2020 # Odd Lindley-Rayleigh Distribution: Its Properties and Applications to Simulated and Real Life Datasets

**Abstract:** This article develops an extension of the Rayleigh distribution with two parameters and greater flexibility which is an improvement over Lindley distribution, Rayleigh distribution and other generalizations of the Rayleigh distribution. The new model is known as “odd Lindley-Rayleigh Distribution”. The definitions of its probability density function and cumulative distribution function using the odd Lindley-G family of distributions are provided. Some properties of the new distribution are also derived and stu…

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“…The results above show that the Lomax generator of distributions by Cordeiro et al(2014) is useful for providing additional Skewness and flexibility in continuous distributions just as induced in the Lomax-inverse exponential distribution. The results are also in line with the results of Venegas et al, (2019), Omale et al (2019), Ieren et al, (2020), Ieren and Kuhe (2018) as well as Ieren et al (2019) which is an indication that the Lomax-G family by Cordeiro et al,(2014) should be considered in subsequent studies aiming to extend other continuous distributions.…”

confidence: 91%

“…The results above show that the Lomax generator of distributions by Cordeiro et al(2014) is useful for providing additional Skewness and flexibility in continuous distributions just as induced in the Lomax-inverse exponential distribution. The results are also in line with the results of Venegas et al, (2019), Omale et al (2019), Ieren et al, (2020), Ieren and Kuhe (2018) as well as Ieren et al (2019) which is an indication that the Lomax-G family by Cordeiro et al,(2014) should be considered in subsequent studies aiming to extend other continuous distributions.…”

confidence: 91%

“…According to [6], the odd Lindley-Weilbull distribution which is based on the odd Lindley-G family was found to fit real dataset better compared exponentiated Weibull distribution, beta Weibull distribution, Kumaraswamy Weibull distribution and the conventional Weibull distribution. Also, according to [22], the odd Lindley-Rayleigh distribution which is also based on the odd Lindley-G family performed better than the transmuted Weibull-Rayleigh distribution, Weibull-Rayleigh distribution, transmuted Rayleigh distribution, Lindley distribution and the Rayleigh distribution after real life data applications.…”

confidence: 99%

“…Due to this families and many others, numerous compound models have been introduced for modeling statistical data and these compound distributions are found to be skewed, flexible and more better in statistical modeling than the standard counterparts ( [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23]).…”

confidence: 99%

“…Adequate utilization of these families and other methods have led to many extensions of the Rayleigh distribution some of which are; the generalized Rayleigh distribution by [17], Bivariate generalized Rayleigh distribution by [18], Transmuted Rayleigh distribution by [19], Weibull-Rayleigh distribution by [20], transmuted Weibull-Rayleigh distribution by [21], the Transmuted Inverse Rayleigh distribution studied by [22] and the odd Lindley-Rayleigh distribution by [23].…”

confidence: 99%