Statistics and probability - Distributions arising from the normal distributions скачать в хорошем качестве

Statistics and probability - Distributions arising from the normal distributions

t-distribution , chi-square distribution and F distribution are closely related to standard normal distribution. If random variable x1, x2,,, Xn follows standard normal distribution, then the summation of square of these variables will follow a chi-square distribution with n degrees of freedom. A random variable which equals the division between a standard normal variate and the square root of a chi-squared variate divided by its degrees of freedom n, will follow a t-distribution of n. And a random variable F which is the ratio between two chi-squared variates divided by their degrees of freedom n and m, will follow a F distribution with degrees of freedom n and m. #statistics #probability #normaldistribution #fdistribution #ftest #tdistribution #ttest #chisqaure #hypothesistesting #statistics32