Exponentiated power Lindley distribution is proposed as a generalization of some widely well-known distributions such as\nLindley, power Lindley, and generalized Lindley distributions. In this paper, the exact explicit expressions for moments of order\nstatistics from the exponentiated power Lindley distribution are derived. By using these relations, the best linear unbiased\nestimates of the location and scale parameters, based on type-II right-censored sample, are obtained. Next, the mean, variance, and\ncoefficients of skewness and kurtosis of some certain linear functions of order statistics are calculated and then used to derive the\napproximate confidence interval for the location and scale parameters using the Edgeworth approximation. Finally, some\nnumerical illustrations and two real data applications are presented.
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