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math.ST2022★ 2 cited
On point estimators for Gamma and Beta distributions
Nickos Papadatos
Let be a random sample from the Gamma distribution with density , , where both (the shape parameter) and (the recipro…
math.ST2018
Optimal moment inequalities for order statistics from nonnegative random variables
Nickos Papadatos
We obtain the best possible upper bounds for the moments of a single order statistic from independent, non-negative random variables, in terms of the population mean. The main resu…
math.ST2018
On the limiting distribution of sample central moments
Georgios Afendras, Nickos Papadatos, Violetta Piperigou
We investigate the limiting behavior of sample central moments, examining the special cases where the limiting (as the sample size tends to infinity) distribution is degenerate. Pa…