collaborators

6 papers

stat.ME2025

Median Based Unit Weibull Distribution (MBUW): Do the Higher Order Probability Weighted Moments (PWM) Add More Information over the Lower Order PWM in Parameter Estimation

Iman Mohammed Attia

In the present paper, Probability weighted moments (PWMs) method for parameter estimation of the median based unit weibull (MBUW) distribution is discussed. The most widely used fi…

stat.ME2025

A Novel Unit Distribution Named As Median Based Unit Rayleigh (MBUR): Properties and Estimations

Iman Mohammed Attia

The importance of continuously emerging new distribution is a mandate to understand the world and environment surrounding us. In this paper, the author will discuss a new distribut…

stat.AP2025

Comparative Study of the Median Based Unit Rayleigh and its Generalized Form the Generalized Odd Median Based Unit Rayleigh

Iman Mohammed Attia

In the present paper, the author discusses the Generalized Odd Median Base Unit Rayleigh (GOMBUR) in relation to the Median Based Unit Rayleigh (MBUR) to evaluate the additive valu…

stat.AP2025

The New Generalized Odd Median Based Unit Rayleigh with a New Shape Oscillating Hazard Rate Function

Iman Attia

In this paper, the author presents the generalized form of the Median-Based Unit Rayleigh (MBUR) distribution, a novel statistical distribution that is specifically defined within…

stat.ME2025

Bias-Corrected and Variance-Corrected MLE for the New Median Based Unit Weibull Distribution (MBUW)

Iman Mohammed Attia

As the maximum likelihood method is the most commonly used method for parameters estimation being unbiased, consistent, efficient, and asymptotically normal, MLE is used to fit the…

stat.ME2025

Median Based Unit Weibull (MBUW): a new unit distribution Properties

Iman Mohammed Attia

A new 2 parameter unit Weibull distribution is defined on the unit interval (0,1). The methodology of deducing its PDF, some of its properties and related functions are discussed.…