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Discrete Three Parameter Burr Type III Distribution in the Epidemiology of Dental Caries |
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PP: 61-72 |
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doi:10.18576/jsapl/040204
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Author(s) |
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B. A. Para,
T. R. Jan,
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Abstract |
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| In this paper we propose a discrete analogue of three parameter Burr type III distribution as a model in the epidemiology of dental caries. Numerical Illustrations of data recorded by Grainger and Reid [2] regarding carious teeth data has been discussed. It has been observed that three parameter discrete Burr type III distribution is the best fitted model for caries process in contrast with the classical models discussed. It may be worth exploring the possibility of developing a discrete version of three parameter Burr type III distribution, so that same can be used for modeling a discrete medical count data. Discrete Burr type III distribution is also suggested as a suitable reliability model to fit a range of discrete life time data, as it is shown that hazard rate function can attain monotonic increasing (decreasing) shape for certain values of parameters. The equivalence of discrete Burr type III (DBD-III) and continuous Burr type III (BD-III) distributions has been established. Various theorems relating discrete Burr type III distribution with other statistical distributions have also been proved. |
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