Survival analysis based on an enhanced Rayleigh-inverted Weibull model DOI Creative Commons
Mohammed Elgarhy, Mohamed Kayid, Arne Johannssen

et al.

Heliyon, Journal Year: 2024, Volume and Issue: 10(16), P. e35851 - e35851

Published: Aug. 1, 2024

This study proposes a two-parameter survival model based on the Kavya-Manoharan transformation family and Rayleigh-inverted Weibull distribution, so-called Kavya-Manoharan-Rayleigh inverted distribution (KMRIWD). Various reliability measures statistical properties of this are analyzed. The parameters estimated using maximum likelihood method different sampling techniques. Using Monte Carlo simulations, performance estimators is evaluated compared. Finally, numerous competitors compared real data sets, it shown that KMRIWD has better fit than all competitors.

Language: Английский

On Approaching Normality Through Rectangular Distribution: Industrial Applications to Monitor Electron Gun and File Server Processes DOI Creative Commons
Muhammad Riaz, Anwar H. Joarder, M. Hafidz Omar

et al.

Journal of Statistical Theory and Applications, Journal Year: 2025, Volume and Issue: unknown

Published: Jan. 8, 2025

Abstract Normal probability distribution is central to most statistical methods and their applications. In many real scenarios, the normality of underlying phenomenon not obvious. However, a deeper investigation can lead through some useful links among various models. The current study aims present one such approach Gaussian model by connecting it with cumulative function rectangular distribution. Some characteristics distribution, as quantiles, are used achieve said objective. Further, derived distributional results have been design mechanism monitor real-time dependent electron gun file server processes. performance proposed monitoring methodology evaluated in terms signal, average run length, extra quadratic loss loss. expressions for signal mathematically supported tabular results. advocate usefulness effectively real-life

Language: Английский

Citations

0
Dependent and independent sampling techniques for modeling radiation and failure data DOI
Fatimah A. Almulhim, Dalia Kamal Alnagar, Mohamed Elleuch

et al.

Journal of Radiation Research and Applied Sciences, Journal Year: 2025, Volume and Issue: 18(2), P. 101377 - 101377

Published: March 1, 2025

Language: Английский

Citations

0
A new modified Sine-Weibull distribution for modeling medical data with dynamic structures DOI
H. E. Semary, Ahmad Abubakar Suleiman, Aliyu Ismail Ishaq

et al.

Journal of Radiation Research and Applied Sciences, Journal Year: 2025, Volume and Issue: 18(2), P. 101427 - 101427

Published: March 21, 2025

Language: Английский

Citations

0
Different Estimation Methods for the Unit Xgamma Distribution Using Ranked Set Sampling DOI Creative Commons

Diaa S. Metwally,

Amal S. Hassan, Ehab M. Almetwally

et al.

Engineering Reports, Journal Year: 2025, Volume and Issue: 7(5)

Published: May 1, 2025

ABSTRACT Ranked set sampling (RSS) is an efficient method when ranking observations easier than precise measurement. Unlike simple random (SRS), RSS can reduce costs. The unit Xgamma distribution (UXGD), defined over the interval (0,1), effectively captures characteristics of negatively skewed datasets. This study aims to comprehensively compare several estimation methods, including maximum likelihood, Anderson‐Darling, Kolmogorov, ordinary least squares, Anderson‐Darling left tail second order, Cramer‐von‐Mises, weighted product spacing, right and five types minimum spacing distance for UXGD parameter under both SRS techniques. Through extensive simulations, we evaluate performance these estimators using multiple criteria designs. We rank based on their schemes. Simulation findings indicate that likelihood methods are superior alternative approaches assessing estimated quality SRS, respectively. It interesting note datasets, estimates revealed by our model satisfy consistency property. With increase in sample size, approach true values. Furthermore, results highlight efficiency gains as evidenced improved accuracy metrics. Two real‐world applications, COVID‐19 data from United Kingdom France, demonstrate practical utility findings.

Language: Английский

Citations

0
Estimation methods based on ranked set sampling for the power logarithmic distribution DOI Creative Commons
Najwan Alsadat, Amal S. Hassan, Mohammed Elgarhy

et al.

Scientific Reports, Journal Year: 2024, Volume and Issue: 14(1)

Published: July 31, 2024

Abstract The sample strategy employed in statistical parameter estimation issues has a major impact on the accuracy of estimates. Ranked set sampling (RSS) is highly helpful technique for gathering data when it difficult or impossible to quantify units population. A bounded power logarithmic distribution (PLD) been proposed recently, and may be used describe many real-world sets. In current work, three parameters PLD are estimated using RSS technique. number conventional estimators maximum likelihood, minimum spacing absolute log-distance, square distance, Anderson-Darling, product spacings, least squares, Cramer-von-Mises, log Linex distance investigated. different estimates via compared with their simple random (SRS) counterparts. We found that estimate appears best option based our simulation results SRS Estimates generated from sets less efficient than those derived usefulness also investigated by means real example.

Language: Английский

Citations

3
Optimal Estimation of Power Chris-Jerry DistributionParameters Using Ranked Set Sampling Design withApplication DOI Creative Commons
Najwan Alsadat, Amal S. Hassan, Mohammed Elgarhy

et al.

Research Square (Research Square), Journal Year: 2024, Volume and Issue: unknown

Published: May 21, 2024

Abstract Effective sample design has a major role in the quality of parameter estimation statisticalparameter issues. The ranking set sampling (RSS) strategy is effective and less costlyoption than simple random (SRS). A novel mixture continuous lifetime distribution thathas been proposed recently power Chris-Jerry (PC-JD). It useful for modelinga number real data sets. This paper investigates RSS approach estimating PC-JD’sparameters. There are roughly sixteen different techniques that used, such as themaximum likelihood method, percentiles some methods based on minimum distance,the Kolmogorov maximum spacing distances. Incomparison to SRS, simulation research assesses performance suggested RSS-basedestimates terms measures accuracy. To identify optimal strategy, thepartial overall ranks many estimates shown. According numerical results, maximumlikelihood seems be quite beneficial evaluating estimated SRS.RSS more SRS owing its better efficiency. Additionally, thedifferent with survival both examined

Language: Английский

Citations

0
Survival analysis based on an enhanced Rayleigh-inverted Weibull model DOI Creative Commons
Mohammed Elgarhy, Mohamed Kayid, Arne Johannssen

et al.

Heliyon, Journal Year: 2024, Volume and Issue: 10(16), P. e35851 - e35851

Published: Aug. 1, 2024

This study proposes a two-parameter survival model based on the Kavya-Manoharan transformation family and Rayleigh-inverted Weibull distribution, so-called Kavya-Manoharan-Rayleigh inverted distribution (KMRIWD). Various reliability measures statistical properties of this are analyzed. The parameters estimated using maximum likelihood method different sampling techniques. Using Monte Carlo simulations, performance estimators is evaluated compared. Finally, numerous competitors compared real data sets, it shown that KMRIWD has better fit than all competitors.

Language: Английский

Citations

0