain Properties of A Class of Bivariate Compound Poisson Distributions and an Application to Earthquake Data |
| topic | Física, Astronomía y Matemáticas Moment Cumulant Bivariate distribution Coefficient of correlation Compound Poisson distribution |
| url | https://www.redalyc.org/articulo.oa?id=89922501009 |