Hypothesis testing of the location and scale parameters using order statistics

An asymptotically most powerful test of the null hypothesis H₀: μ = μ₀, σ = σ₀ versus the alternative hypothesis H₁: μ = μ₁, σ = σ₁ using a few selected order statistics is derived in this paper. The order statistics are chosen from a large complete or censored (singly-censored, doubly-censored, or multiply-censored) sample taken from a distribution with probability density function of the form $\text{(}\text{1}\text{σ}\text{)f[(}\text{X ? μ)}\text{σ}\text{]}$, where μ and σ are location and scale parameters respectively.