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226Ra irradiation to produce 225Ac and 213Bi in an accelerator-driven system reactor

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Nuclear Science and Techniques 2020年第5期31卷 12-17页

作者： amer A.al Qaaod Volodymyr Gulik International Centre for Theoretical Physics(ICTP) TriesteItaly Institute for Safety Problems of NPPs KyivUkraine

This study aims to produce 229Th using an innovative nuclear reactor concept,i.e.,accelerator-driven system(ADS)***,we investigated the feasibility of producing 229Th from neutron transmutation of 226Ra to expand the availability of 225Ac and 213Bi in a simple model of ADS *** reactor comprises two zones,i.e.,an inner zone with a fast neutron spectrum and outer zone with thermal neutron spectrum,which is a subcritical core coupled with an external neutron *** behavior,activity,and mass ratio of the obtained isotopes were investigated using the Monte-Carlo *** addition with offering the capability,flexibility,and safety of radioactive waste transmutation,the proposed ADS model provides high 229Th yield and requires less time than a critical reactor with the same neutron flux and irradiated quantity of 226Ra.

关键词： 229Th production 226Ra irradiation Targeted alpha therapy ADS reactor Monte Carlo

Novel entropy estimators of a continuous random variable

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International Journal of Modeling, Simulation, and Scientific Computing 2019年第2期10卷 95-113页

作者： amer Ibrahim al-Omari Abdul Haq Department of Mathematics Faculty of Science Al al-Bayt UniversityMafraq25113Jordan†Department of StatisticsQuaid-i-Azam University I slamabad45320Pakistan

This paper presents some novel entropy estimators of a continuous random variable using simple random sampling(SRS),ranked set sampling(RSS),and double RSS(DRSS)*** theoretical results of the proposed entropy estimators are *** proposed entropy estimators are compared in terms of the bias and the root mean squared errors,theoretically and numerically,with the Vasicek O.[A test for normality based on sample entropy,***.B 38:54–59,1976.]entropy estimators using SRS,RSS,and DRSS *** turns out that the new novel entropy estimators are substantially better than the existing Vasicek’s entropy estimators.

关键词： Entropy bias root mean-squared error double ranked set sampling ranked set sampling simple random sampling

Inverse Length Biased Maxwell Distribution:Statistical Inference with an Application

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Computer Systems Science & Engineering 2021年第10期39卷 147-164页

作者： amer Ibrahim al-Omari Ayed R.A.alanzi Department of Mathematics Faculty of ScienceAl al-Bayt UniversityMafraqJordan Department of Mathematics College of Science and Human Studies at Hotat SudairMajmaah UniversityMajmaah 11952Saudi Arabia

In this paper,we suggested and studied the inverse length biased Maxell distribution(ILBMD)as a new continuous distribution of one *** ILBMD is obtained by considering the inverse transformation technique of the Maxwell length biased *** characteristics of the ILBMD such as the moments,moment generating function,mode,quantile function,the coefficient of variation,coefficient of skewness,Moors and Bowley measures of kurtosis and skewness,stochastic ordering,stress-strength reliability,and mean deviations are *** addition,the Bonferroni and Lorenz curves,Gini index,the reliability function,the hazard rate function,the reverse hazard rate function,the odds function,and the distributions of order statistics for the ILBMD,are *** ILBMD parameter is estimated using the maximum likelihood method,the method of moments,the maximum product of spacing technique,the ordinary and weight least square procedures,and the Cramer-Von-Mises *** Fishers information,as well as the Rényi and q-entropies,are *** investigate the usefulness of the proposed lifetime distribution and to illustrate the purpose of the study,a real dataset of the relief times of 20 patients receiving an analgesic is used.

