مشخصات پژوهش

عنوان	Exact prediction intervals for order statistics from the Laplace distribution based on the maximum-likelihood estimators
نوع پژوهش	مقاله چاپ شده
کلیدواژه‌ها	Laplace distribution, exact prediction intervals, predictive likelihood function, maximumlikelihood estimators, ratios of linear combinations of exponential random variables
چکیده	In this work we construct exact prediction intervals for order statistics from the Laplace (double exponential) distribution. We consider both the one- and two-sample prediction cases. The intervals are based on certain pivotal quantities that employ the corresponding maximum-likelihood predictors and the predictive maximum-likelihood estimators of the unknown parameters. Similar to Iliopoulos and Balakrishnan [Exact likelihood inference for Laplace distribution based on Type-II censored samples. J. Statist. Plann. Inference. 2011;141:1224–1239], we express the distributions of the pivotal quantities as mixtures of ratios of linear combinations of independent standard exponential random variables. Since these distributions are in closed form we solve numerically the corresponding equations and obtain their exact quantiles. Tables containing selected quantiles of the pivotal quantities are provided. Numerical examples are also given for illustration purposes.
پژوهشگران	سیدمحمدتقی کامل میرمصطفائی (نفر دوم)، جورج ایلیوپولوس (نفر اول)