THE MODIFIED KIES-KAVYA-MANOHARAN FAMILY: PROPERTIES, INFERENCE, AND APPLICATIONS

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