<abstract xmlns="http://www.w3.org/1999/xhtml"><p> In this paper we consider general class of distribution. Recurrence relations satisfied by the quotient moments and conditional quotient moments of lower generalized order statistics for a general class of distribution are derived. Further the results are deduced for quotient moments of order statistics and lower records and characterization of this distribution by considering the recurrence relation of conditional expectation for general class of distribution satisfied by the quotient moment of the lower generalized order statistics.</p></abstract>

In this paper we consider general class of distribution. Recurrence relations satisfied by the quotient moments and conditional quotient moments of lower generalized order statistics for a general class of distribution are derived. Further the results are deduced for quotient moments of order statistics and lower records and characterization of this distribution by considering the recurrence relation of conditional expectation for general class of distribution satisfied by the quotient moment of the lower generalized order statistics.

On the quotient moment of lower generalized order statistics and characterization

Department of Statistics, Amity Institute of Applied Sciences Amity University, Noida-201303, India

Journal of Applied Mathematics, Statistics and Informatics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

In this paper we consider general class of distribution. Recurrence relations satisfied by the quotient moments and conditional quotient moments of lower...

On the quotient moment of lower generalized order statistics and characterization

Published Online: Jun 27, 2015

Page range: 73 - 89

DOI: https://doi.org/10.1515/jamsi-2015-0005

Keywords
Lower generalized order statistics, order statistics, record values, general class of distribution, recurrence relations and characterization.

© Faculty of Natural Sciences, University of Saint Cyril and Metodius

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

On the quotient moment of lower generalized order statistics and characterization

Published Online: Jun 27, 2015

Page range: 73 - 89

DOI: https://doi.org/10.1515/jamsi-2015-0005

KeywordsLower generalized order statistics, order statistics, record values, general class of distribution, recurrence relations and characterization.

© Faculty of Natural Sciences, University of Saint Cyril and Metodius

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Lower generalized order statistics, order statistics, record values, general class of distribution, recurrence relations and characterization.