Inflated Beta Distributions

Details Inflated Beta Distributions Inflated Beta Distributions

2007-05-04

arxiv.org/abs/0705.0700v3

Statistics

Methodology

15 pages, 4 figures. Submitted to Statistical Papers

Scientific paper

10.1007/s00362-008-0125-4

This paper considers the issue of modeling fractional data observed in the interval [0,1), (0,1] or [0,1]. Mixed continuous-discrete distributions are proposed. The beta distribution is used to describe the continuous component of the model since its density can have quite diferent shapes depending on the values of the two parameters that index the distribution. Properties of the proposed distributions are examined. Also, maximum likelihood and method of moments estimation is discussed. Finally, practical applications that employ real data are presented.

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