ODD TRANSMUTED RAYLEIGH- LOMAX DISTRIBUTION WITH ITS APPLICATIONS

Abstract

The flexibility and applicability of some known compound distributions in modelling and predicting diverse industrial datasets cannot be quantified. Nowadays, some of these existing distributions found it difficult in modelling different datasets most especially the ones that are highly skewed to either direction. On this note, this study focused on developing a distribution named Odd Transmuted Rayleigh- Lomax Distribution (OTRLD) which can capture the important data points. The cumulative distribution function (CDF), probability density function (PDF) and reliability function of the OTRLD were explicitly derived.
Consequently, the validity of this distribution has been checked and confirmed valid. The parameters of the new distribution were estimated using the technique of maximum likelihood. On the basis of distributional performance, the derived model was compared with existing distributions in the literature via real datasets. The results have shown that the proposed distributions outperformed their competitors.
Keywords: Odd Transmuted Rayleigh, Lomax, reliability, maximum likelihood.