Asymptotic normality of sample quantiles

Let be i.i.d. random variables with the cumulative distribution function (CDF) . The central limit theorem demonstrates that the sample mean is asymptotically normal (as long as has a finite second moment): where and are the mean and variance of the random variable with CDF . It turns out that for any , the th […]

Asymptotic normality of sample quantiles

Eastern Europe’s demographic deficit

There has been a huge exodus of Ukrainians into neighbouring countries fleeing the war in their country- three million and counting.  Just as in Syria and in other countries engulfed by war, there has been a refugee disaster.  But this latest exodus from Ukraine adds to the millions who have already left in the last […]

Eastern Europe’s demographic deficit