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THE MODIFIED KIES-KAVYA-MANOHARAN FAMILY: PROPERTIES, INFERENCE, AND APPLICATIONS
Keywords:
modified Kies family, Kavya-Manoharan family, Cramér-von Mises estimation, mean residual life, exponential distributionDOI:
https://doi.org/10.17654/0972361725036Abstract
In this paper, we introduce the modified Kies-Kavya-Manoharan (MKKM-F) family. The new family is analytically tractable, and it can be used quite effectively for real-life data analysis. Some of its structural properties are established. The special models of MKKM-F family accommodate J-shape, reversed J-shape, unimodal, bathtub, decreasing and increasing failure rates as well as symmetrical, asymmetrical, J-shape, right-skewed and left-skewed densities. The MKKM-exponential parameters are estimated via eight frequentist estimation approaches. Their performances are evaluated by numerical simulations. Finally, the practical importance of the MKKM-exponential distribution is explored by analyzing two sets of real-life data from applied fields including medicine, and reliability. The data analysis shows that the proposed distribution provides better fit as compared to some well-known existing exponential distributions.
Received: December 18, 2024
Accepted: March 12, 2025
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