1. A mixture of two unimodal distributions with differing means is not necessarily bimodal. 2. In symbols for these positively skewed unimodal distributions 3. Mismatch analysis showed a unimodal distribution . 4. These estimators have been used to create hypothesis tests for simple samples from normal or symmetrical unimodal distributions . 5. In simulations with a variates drawn from a uniform distribution the PCI 2 has a symmetric unimodal distribution . 6. Rohatgi and Szekely have shown that the skewness and kurtosis of a unimodal distribution are related by the inequality: 7. For a large class of unimodal distributions that are positively skewed the mode, median and mean fall in that order. 8. It is possible for an unknown unimodal distribution to estimate a confidence interval for the mode with a sample size of 1. 9. In symmetric unimodal distributions , such as the normal distribution, the mean ( if defined ), median and mode all coincide. 10. Other examples of unimodal distributions include Cauchy distribution, Student's t-distribution, chi-squared distribution and exponential distribution.
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