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Efficient Process Monitoring Under General Weibull Distribution

Computer Systems Science & Engineering 2022年第1期40卷 287-297页

作者： Saman Hanif shahbaz muhammad qaiser shahbaz Department of Statistics King Abdulaziz UniversityJeddahKingdom of Saudi Arabia

Product testing is a key ingredient in maintaining the quality of a pro-duction *** production process is considered an efficient process if it is capable of quick identification of faulty *** items produced by any production process are usually packed and acceptance or rejection of the pack depends upon its conformity to some specified quality ***,the specified quality level is based upon the number of defective items found in the inspected number of *** decisions are based upon some rules and usually acceptance of the pack is based upon a fewer number of defective items in the *** questions can be answered by using acceptance sampling *** acceptance sampling plans assume the fact that the quality level of the item follows some probability *** sampling plans based upon some classical probability distributions are available but often it happens that the quality behavior of the product does not follow a simple probability model and hence the available sampling plans *** this paper,we have developed acceptance sampling plans when the product life follows a general Weibull *** sampling plans have been constructed by considering the crisp and fuzzy behavior of the acceptance *** sampling plans have been constructed by assuming an infinite lot *** has been found that the number of items required for inspection decreases with an increase in some parameters.

关键词： General Weibull distribution sampling plans acceptance probability fuzzy plan

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Bivariate Beta–Inverse Weibull Distribution:Theory and Applications

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Computer Systems Science & Engineering 2021年第1期36卷 83-100页

作者： Ali Algarni muhammad qaiser shahbaz Department of Statistics Faculty of ScienceKing Abdulaziz UniversityJeddahSaudi Arabia

Probability distributions have been in use for modeling of random phenomenon in various areas of *** of probability distributions has been the area of interest of several authors in the recent *** situations arise where joint modeling of two random phenomenon is *** such cases the bivariate distributions are *** of the bivariate distributions necessitates certain conditions,in a field where few work has been *** paper deals with a bivariate beta-inverse Weibull *** marginal and conditional distributions from the proposed distribution have been *** for the joint and conditional density functions for the proposed distribution have been *** properties,including product,marginal and conditional moments,joint moment generating function and joint hazard rate function of the proposed bivariate distribution have been *** study for the dependence function has been implemented to see the effect of various parameters on the dependence of *** of the parameters of the proposed bivariate distribution has been done by using the maximum likelihood method of *** and real data application of the distribution are presented.

关键词： Bivariate beta distribution inverse Weibull distribution conditional moments maximum likelihood estimation

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On Relations for Moments of Generalized Order Statistics for Lindley–Weibull Distribution

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Computer Systems Science & Engineering 2022年第4期41卷 197-208页

作者： Faten A.Momen khan Saman Hanif shahbaz muhammad qaiser shahbaz Department of Statistics University of JeddahJeddahKingdom of Saudi Arabia Department of Statistics King Abdulaziz UniversityJeddahKingdom of Saudi Arabia

Moments of generalized order statistics appear in several areas of science and *** moments are useful in studying properties of the random variables which are arranged in increasing order of importance,for example,time to failure of a computer *** computation of these moments is sometimes very tedious and hence some algorithms are *** algorithm is to use a recursive method of computation of these moments and is very useful as it provides the basis to compute higher moments of generalized order statistics from the corresponding lower-order *** order statistics pro-vides several models of ordered data as a special *** moments of general-ized order statistics also provide moments of order statistics and record values as a special *** this research,the recurrence relations for single,product,inverse and ratio moments of generalized order statistics will be obtained for Lindley–Weibull *** relations will be helpful for obtained moments of gen-eralized order statistics from Lindley–Weibull distribution *** cases of the recurrence relations will also be *** characterizations of the distribution will also be obtained by using moments of generalized order *** relations for moments and characterizations can be used in differ-ent areas of computer sciences where data is arranged in increasing order.

关键词： Generalized order statistics Lindley–Weibull distribution recurrence relations moments

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The Bivariate Transmuted Family of Distributions:Theory and Applications

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Computer Systems Science & Engineering 2021年第1期36卷 131-144页

作者： Jumanah Ahmed Darwish Lutfiah Ismail Al turk muhammad qaiser shahbaz Department of Statistics Faculty of ScienceKing Abdulaziz UniversityJeddahSaudi Arabia

The bivariate distributions are useful in simultaneous modeling of two random *** distributions provide a way to model *** bivariate families of distributions are not much widely explored and in this article a new family of bivariate distributions is *** new family will extend the univariate transmuted family of distributions and will be helpful in modeling complex joint *** properties of the new family of distributions are explored which include marginal and conditional distributions,conditional moments,product and ratio moments,bivariate reliability and bivariate hazard rate *** maximum likelihood estimation(MLE)for parameters of the family is also carried *** proposed bivariate family of distributions is studied for the Weibull baseline distributions giving rise to bivariate transmuted Weibull(BTW)*** new bivariate transmuted Weibull distribution is explored in *** properties of the new BTW distribution are studied which include the marginal and conditional distributions,product,ratio and conditional *** hazard rate function of the BTW distribution is *** estimation of the BTW distribution is also ***,real data application of the BTW distribution is *** is observed that the proposed BTW distribution is a suitable fit for the data used.

关键词： Transmuted Distributions (T-X)family of distributions bivariate transmuted family of distributions Weibull distribution maximum likelihood estimation

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