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