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

Estimation methods based on ranked set sampling for the arctan uniform distribution with application DOI Creative Commons
Salem A. Alyami, Amal S. Hassan, Ibrahim Elbatal

et al.

AIMS Mathematics, Journal Year: 2024, Volume and Issue: 9(4), P. 10304 - 10332

Published: Jan. 1, 2024

<abstract><p>The arctan uniform distribution (AUD) is a brand-new bounded that may be used for modeling variety of existing real-world datasets. Ranked set sampling (RSS) useful technique parameter estimation when accurate measurement the observation challenging and/or expensive. In current study, estimator AUD addressed based on RSS and simple random (SRS) techniques. Some popular conventional estimating techniques are considered. The efficiency produced estimates compared using Monte Carlo simulation. It appears maximum product spacing method has an advantage in assessing quality proposed outcomes our simulations both SRS comparison to from datasets, it can seen those datasets more reliable. This implies effective terms generating with smaller mean squared error. benefit design over further supported by real data results.</p></abstract>

Language: Английский

Citations

8
Bayesian and non-Bayesian inference for the compound Poisson log-normal model with application in finance DOI Creative Commons
Muqrin A. Almuqrin

Alexandria Engineering Journal, Journal Year: 2024, Volume and Issue: 90, P. 24 - 43

Published: Jan. 29, 2024

In this article, we described a novel class of distributions that can be analyzed in complex and skewed real data sets. We called the proposed distribution as compound Poisson log-normal model, it obtained by compounding truncated random variables. The baseline special case. article derives different fundamental statistical properties such quantile function, moments, moment-generating information measures. Further, estimation unknown parameters is derived using classical Bayesian procedures via numerous loss functions. associated confidence intervals also from approximate bootstrap methods. potential estimators computed experiment simulation studies to show best most efficient method estimation. Finally, illustrate two financial sets see effectiveness suggested model among other distributions.

Language: Английский

Citations

7
Statistical inference for a novel distribution using ranked set sampling with applications DOI Creative Commons
Hassan M. Aljohani

Heliyon, Journal Year: 2024, Volume and Issue: 10(5), P. e26893 - e26893

Published: Feb. 27, 2024

Working on symmetrical or asymmetrical data is complicated since each requires a different probability density function. Many statistical distributions can be used for these types, where choosing one should satisfied with the correct type. So, we apply ranked set sampling technique, which essential in gaining when dealing units population expensive. However, their classification simple according to variable of interest. The Unit Generalized Rayleigh distribution has recently played crucial role analyzing complex sets specifically modeling claim and risk actuarial financial studies, its take symmetric asymmetric possible shapes. It proposed various areas, such as reliability, survival, economics, science, insurance. We applied design this article model parameter estimations unit generalized model. Different estimation procedures measures are computed. Moreover, performance illustrated via numerical simulation experiments. Under estimators, conduct validation suggested numerous Monte Carlo experiments by computing average bias mean squared errors. At end, two real applications area demonstrating potential supremacy estimators.

Language: Английский

Citations

4
Statistical inference and data analysis for inverted Kumaraswamy distribution based on maximum ranked set sampling with unequal samples DOI Creative Commons
Amal S. Hassan, Samah A. Atia

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

Published: Oct. 26, 2024

Abstract A very useful modification to ranked set sampling (RSS) that allows a larger size without significantly increasing ranking errors is the maximum with unequal samples (MRSSU) approach. This article covers parameter estimation of inverted Kumaraswamy distribution using MRSSU and RSS designs. The likelihood Bayesian techniques are considered. regarded technique determined in case non-informative informative priors represented by Jeffreys gamma priors, respectively. Squared error minimum expected two loss functions employed. We presented simulation study evaluate performance recommended estimations root mean squared relative bias. Bayes point estimates were computed Metropolis–Hastings algorithm. Additional conclusions have been made based on actual geological data regarding intervals between Kiama Blowhole’s 64 consecutive eruptions. Based same number measured units, results real analysis showed estimators performed much better than their counterparts.

Language: Английский

Citations

4
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
The new Topp-Leone exponentied exponential model for modeling financial data DOI Creative Commons
Hassan Alsuhabi

Mathematical Modelling and Control, Journal Year: 2024, Volume and Issue: 4(1), P. 44 - 63

Published: Jan. 1, 2024

<abstract><p>We proposed in this article a new three-parameter distribution, which is referred as the Topp-Leone exponentiated exponential model proposed. It used modeling claim and risk data applied actuarial insurance studies. The probability density function of suggested distribution can be unimodel positively skewed. Different distributional mathematical properties TL-EE were provided. Furthermore, we established maximum likelihood estimation method for estimating unknown parameters involved model, some measures calculated. Also, potential these statistics provided via numerical simulation experiments. Finally, two real datasets losses analyzed to prove performance superiority among all its competitors distributions.</p></abstract>

Language: Английский

Citations

2
A Novel Three-Parameter Nadarajah Haghighi Model: Entropy Measures, Inference, and Applications DOI Open Access
Etaf Alshawarbeh, Fatimah M. Alghamdi,

Mohammed Amine Meraou

et al.

Symmetry, Journal Year: 2024, Volume and Issue: 16(6), P. 751 - 751

Published: June 16, 2024

The fitting and modeling of skewed, complex, symmetric, asymmetric datasets is an exciting research topic in many fields applied sciences: notably, lifetime, medical, financial sciences. This paper introduces a heavy-tailed Nadarajah Haghighi model by compounding the family distribution. obtained has three parameters that account for scale shape proposed distribution’s fundamental characteristics, such as probability density, cumulative distribution, hazard rate, survival functions, are provided, several key statistical properties established, entropy information measures proposed. Estimation performed via maximum likelihood estimator procedure. Further, different simulation experiments conducted to demonstrate estimator’s performance using like average estimate, bias, associated mean square error. Finally, we apply our analyze real datasets. In illustration, compare practicality recommended with well-known competing models.

Language: Английский

Citations

1