Kernel Density Estimation (KDE) is widely used for estimating unknown probability densities. Classical kernel forms are fixed-shape smoothers that may degrade under skewness and contamination. This study evaluates a Kumaraswamy-transformed Normal kernel (KwNormal) against standard kernels via Monte-Carlo replication and Integrated Squared Error (ISE). Results confirm the consistent dominance and stability of KwNormal across sample sizes.
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