Proportional reversed hazard rate model and its applications

By Ramesh C. Gupta, Rameshwar D. Gupta. 2007

246 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/962dbda11142bbc2c907253b27e1ed76491632cf

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In Statistics and Probability

Citations in the corpus

On negative cumulative extropy with applications (2020, background): “For another properties of this model associated with aging notions see Gupta and Gupta (2007). Proposition 2.”
The Kumaraswamy Marshal-Olkin family of distributions (2015, unknown): “a b p GðxÞ Reduced model 1 – – 0 GðxÞ The Kw-G family of distributions [3] 2 1 1 – GðxÞ The MO family of distributions [21] 3 1 1 – GðxÞ The exponentiated MO family of distributions [22] 4 1 – 0 GðxÞ The proportional reversed hazard rate model [23] 5 – 1 0 GðxÞ The proportional hazard rate model [24”
Expanded Fréchet Model: Mathematical Properties, Copula, Different Estimation Methods, Applications and Validation Testing (2020, background): “For a = 1, the OB-G family reduces to the proportional reversed hazard rate (PRHR) family (see [19]).”
A Generalization of Lomax Distribution with Properties, Copula and Real Data Applications (2020, background): “For 𝑎 = 1 , the OLL-G family reduces to the proportional reversed hazard rate G (PRHR-G) family (Gupta and Gupta (2007)).”
ON CUMULATIVE RESIDUAL EXTROPY (2020, background): “Gupta and Gupta [10] studied this model from a reliability point of view and discussed the monotonicity of failure rates.”
A Generalization of Reciprocal Exponential Model: Clayton Copula, Statistical Properties and Modeling Skewed and Symmetric Real Data Sets (2020, background): “For 𝑐1 = 1 we get the Proportional reversed hazard rate G family Gupta and Gupta (2007).”
Generalized Transmuted Family of Distributions: Properties and Applications (2017, background): “α λ G(x) Reduced distribution 1 - G(x) Transmuted G family of distributions [42] - 0 G(x) Proportioanl reversed hazard rate family [25] 1 0 G(x) G(x) 1 - exponential Transmuted exponential distribution [42] 1 - pareto Transmuted pareto distribution [41] 1 - Gumbel Transmuted Gumbel distribution [10]”
The generalized odd log-logistic family of distributions: properties, regression models and applications (2017, background): “Equation (2) is a wider family of continuous distributions including as special cases the odd log-logistic [10] and proportional reversed hazard rate [11] models.”
On Relative Reversed Hazard Rate Order (2015, methodology): “A number of interrelations regarding this model, along with further reliability analysis of it, have been discussed by Di Crescenzo (2000) and Gupta and Gupta (2007) among others.”
Modified Sarhan–Balakrishnan singular bivariate distribution (2010, methodology): “…Mudholkar et al. (1995), several proportional reversed hazard models have been introduced in the literature; exponentiated Rayleigh, exponentiated gamma, exponentiated Pareto, see for example the review article by Gupta and Kundu (2007) or the Gupta and Gupta (2007) and the references cited there.”