New Lindley-Rayleigh Distribution with
Statistical properties and Applications

Ramesh Kumar Joshi; Vijay Kumar

doi:https://doi.org/10.14445/22315373/IJMTT-V66I9P523

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 66 | Issue 9 | Year 2020 | Article Id. IJMTT-V66I9P523 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I9P523

New Lindley-Rayleigh Distribution with Statistical properties and Applications

Ramesh Kumar Joshi, Vijay Kumar

Abstract

In this study, we have launched a new two-parameter probability model called the New Lindley-Rayleigh distribution. The proposed model accommodates unimodal and bathtub, and a broad variety of monotone failure rates. Some statistical and mathematical properties of this distribution are discussed. Four widely used estimation methods are employed to estimate the model parameters namely maximum likelihood estimators (MLE), leastsquare (LSE) and Cramer-Von-Mises (CVM) methods. By using the maximum likelihood estimate we have constructed the asymptotic confidence interval for the model parameters. The potentiality of the proposed distribution is revealed by using a real dataset, where the proposed distribution provided better fit in comparison with some other lifetime distributions. The importance of the proposed distribution is illustrated by using a real dataset, and found that it provides a better fitting in comparison with other lifetime distributions.

Keywords

Lindley G-Family, MLE, LSE, CVE.

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Citation :

Ramesh Kumar Joshi, Vijay Kumar, "New Lindley-Rayleigh Distribution with Statistical properties and Applications," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 9, pp. 197-208, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I9P523