Let be independent non negative random variables with , i = 1, …, n, where λ_i > 0, i = 1, …, n and F is an absolutely continuous distribution. It is shown that, under some conditions, one largest order statistic X^λ_{n: n} is smaller than another one X^θ_{n: n} according to likelihood ratio ordering. Furthermore, we apply these results when F is a generalized gamma distribution which includes Weibull, gamma and exponential random variables as special cases.