Abstract
In this paper, we have established several explicit expressions and recurrence relations for single and product moments of k-th lower record values from exponentiated Burr XII distribution. Two characterizing results of exponentiated Burr XII distribution has been obtained by using the recurrence relation for single moments and conditional expectation based on lower record values. The method of maximum likelihood is adopted for estimating the model parameters based on k-th lower record values. We carried out Monte Carlo simulations to compare the performances of the proposed methods and providing one real data case study for illustration of the results obtained.
Highlights
Record values find extensive applications in many real life situations involving data relating to weather, sport, economics, life testing studies and so on
Remark 1: For k 1 in (11), we deduce the explicit expression for single moments of lower record values from the exponentiated Burr XII (EB XII) distribution
Remark 3: For k 1 in (18), we deduce the explicit expression for product moments of lower record values from the EB XII distribution
Summary
Record values find extensive applications in many real life situations involving data relating to weather, sport, economics, life testing studies and so on.
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