关键词： Maxell distribution inverse length biased Maxwell distribution Fisher’s information methods of estimation goodness of fit tests

New Improved Ranked Set Sampling Designs with an Application to Real Data

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Computers, Materials & Continua 2021年第5期67卷 1503-1522页

作者： amer Ibrahim al-Omari Ibrahim M.almanjahie Department of Mathematics Faculty of ScienceAl al-Bayt UniversityMafraqJordan Department of Mathematics College of ScienceKing Khalid UniversityAbha62529Saudi Arabia Statistical Research and Studies Support Unit King Khalid UniversityAbha62529Saudi Arabia

This article proposes two new Ranked Set Sampling(RSS)designs for estimating the population parameters:Simple Z Ranked Set Sampling(SZRSS)and Generalized Z Ranked Set Sampling(GZRSS).These designs provide unbiased estimators for the mean of symmetric *** is shown that for non-uniform symmetric distributions,the estimators of the mean under the suggested designs are more efcient than those obtained by RSS,Simple Random Sampling(SRS),extreme RSS and truncation based RSS ***,the proposed RSS schemes outperform other RSS schemes and provide more efcient estimates than their competitors under imperfect *** suggested mean estimators under perfect and imperfect rankings are more efcient than the linear regression estimator under *** proposed RSS designs are also extended to cover the estimation of the population *** data is used to examine wthe usefulness and efciency of our estimators.

关键词： Ranked set sampling unbiased estimator simple random sampling mean squared error efciency imperfect ranking

The Robust Regression Methods for Estimating of Finite Population Mean Based on SRSWOR in Case of Outliers

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Computers, Materials & Continua 2020年第10期65卷 125-138页

作者： Mir Subzar amer Ibrahim al-Omari Ayed R.A.alanzi Division of Agricultural Statistics SKUAST-K Shalimar190025India Department of Mathematics Faculty of ScienceAl al-Bayt UniversityMafraq25113Jordan Department of Mathematics College of Science and Human Studies at HotatSudairMajmaah UniversityMajmaah11952Saudi Arabia

The ordinary least square(OLS)method is commonly used in regression *** in the presence of outlier in the data,its results are ***,the robust regression methods have been suggested for a long time as alternatives to the OLS to solve the outliers *** the present study,new ratio type estimators of finite population mean are suggested using simple random sampling without replacement(SRSWOR)utilizing the supplementary information in Bowley’s coefficient of skewness with *** these proposed estimators,we have used the OLS,Huber-M,Mallows GM-estimate,Schweppe GM-estimate,and SIS GM-estimate methods for estimating the population ***,the mean square error(MSE)equations of various estimators are obtained and compared with the OLS *** for skewed distributions as the Gamma distribution support the results,and an application of real data set containing outliers is considered for illustration.

关键词： Efficiency GM-estimates Huber-M ordinary least square ratio type estimators

Acceptance Sampling Plans with Truncated Life Tests for the Length-Biased Weighted Lomax Distribution

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Computers, Materials & Continua 2021年第4期67卷 285-301页

作者： amer Ibrahim al-Omari Ibrahim M.almanjahie Olena Kravchuk Department of Mathematics Faculty of ScienceAl al-Bayt UniversityMafraqJordan Department of Mathematics College of ScienceKing Khalid UniversityAbha62529Saudi Arabia Statistical Research and Studies Support Unit King Khalid UniversityAbha62529Saudi Arabia School of Agriculture University of AdelaideAdelaideSA 5000Australia

In this paper,we considered the Length-biased weighted Lomax distribution and constructed new acceptance sampling plans(ASPs)where the life test is assumed to be truncated at a pre-assigned *** the new suggested ASPs,the tables of the minimum samples sizes needed to assert a specific mean life of the test units are *** addition,the values of the corresponding operating characteristic function and the associated producer’s risks are *** of two real data sets are presented to investigate the applicability of the proposed acceptance sampling plans;one data set contains the first failure of 20 small electric carts,and the other data set contains the failure times of the air conditioning system of an *** are made between the proposed acceptance sampling plans and some existing acceptance sampling plans considered in this study based on the minimum sample *** is observed that the samples sizes based on the proposed acceptance sampling plans are less than their competitors considered in this *** suggested acceptance sampling plans are recommended for practitioners in the field.

