Abstract
In this article, we propose a new four-parameter Fréchet distribution called the odd Lomax Fréchet distribution. The new model can be expressed as a linear mixture of Fréchet densities. We provide some of its mathematical properties. The estimation of the model parameters is performed by the maximum likelihood method. We illustrate the good performance of the maximum likelihood estimates via a detailed numerical simulation study. The importance and usefulness of the proposed distribution for modeling data are illustrated using two real data applications.
Highlights
The Fréchet distribution (Fréchet, 1924) is one of the important distributions in extreme value theory and it has many applications in accelerated life testing, rainfall, earthquakes, floods, horse racing, wind speeds and sea waves
Estimation and simulation we provide the estimation of the odd Lomax Fréchet (OLxF) parameters from complete samples only by maximum likelihood estimation method
We propose and study a new extension of the Fréchet model called the odd Lomax Fréchet (OLxF) distribution, which extends the Fréchet distribution
Summary
The Fréchet distribution (Fréchet, 1924) is one of the important distributions in extreme value theory and it has many applications in accelerated life testing, rainfall, earthquakes, floods, horse racing, wind speeds and sea waves. For more details about the Fréchet distribution and its applications see, e.g., Kotz and Nadarajah (2000) and Mubarak (2011). For more details about the Fréchet distribution and its applications see Ramos et al (2019). The hazard rate function (HRF) of the OLx-G class reduces to αg(x; ζ) h(x; α, β, ζ) = [1 − G(x; ζ)]2 [β + 1 −G(Gx(;xζ;)ζ)]. The maximum likelihood estimates of the OLxF parameters are provided in Section 5 and a numerical simulation study is conducted to assess the performance these estimates.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
