Simulation and Modeling208110 marksNumerical: K-S test for independenceTests for Randomness - Uniformity and independence
Explain the independence and uniformity property of random number. For the following sample of random numbers, perform test for independence using K-S test. (D0.05,10 = 0.41) 0.35, 0.77, 0.12, 0.33, 0.88, 0.45, 0.19, 0.25, 0.91, 0.54
Explain the independence and uniformity property of random number. For the following sample of random numbers, perform test for independence using K-S test. ($D_{0.05,10} = 0.41$) 0.35, 0.77, 0.12, 0.33, 0.88, 0.45, 0.19, 0.25, 0.91, 0.54[10]
The random numbers $Ri$ are assumed to be drawn from a continuous uniform distribution over $[0,1]$: $$f(x) = \begin{cases} 1 & 0 \le x \le 1 \ 0 & \text{otherwise} \end{cases}$$ - $E(R) = \dfrac{1}{2}$, $\text{Var}(R) = \dfrac{1}{12}$ - Every equal-length sub-interval of $(0,1)$ is equally like...