Recurrence relations for single and product moments of generalized order statistics from Marshall–Olkin extended Pareto distributions

ABSTRACT

Marshall and Olkin (1997) introduced a new method of adding parameter to expand a family of distributions. Using this concept, in this article, the Marshall–Olkin extended Pareto distribution is introduced and some recurrence relations for single and product moments of generalized order statistics are studied. Also the results are deduced for record values and order statistics.

KEYWORDS:

• Generalized order statistics
• Marshall–Olkin extended Pareto distribution
• Order statistics
• Record values and recurrence relations.

MATHEMATICS SUBJECT CLASSIFICATION:

• 62G30
• 62G99

Acknowledgment

The authors acknowledge with thanks to the Referees and Prof. N. Balakrishnan, Editor-in-Chief of Communication in Statistics – Theory and Methods for their fruitful suggestions which led to an overall improvement in the manuscript.