Department of Statistics

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Open Access
Asymmetric Model for Modeling Skewed Data
(2023-07) Badmus, N.I; Ogundeji, R.K; Olufolabo, O.O
In this article, we present a new asymmetric distribution called Topp-Leone modified Weighted Rayleigh (TLMWR) distribution from Topp-Leone distribution. We study and examine several properties of the propose distribution such as density, distribution, reliability, hazard rate function, moment, generating function, quantile function and order statistics. The estimation of model parameters is obtain using method of maximum likelihood estimates. Exploratory data analysis, diagnostic test, normality test and goodness of fit statistics are carry out on the data used for the direction of skewness andlevel of kurtosis. The fitness and effectiveness of the proposed distribution is tested using both simulation and real data set to compare with other existing and new distributions. Therefore, we conclude based on the results from the analysis and supported the validity of the proposed model than other distributions considered.