Modified one-Parameter Lindley Distribution and Its Applications
Journal Title: International Journal of engineering Research and Applications - Year 2018, Vol 8, Issue 1
Abstract
In this paper a new one-parameter lifetime distribution named “Modified One-Parameter Lindley Distribution” which is a modification of Lindley Distribution, with an increasing hazard rate for modeling lifetime data has been suggested. Its first four moments about origin and mean have been deduced and expressions for mean, variance, coefficient of variation, skewness, kurtosis and index of dispersion have been obtained. Various mathematical and statistical properties of the proposed distribution including its survival function, hazard rate function, mean deviations, and Bonferroni and Lorenz curves have been discussed. Estimation of its parameter has been obtained using the method of maximum likelihood and the method of moments. The applications and goodness of fit of the distribution have been discussed with two real lifetime data sets and the fit has been compared with other one-parameter lifetime distributions including Akash, Lindley and Exponential distributions.
Authors and Affiliations
Sadasivan Karuppusamy, Vinoth Balakrishnan, Keerthana Sadasivan
Keywords
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