Relations for the moments of dual generalised order statistics from exponentiated Pareto type I distribution

Devendra Kumar；Neetu Jain

Sample ； dual generalized order statistics ； record values ； single and product moments ； recurrence relations ； exponentiated Pareto type I distribution

Tamsui Oxford Journal of Information and Mathematical Sciences

33卷1期（2019 / 07 / 01）

10 - 29

英文

The exponentiated Pareto type I distribution is used as a model for the distribution of city populations within a given area. In this paper, we have considered the dual generalized order statistics from this distribution. We obtained exact explicit expressions as well as recurrence relations for single and product moments of dual generalized order statistics from generalized Pareto distribution. Then, we use these results, we have tabulated the first four moments, skewness and kurtosis of order statistics from samples of sizes up to 10 for various values of the parameters.