Amer Ibrahim Al‐Omari
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View article: Estimation of the Inverse Power Lindley Distribution Parameters Using Ranked Set Sampling with an Application to Failure Time Data
Estimation of the Inverse Power Lindley Distribution Parameters Using Ranked Set Sampling with an Application to Failure Time Data Open
In this paper, the ranked set sampling method (RSS) is considered for estimating the inverse power Lindley distribution (IPLD) parameters and compared with the commonly simple random sampling. Different estimation methods are investigated …
View article: Imputation of missing data for domain mean estimation using simple random sampling
Imputation of missing data for domain mean estimation using simple random sampling Open
The estimate of domain mean is a significant issue in sample surveys. However, if the data is missing, it becomes very necessary. In the case of missing data, this paper proposes some direct and synthetic domain mean estimators using simpl…
View article: Induced Bilal Distribution: Statistical Properties with Applications to Model Precipitation and Vinyl Chloride Data
Induced Bilal Distribution: Statistical Properties with Applications to Model Precipitation and Vinyl Chloride Data Open
This paper proposes a new one parameter life distribution called induced Bilal distribution for modeling some real data. The main mathematical characteristics of this distribution are derived and discussed including the cumulative distribu…
View article: Enhanced Estimation of the Unit Lindley Distribution Parameter via Ranked Set Sampling with Real-Data Application
Enhanced Estimation of the Unit Lindley Distribution Parameter via Ranked Set Sampling with Real-Data Application Open
This paper investigates various estimation methods for the parameters of the unit Lindley distribution (U-LD) under both ranked set sampling (RSS) and simple random sampling (SRS) designs. The distribution parameters are estimated using th…
View article: Power Length-Biased New XLindley Distribution: Properties and Modeling of Real Data
Power Length-Biased New XLindley Distribution: Properties and Modeling of Real Data Open
The increasing complexity of modern lifetime data necessitates the development of more flexible probability models. To address this need, we propose the power length-biased new XLindley (PLNXL) distribution, a novel two-parameter model tai…
View article: Parameter estimation for the transmuted inverse Rayleigh distribution using ranked set sampling: Applications and analysis
Parameter estimation for the transmuted inverse Rayleigh distribution using ranked set sampling: Applications and analysis Open
This paper examines various estimation methods for the parameters of the transmuted inverse Rayleigh distribution (TIRD) using both ranked set sampling (RSS) and simple random sampling (SRS) designs. The parameters are estimated using maxi…
View article: Reliability assessment through group acceptance sampling under the Darna distribution
Reliability assessment through group acceptance sampling under the Darna distribution Open
View article: Parameter estimation in the Farlie–Gumbel–Morgenstern bivariate Bilal distribution via multistage ranked set sampling
Parameter estimation in the Farlie–Gumbel–Morgenstern bivariate Bilal distribution via multistage ranked set sampling Open
Ranked set sampling is a well-known and efficient method compared to simple random sampling for estimating population parameters. In this study, we focus on the challenge of estimating the scale parameter of the primary variable $ Z $ usin…
View article: Except-Extremes Ranked Set Sampling for Estimating the Population Variance with Two Applications of Real Data Sets
Except-Extremes Ranked Set Sampling for Estimating the Population Variance with Two Applications of Real Data Sets Open
The ranked set sampling (RSS) procedure was initially established by McIntyre (1952) for estimating the mean of forage and pasture yield as more precise than simple random sampling (SRS). Recently, Aldrabseh and Ismail (2023) suggested the…
View article: Gamma Lindley distribution in acceptance sampling plans in terms of truncated life tests with an application to industrial data
Gamma Lindley distribution in acceptance sampling plans in terms of truncated life tests with an application to industrial data Open
Acceptance sampling plans (ASP) are needed in areas where 100% inspection is impractical or expensive. They help ensure product quality meets requirements, reduce inspection costs, and prevent nonconforming goods from reaching customers. T…
View article: Different estimation techniques and data analysis for constant-partially accelerated life tests for power half-logistic distribution
Different estimation techniques and data analysis for constant-partially accelerated life tests for power half-logistic distribution Open
View article: Acceptance sampling plans based on percentiles for extended generalized exponential distribution with real data application
Acceptance sampling plans based on percentiles for extended generalized exponential distribution with real data application Open
View article: On some robust imputation methods in presence of correlated measurement errors with real data applications
On some robust imputation methods in presence of correlated measurement errors with real data applications Open
Missing data occurs frequently in sample surveys. Numerous imputation techniques have been proposed to tackle the problem of missing data, and, in fact, limited works are available in the literature to deal with the issue of missingness wh…
View article: The unit two parameters Mirra distribution: Reliability analysis, properties, estimation and applications
The unit two parameters Mirra distribution: Reliability analysis, properties, estimation and applications Open
To define useful numbers having values from 0 to 1, as percentages, probabilities, and proportions, the unit probability models are often employed in probability and statistics. In this paper, a new two-parameter model on the unit interval…
View article: A flexible model for bounded data with bathtub shaped hazard rate function and applications
A flexible model for bounded data with bathtub shaped hazard rate function and applications Open
The unit new X-Lindley distribution, which is a novel one-parameter distribution on the unit interval, is presented in this study. It was developed by altering the new X-Lindley distribution using the exponential transformation. This new o…
View article: Estimation based on Ranked Set Sampling for Farlie--Gumbel--Morgenstern Bivariate Weibull Distribution Parameters with an application to medical data
Estimation based on Ranked Set Sampling for Farlie--Gumbel--Morgenstern Bivariate Weibull Distribution Parameters with an application to medical data Open
