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Advisor(s)
Abstract(s)
The use of the 𝑇-statistic in statistical inference procedures is usually restricted to normal populations or to large samples. However, these conditions may not be fulfilled in some situations: the population can be moderate/highly skewed, or the sample size can be small. In this work, we use the Pearson’s system of distributions, namely, type IV distributions to model 𝑇. By some simulation work, it is shown that this approximation leads to confidence intervals whose coverage is close to the nominal coverage even for low sample sizes.
Description
Keywords
𝑇-statistic Type IV distributions Pearson’s system Skewness kurtosis Estimation Confidence interval Coverage Mean value Simulation
Citation
Martins, J. P., Felgueiras, M., & Santos, R. (2022). Mean value estimation using low size samples extracted from skewed populations. WSEAS Transactios on Mathematics, 21, 107–112. https://doi.org/10.37394/23206.2022.21.16
Publisher
WSEAS