Inferences for generalized Topp-Leone distribution under order statistics with application to polyester bers data


Abstract


In this note, we obtain recurrence relations for the moments of order statis-tics from generalized Topp-Leone distribution without any restriction for theshape parameter. Several relations are also derived when the shape parame-ter is an integer. These expressions will be useful for computational purposes. In addition, we use these moments to obtain the best linear unbiased esti-mates of the location and scale parameters based on Type-II right-censoredsamples. In addition, we carry out some numerical illustrations throughMonte Carlo simulations to show the usefulness of the findings. Finally, weapply the ndings of the paper to some real data set.

DOI Code: 10.1285/i20705948v16n2p208

Keywords: Generalized Topp-Leone distribution, moments, order statis- tics, best linear unbiased estimators.

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