Abstract
The beta-normal distribution is characterized by four parameters that jointly describe the location, the scale and the shape properties. The beta-normal distribution can be unimodal or bimodal. This paper studies the bimodality properties of the beta-normal distribution. The region of bimodality in the parameter space is obtained. The beta-normal distribution is applied to fit a numerical bimodal data set. The beta-normal fits are compared with the fits of mixture-normal distribution through simulation.
| Original language | English |
|---|---|
| Pages (from-to) | 85-103 |
| Number of pages | 19 |
| Journal | Journal of Modern Applied Statistical Methods |
| Volume | 3 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2004 |
Keywords
- Bimodal region
- Curve estimation
- Egg size distribution
- Percentiles