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Bacon With Your Eggs? Applications of a New Bivariate Beta-Binomial Distribution
We present two everyday applications of a new bivariate beta-binomial distribution. Although the applications are familiar, they share unique characteristics that cannot be handled adequately by existing bivariate discrete distributions. These features are high levels of between- and within-trial co...
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| Published in: | The American statistician 2005-11, Vol.59 (4), p.282-286 |
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| Main Authors: | , |
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| Language: | English |
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| cited_by | cdi_FETCH-LOGICAL-c417t-954dbe21794a361680f1e8225a1455ba62719966ba81c9d775baff36e6f95cbc3 |
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| cites | cdi_FETCH-LOGICAL-c417t-954dbe21794a361680f1e8225a1455ba62719966ba81c9d775baff36e6f95cbc3 |
| container_end_page | 286 |
| container_issue | 4 |
| container_start_page | 282 |
| container_title | The American statistician |
| container_volume | 59 |
| creator | Danaher, Peter J Hardie, Bruce G. S |
| description | We present two everyday applications of a new bivariate beta-binomial distribution. Although the applications are familiar, they share unique characteristics that cannot be handled adequately by existing bivariate discrete distributions. These features are high levels of between- and within-trial correlation for the bivariate random variables. Our model is derived from a broad class of bivariate models based on a versatile, but little-known, family of distributions due to Sarmanov. For the applications presented, we show that our model fits observed data very well. In addition, for the bacon and eggs application, the model can be used to help improve the management of inventory in grocery stores. |
| doi_str_mv | 10.1198/000313005X70939 |
| format | article |
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| subjects | Beta-binomial Binomial distribution Binomial distributions Binomials Bivariate discrete distribution Correlations Distribution theory Eggs Exact sciences and technology Marketing Mathematics Maximum likelihood estimation Modeling Multivariate analysis Probability and statistics Probability theory and stochastic processes Random variables Sarmanov distribution Sciences and techniques of general use Shopping trips Statistical analysis Statistical methods Statistics |
| title | Bacon With Your Eggs? Applications of a New Bivariate Beta-Binomial Distribution |
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