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We provide novel, high-order accurate methods for non-parametric inference on quantile differences between two populations in both unconditional and conditional settings. These quantile differences ...

Explain why probability is important to statistics and data science. See the relationship between conditional and independent events in a statistical experiment. Calculate the expectation and variance ...

In this paper we evaluate the conditional Yeh-Wiener integral E(F(x)∣ x(s, t) = ξ) for functions F of the form F(x) = exp{∫t 0 ∫s 0 φ(σ, τ, x(σ, τ)) dσ dτ}. The method we use to evaluate this ...

Probability Distribution Notes: Probability is a fundamental aspect of mathematics that helps us understand and quantify uncertainty. Mastery of this subject is essential for students, as it has ...