A5090455572- Statistical Distribution Estimation and Applications
- Statistical Methods and Bayesian Inference
- Probabilistic and Robust Engineering Design
- Bayesian Methods and Mixture Models
- Reliability and Maintenance Optimization
- Hydrology and Drought Analysis
Cairo University
2014-2024
This article examines the new inverse unit exponential distribution, utilizing both classical and Bayesian methodologies; it begins by presenting general properties of proposed model, highlighting characteristic features, such as presence a reverse-J or increasing inverted bathtub-shaped hazard rate function. Furthermore, explores various statistical suggested distribution. It employs 12 methods to estimate associated parameters. A Monte Carlo simulation is conducted evaluate accuracy...
A flexible distribution for the analysis of bounded data is proposed. The new model generalized through transmuted approach, and resultant named “transmuted modified Lehmann-type II distribution.” comprehensive key characteristics performed, including shape model, survival, hazard function, analytical expressions mode, quantile ordinary moments, stress–strength reliability. Some famous entropy measures are also derived. parameters have been estimated using four distinct methods, maximum...
We introduce in this paper a new six-parameters generalized version of the linear failure rate (GLFR) distribution which is called McDonald Generalized Linear (McGLFR) distribution. The quite flexible and can be used effectively modeling survival data reliability problems. It have constant, decreasing, increasing, upside down bathtub-and bathtub shaped function depending on its parameters. includes some well-known lifetime distributions as special sub-models. Some structural properties are...
In this article, the odd Lomax Gompertz distribution has been introduced, which is derived by modifying to serve as a baseline model in generalized distribution. The newly proposed offers enhanced flexibility and provides promising alternative for modeling lifetime data. This study seeks establish solid theoretical foundation its application through exploration of several properties, such non-central moments, stochastic orderings quantile function, entropy measure, new model. Additionally,...
A new family of continuous distributions called the generalized odd linear exponential is proposed. The probability density and cumulative distribution function are expressed as infinite mixtures exponentiated-F distribution. Important statistical properties such quantile function, moment generating order statistics, moments, mean deviations, asymptotes stress–strength model proposed investigated. maximum likelihood estimation parameters presented. Simulation carried out for two mentioned...
In this paper, a new discrete distribution called Binomial–Natural Discrete Lindley is proposed by compounding the binomial and natural distributions. Some properties of are discussed including moment-generating function, moments hazard rate function. Estimation distribution’s parameter studied methods moments, proportions maximum likelihood. A simulation study performed to compare performance different estimates in terms bias mean square error. SO2 data applications also presented see that...