关键词： Acceptance sampling plan producer’s risk truncated life tests operating characteristic function length-biased weighted lomax distribution consumer’s risk

Microwave-assisted solvothermal synthesis of ZSM-22 zeolite with controllable crystal lengths

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Particuology 2016年第1期14卷 138-141页

作者： Anas K. Jamil Oki Muraza Adnan M. al-amer Chemical Engineering Department and Center of ExceUence in Nanotechnology King Fahd University of Petroleum and Minerals PO Box 5040Dhahran 32161 East Province Saudi Arabia

ZSM-22 （TON） zeolite crystal morphology was successfully controlled using a microwave-assisted solvothermal fabrication method. Different co-solvents, including ethanol, 2-propanol, glycerol, and ethylene glycol, were also applied in the synthesis mixture. The effects of various parameters such as the aging time, the type and amount of co-solvent on the ZSM-22 crystal aspect ratio were investigated. When employing this microwave irradiation synthesis, a long aging time was crucial to obtain smaller and more uniform crystal sizes. The addition of co-solvent resulted in elongated ZSM-22 crystals, regard- less of the actual co-solvent used, although ZSM-22 zeolite crystallinity was sensitive to the co-solvent type. In general, the use of a co-solvent stimulated the appearance of ZSM-5 zeolite as an impurity and the amount of this impurity was proportional to the concentration of co-solvent in the synthesis mixture.

关键词： Crystal morphology Nucleation Solvent Hydrothermal crystal growth Crystal structure

The Modified Simple Equation Method and the Multiple Exp-function Method for Solving Nonlinear Fractional Sharma-Tasso-Olver Equation

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Acta Mathematicae Applicatae Sinica 2016年第4期32卷 793-812页

作者： Elsayed M.E.ZAYED Yaser A.amer Abdul-Ghani al-NOWEHY Mathematics Department Faculty of SciencesZagazig University Mathematics Department Faculty of EducationAin Shams University

In this article, the fractional derivatives in the sense of the modified Riemann-Liouville derivatives together with the modified simple equation method and the multiple exp-function method are employed for constructing the exact solutions and the solitary wave solutions for the nonlinear time fractional Sharma-Tasso- Olver equation. With help of Maple, we can get exact explicit l-wave, 2-wave and 3-wave solutions, which include l-soliton, 2-soliton and 3-soliton type solutions if we use the multiple exp-function method while we can get only exact explicit l-wave solution including l-soliton type solution if we use the modified simple equation method. Two cases with specific values of the involved parameters are plotted for each 2-wave and 3-wave solutions.

关键词： modified simple equation method multiple exp-function method nonlinear fractional partialdifferential equations exact solution solitary wave solutions 1-wave solution 2-wave solution 3-wave solution

Improved Attribute Chain Sampling Plan for Darna Distribution

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Computer Systems Science & Engineering 2021年第9期38卷 381-392页

作者： Harsh Tripathi amer Ibrahim al-Omari Mahendra Saha Ayed R.A.alanzi Department of Statistics Central University of RajasthanRajasthanIndia Department of Mathematics Faculty of ScienceAl al-Bayt UniversityMafraqJordan Department of Mathematics College of Science and Human Studies at HotatSudairMajmaah UniversityMajmaah 11952Saudi Arabia

Recently,the Darna distribution has been introduced as a new lifetime *** two-parameter Darna distribution represents is a mixture of two well-known gamma and exponential distributions.A manufacturer or an engineer of products conducts life testing to examine whether the quality level of products meets the customer’s requirements,such as reliability or the minimum *** this article,an attribute modified chain sampling inspection plan based on the time truncated life test is proposed for items whose lifetime follows the Darna *** plan parameters,including the sample size,the acceptance number,and the past lot result of the proposed sampling plan,are determined with the help of the two-point approach considering the acceptable quality level(AQL)and the limiting quality level(LQL).The plan parameters and the corresponding operating characteristic functions of a new plan are provided in tabular form for various Darna distribution ***,a few illustrated examples are presented for various distribution *** usefulness of the proposed attribute modified chain sampling plan is investigated using two real failure time *** results indicate that the proposed sampling plan can reduce the sample size when the termination ratio increases for fixed values of the producer’s risk and acceptance ***,the proposed attribute modified chain sampling inspection plan is recommended to practitioners in the field.

关键词： Attribute chain sampling inspection plan consumer’s risk Darna distribution operating characteristic curve producer’s risk truncated life test