Modeling Lifetime Data with the Odd Generalized Exponentiated Inverse Lomax Distribution
Journal Title: Current Trends on Biostatistics & Biometrics - Year 2019, Vol 1, Issue 3
Abstract
We propose a four parameter compound continuous distribution in this study. Simulation studies was carried out to investigate the behavior of the proposed distribution, from which the maximum likelihood estimates for the true parameters, including the bias and root mean square error (RMSE) were obtained. The proposed model was applied to the strengths of glass fibres dataset and the result compared to other existing distribution. The Lomax distribution also called “Pareto type II” is a special case of the generalized beta distribution of the second kind [1], and can be seen in many application areas, such as actuarial science, economics, biological sciences, engineering, lifetime and reliability modeling and so on [2]. This heavy-duty distribution is considered useful as an alternative distribution to survival problems and lifetesting in engineering and survival analysis [3]. Inverse Lomax distribution is a member of the inverted family of distributions and discovered to be very flexible in analyzing situations with a realized non-monotonic failure rate [4]. The probability density function and cumulative density function of the Inverted Lomax distribution are given by [5]:
Authors and Affiliations
Obubu Maxwell, Nwokike Chukwudike C, Offorha Bright C, Olayemi Joshua I, Eghwerido Joseph Thomas
Keywords
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- EP ID EP641967
- DOI 10.32474/CTBB.2019.01.000112
- Views 50
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