Recent content by pirce

Using the Mathematica I found that \int_{0}^{\frac{\pi}{2}}Sin^2xdx=\frac{\pi}{4}\int_{0}^{\frac{\pi}{2}}Sin^4xdx=\frac{3\pi}{16} \int_{0}^{\frac{\pi}{2}}Sin^6xdx=\frac{5\pi}{32}\int_{0}^{\frac{\pi}{2}}Sin^8xdx=\frac{35\pi}{256} \int_{0}^{\frac{\pi}{2}}Sin^{10}xdx=\frac{63\pi}{512} so I can...

Hello I have problem with integrate \int_{0}^{\frac{\pi}{2}}d\phi_1...\int_{0}^{\frac{\pi}{2}}d\phi_{n-2}sin^{2(n-1)}\phi_1...sin^{2(n-k)}\phi_k ...sin^4\phi_{n-2} Please help me.

Welcome Using MLE I found that estimator \alpha parametr from Rayleigh distribution is described by formula \hat{\alpha}=\sqrt{\frac{\sum_{n}^{i=1}x_i^2}{2n}} but I can't proof that this estimator is consistent estimator. Would you be mind and help me with my problem.