IJLTEMAS International Journal of Latest Technology in Engineering, Management & Applied Science (IJLTEMAS) IJLTEMAS 2278-2540 IJLTEMAS 42 10.51583/IJLTEMAS.2026.150700037 Applications Applications of Exponentiated Moment Exponential Distribution Based on Dual Generalized Order Statistics Sharma Arti Department of Statistics and Operations Research, Aligarh Muslim University, Aligarh, 202002, Uttar Pradesh, India. India Singh Bavita Department of Statistics, Amity Institute of Applied Sciences, Amity University, Noida, 201303, Uttar Pradesh, India. India 15 7 441 457 27 07 2026 01 08 2026 07 08 2026 Dual generalized order statistics order statistics exponentiated moment exponential distribution single & product moments and maximum likelihood estimation. Abstract

Dual generalized order statistics includes reversed order statistics, lower k-records and lower Pfeifer records. Therefore, the study of characteristics of dual generalized order statistics are of special interest. Pawlas and Szynal (2001) first proposed the concept of dual generalized order statistics (dgos) where in the study of distributional properties of random variables by using the inverse image of gos is popularly known as dual generalized order statistics. Burkschat et al. (2003) further studied this concept in a systematic manner. In this paper, an attempt has been made to derive the exact expression for single as well as for product moments of dual generalized order statistics from exponentiated moment exponential distribution and then results are deduced to reverse order statistics and lower record values. Further, the mean based on dual generalized order statistics and first & second moments based on order statistics from exponentiated moment exponential distribution are computed. Also, we have obtained maximum likelihood estimators of the model parameters based on order statistics. And finally, we have done real data analysis for exhibiting the applications of exponentiated moment exponential distribution in real-world.

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