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. |
