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Applications of Exponentiated Moment Exponential Distribution Based on Dual Generalized Order Statistics

Author

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  • Arti Sharma

    (Department of Statistics and Operations Research, Aligarh Muslim University, Aligarh, 202002, Uttar Pradesh, India.)

  • Bavita Singh

    (Department of Statistics, Amity Institute of Applied Sciences, Amity University, Noida, 201303, Uttar Pradesh, India.)

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.

Suggested Citation

  • Arti Sharma & Bavita Singh, 2026. "Applications of Exponentiated Moment Exponential Distribution Based on Dual Generalized Order Statistics," International Journal of Latest Technology in Engineering, Management & Applied Science, RSIS International, vol. 15(7), pages 441-457, August.
    • Handle: RePEc:bjf:ijltem:v:15:y:2026:i:7:a:42
    DOI: 10.51583/IJLTEMAS.2026.150700037
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