Application of discrete Burr XII distribution in the analysis of animal production data




Animal production, Discretization, Likelihood function, Model selection, Probability function, Survival analysis


In animal production, the models that mimicry the biological reality are of great importance for optimization and sustainability of the productive system. The continuous Burr XII distribution is widely used in survival data analysis, however, the same does not occur with its discrete version, recently proposed in the literature. The purpose of this work is to use the discrete Burr XII distribution, obtained by the discretization method proposed by Nakagawa and Osaki (1975), in the analysis of data related to animal production. The data analyzed describe the time, in days, from birth to first laying of yellow quail (Coturnix coturnix japonica) submitted to two diets. For this purpose the discretized versions of five distributions were used: the discrete Burr XII, the discrete Weibull, the discrete gamma, the discrete inverse-Gaussian and the discrete log-normal. For all distributions, the parameter estimates were obtained by the maximum likelihood method. Despite the similarity between the estimates it is natural to choose the discrete given the nature of the data and assuming the discrete distribution, it could be calculated exactly, for example, the probability of the time to the first posture, which is not possible if a continuous distribution is assumed. Thus, among the discrete distributions, the chi-square goodness-of-fit test showed that the Burr XII distribution was the only one indicated to describe the behavior of the data considered.


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Author Biographies

Josmar Mazucheli, Universidade Estadual de Maringá, Maringá, PR

Professor adjunto da Universidade Estadual de Maringá

Ricardo Puziol Oliveira, Universidade Estadual de Maringá, Umuarama, PR

Professor Adjunto no Departamento do Meio Ambiente na Universidade Estadual de Maringá no Câmpus de Umuarama

Danielle Peralta, Universidade Estadual de Maringá

Mestre em Bioestatística pela Universidade Estadual de Maringá - PR (2015)

Isabele Picada Emanuelli, Centro de Ensino Superior de Maringá, Maringá, PR

Professora Titular do Programa de Mestrado em Tecnologias Limpas e no Mestrado de Ciências, Tecnologias e Segurança Alimentar da UniCesumar


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How to Cite

Mazucheli, J., Oliveira, R. P., Peralta, D., & Emanuelli, I. P. (2018). Application of discrete Burr XII distribution in the analysis of animal production data. Ciência E Natura, 40, e25.