In this article, we address the problem of estimating the parameters of Farlie-Gumbel-Morgenstern bivariate Weibull distribution using ranked set sample (RSS) design. The suggested estimators of the FGMBW distribution parameters are compar…
View article: Marshall-Olkin Bilal distribution with associated minification process and acceptance sampling plans
Marshall-Olkin Bilal distribution with associated minification process and acceptance sampling plans Open
In this paper, a new two parameters lifetime distribution, called Marshall-Olkin Bilal distribution is introduced and the structural properties are discussed. The proposed model results from the Marshall and Olkin class of distributions wi…
View article: Extropy Based on Concomitants of Order Statistics in Farlie-Gumbel-Morgenstern Family for Random Variables Representing Past Life
Extropy Based on Concomitants of Order Statistics in Farlie-Gumbel-Morgenstern Family for Random Variables Representing Past Life Open
In this paper, we refined the concept of past extropy measure for concomitants of order statistics from Farlie-Gumbel-Morgenstern family. In addition, cumulative past extropy measure and dynamic cumulative past extropy measure for concomit…
View article: Asymmetric Right-Skewed Size-Biased Bilal Distribution with Mathematical Properties, Reliability Analysis, Inference and Applications
Asymmetric Right-Skewed Size-Biased Bilal Distribution with Mathematical Properties, Reliability Analysis, Inference and Applications Open
Asymmetric distributions, as opposed to symmetric distributions, may be more resilient to extreme values or outliers. Furthermore, when data show substantial skewness, asymmetric distributions can shed light on the underlying processes or …
View article: Mean Estimation for Time-Based Surveys Using Memory-Type Logarithmic Estimators
Mean Estimation for Time-Based Surveys Using Memory-Type Logarithmic Estimators Open
This article examines the issue of population mean estimation utilizing past and present data in the form of an exponentially weighted moving average (EWMA) statistic under simple random sampling (SRS). We suggest memory-type logarithmic e…
View article: Zeghdοudi distribution in acceptance sampling plans based on truncated life tests with real data application
Zeghdοudi distribution in acceptance sampling plans based on truncated life tests with real data application Open
The acceptance sampling plan (ASP) is one of the key statistics resources in the industrial sector. It entails the decision-making process for accepting or rejecting the products. The investigated quality parameter is the test unit's mean …
View article: On the mixture of Shanker and gamma distributions with applications to engineering data
On the mixture of Shanker and gamma distributions with applications to engineering data Open
There are several reliability and life testing challenges that may be solved using the gamma and Shanker distributions. In this paper, a new lifetime model of two parameters is suggested, referred to as Shanker-Gamma distribution (SGD). Th…
View article: Stress–Strength Modeling Using Median-Ranked Set Sampling: Estimation, Simulation, and Application
Stress–Strength Modeling Using Median-Ranked Set Sampling: Estimation, Simulation, and Application Open
In this study, we look at how to estimate stress–strength reliability models, R1 = P (Y < X) and R2 = P (Y < X), where the strength X and stress Y have the same distribution in the first model, R1, and strength X and stress Z have differen…
View article: The Power Zeghdoudi Distribution: Properties, Estimation, and Applications to Real Right-Censored Data
The Power Zeghdoudi Distribution: Properties, Estimation, and Applications to Real Right-Censored Data Open
A new two-parameter power Zeghdoudi distribution (PZD) is suggested as a modification of the Zeghdoudi distribution using the power transformation method. As a result, the PZD may have increasing, decreasing, and unimodal probability densi…
View article: Improved Estimation of the Inverted Kumaraswamy Distribution Parameters Based on Ranked Set Sampling with an Application to Real Data
Improved Estimation of the Inverted Kumaraswamy Distribution Parameters Based on Ranked Set Sampling with an Application to Real Data Open
The ranked set sampling (RSS) methodology is an effective technique of acquiring data when measuring the units in a population is costly, while ranking them is easy according to the variable of interest. In this article, we deal with an RS…
View article: Three-fold utilization of supplementary information for mean estimation under median ranked set sampling scheme
Three-fold utilization of supplementary information for mean estimation under median ranked set sampling scheme Open
Ranked set sampling (RSS) has created a broad interest among researchers and it is still a unique research topic. It has at long last begun to find its way into practical applications beyond its initial horticultural based birth in the fun…
View article: Goodness-of-Fit Tests for Weighted Generalized Quasi-Lindley Distribution Using SRS and RSS with Applications to Real Data
Goodness-of-Fit Tests for Weighted Generalized Quasi-Lindley Distribution Using SRS and RSS with Applications to Real Data Open
This paper deals with the problem of goodness-of-fit tests (GFTs) for the weighted generalized quasi-Lindley distribution (WGQLD) using ranked set sampling (RSS) and simple random sampling (SRS) techniques. The tests are based on the empir…
View article: On Some Improved Class of Estimators by Using Stratified Ranked Set Sampling
On Some Improved Class of Estimators by Using Stratified Ranked Set Sampling Open
In this manuscript, we propose the combined and separate difference and ratio type estimators of population mean using stratified ranked set sampling. Additionally, several well-known estimators are identified as the sub-class of the sugge…
View article: Efficient Estimation of Two-Parameter Xgamma Distribution Parameters Using Ranked Set Sampling Design
Efficient Estimation of Two-Parameter Xgamma Distribution Parameters Using Ranked Set Sampling Design Open
An efficient method such as ranked set sampling is used for estimating the population parameters when the actual observation measurement is expensive and complicated. In this paper, we consider the problem of estimating the two-parameter x…
View article: The odd inverted Topp Leone–H family of distributions: Estimation and applications
The odd inverted Topp Leone–H family of distributions: Estimation and applications Open
This paper offers the odd inverted Topp–Leone family of probability distributions with new statistical models capable of fitting data in various fields. Different density function shapes as well as different shapes of hazard rate are obser…