has CDF in (3). In fact, the specialist literature contains a significant number of extensions of the Lx distribution. These extensions were mostly utilized in the mathematical and statistical modeling procedures, and we will highlight some of them here: the Lx-inverse-Weibull model by Afify et...
[9] introduced the Lomax–Rayleigh (LR) heavy-tailed distribution, considering G as the cumulative distribution function (cdf) of the Rayleigh model. The probability density function (pdf) of a random variable X with distribution LR, which is denoted as 𝑋∼𝐿𝑅(𝜃,𝛼)X∼LR(θ,...
[9] introduced the Lomax–Rayleigh (LR) heavy-tailed distribution, considering G as the cumulative distribution function (cdf) of the Rayleigh model. The probability density function (pdf) of a random variable X with distribution LR, which is denoted as 𝑋∼𝐿𝑅(𝜃,𝛼)X∼LR(θ,...
[9] introduced the Lomax–Rayleigh (LR) heavy-tailed distribution, considering G as the cumulative distribution function (cdf) of the Rayleigh model. The probability density function (pdf) of a random variable X with distribution LR, which is denoted as 𝑋∼𝐿𝑅(𝜃,𝛼), can be ...
This research presents a closed-form mathematical framework for assessing the performance of a wireless communication system in the presence of multipath fading channels with an instantaneous signal-to-noise ratio (SNR) subjected to the inverse power Lomax (IPL) distribution. It is demonstrated that ...
In this section, we present the TTLILo distribution. Representations for its PDF and CDF are derived. The reliability and HF formulas are also provided. Let the random variable Z have the ILo distribution with CDF (1) and PDF (2), and then from (1) to (3), the CDF of the TTLILo ...