:: Volume 30, Issue 1 (9-2019) ::
مجله‌ی بررسی‌ها 2019, 30(1): 1-17 Back to browse issues page
The Exponentiated Lomax – Rayleigh (E-LR) Distribution, Properties and Applications
Anita Abdollahi Nanvapishe *
Razi University
Abstract:   (1599 Views)
In this paper a new four-parameter lifetime distribution named “the exponentiated Lomax – Rayleigh (E-LR) distribution” has been suggested that it has an increasing hazard rate for modeling lifetime data. The Lomax distribution has applications in economics, actuarial modelling, reliability modeling, lifetime and queuing problems and biological sciences. In this paper Firstly, the mathematical and statistical characteristics of the proposed distribution are presented, then the applications of the new distribution are studied using the real data set. Its first moment about origin and moments about mean have been obtained and expressions for skewness, kurtosis has been given. Various mathematical and statistical properties of the proposed distribution have been discussed. Estimation of its parameter has been discussed using the method of maximum likelihood. In the end, two applications of the new distribution have been discussed with two real lifetime data sets. The results also confirmed the suitability of the presented models for real data collection
Keywords: Lomax distribution, exponentiated Lomax – Rayleigh (E-LR) distribution, moments, lifetime data, parameter estimation and goodness of fit.
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Type of Study: Applicable | Subject: Special
Received: 2019/07/31 | Accepted: 2020/07/28 | Published: 2019/09/22

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Volume 30, Issue 1 (9-2019) Back to browse issues page