Robust Assessment on the Developments of Three Extended Exponential Models with Some New Properties and Applications

The extended exponential distribution introduced by Nadarajah and Haghighi in the year 2011, which is nowadays well known as NH distribution, has received increased attention in these days. In this paper, we provide a robust assessment report on the development of three more related extended versions of exponential (or Weibull) distributions. We assessed that which model was published earlier than the other ones and why the pioneer work was not cited properly or overlooked. For example, power generalized Weibull (PGW) introduced by Bagdonavic̆ios and Nikulin (and Nikulin and Haghighi) and extended Weibull by Dimitrakopoulou, Adamidis, and Loukas, which we call here as the DAL model, were published earlier than the NH model. The developments of these three models are stated. A new method for the construction of NH and DAL models is outlined. A literature review on NH and DAL models is presented, and generalized classes from these models are discussed. Furthermore, some corrections in NH moments are suggested, and alternative expressions for moments and incomplete moments of NH and DAL models are also developed.

Aspects of the industrial manufacture of concentrates for haemodialysis

The import dependence of the pharmaceutical market of Ukraine on concentrates for hemodialysis determines the relevance of their manufacture. Elaboration of the transfer of drug development to industrial manufacture and, accordingly, the development of industrial technology of liquid acid concentrates for hemodialysis involves scaling the process, organization of production control, establishing critical points of the production and determining cleanliness classes for concentrates and risks, including ecological ones. The aim of the work is to develop approaches to the development of technology for industrial manufacture of acid concentrates for hemodialysis, identification of risks in the technological process and quality control, as well as analysis of major ecological risks and development of methods for their reduction. The object of the study was the regulatory and technical documentation regarding the requirements for hemodialysis concentrates, characterization of the hazard profile of acid concentrates as a source of pharmaceutical wastes and generalization of the information about them in the manufacture of acid concentrates. We used the results of our own experimental research on the development of concentrates. The system-survey method of research and content analysis were used in the analysis. On the basis of researches, it was to work up the approaches to the development of technology of industrial manufacture of acid concentrates. Requirements of various normative and technical documents for water for the manufacture were generalized, classes of cleanliness of industrial premises for the preparation of containers, preparation, filtering, and packing of solutions are offered. The scheme of pharmaceutical wastes of acid concentrates, which are formed during pharmaceutical development, industrial manufacture, and medical administration, is presented. The profile of their unsafety is given. Potential and real ecological risks in the manufacture of acid concentrates for hemodialysis and ways to minimize them are presented. The proposed stages of risk management for pharmaceutical waste during the manufacture of acid concentrates of hemodialysis include: determining the hazard profile of acid concentrates for the environment; identification of risks, as well as replenishment of knowledge about the hazard profile; planning and implementation of risk minimization measures as well as evaluation of the effectiveness of these risk reduction measures. Methods for eliminating the safety of pharmaceutical wastes of acid hemodialysis concentrates (dilution with water or electrolysis to obtain by-products) have been developed.

Generalized Classes of Estimators for Population Mean, Ratio and Product Using Rank of Auxiliary Character Under Double Sampling the Non-Respondents

In the present study, generalized classes of estimators for estimating population mean, ratio and product of two population means using rank of auxiliary character in presence of non-response are proposed. The bias and mean square error of proposed classes of estimators are obtained and their performances examined. Specific conditions under which the members of proposed classes of estimators attain minimum mean square error are obtained. Comparative study of the proposed classes of estimators with the relevant estimators is carried out. An empirical study is given to justify the efficiency of the proposed classes of estimators.

On dominions and varieties of bands

We have shown that a variety of left(right) normal bands is closed in some homotypical varieties. Further, we partially generalize a result of Isbell from the class of commutative semigroups to some generalized classes of commutative semigroups by showing that dominion of such semigroups belongs to same classes.

Electrocardiogram Beat Classification Using Data Filtration Technique and Support Vector Machine

This work addresses the automatic classification of arrhythmia beats into four generalized classes as described by the Association for the Advancement of Medical Instrumentation (AAMI) standard. We propose a method that includes time-series, statistical and frequency features of RR-interval, DWT, and EMD analysis of QRS morphology. Also, a data filtration technique using support vector selection and under-sampling is applied to find those features as well as data points having significant prediction capabilities. While testing the above combination on MIT-BIH arrhythmia database, adopting the inter-patient paradigm, we achieved 70%, 99.79%, 64.5%, and 80.55% Se and 61.76%, 94.64%, 83.22%, and 77.48% PPV for F, N, SVEB, and VEB classes respectively. Further, the proposed method reduced the classifier’s complexity through feature selection and computation time by data reduction while maintaining the generalization capability of the model. Another finding includes the significant contribution that RR-interval, 180–360 Hz and 0–45 Hz band power, and non-linear statistical characteristics have in distinguishing the arrhythmia classes. The feature and data selection criterion used is F -score and one-class classification by RBF-SVM respectively. The classifier used for building the final model is SVM with the cubic kernel.

Recent Developments in Distribution Theory: A Brief Survey and Some New Generalized Classes of distributions

The generalization of the classical distributions is an old practice and has been considered as precious as many other practical problems in statistics. These generalizations started with the introduction of the additional location, scale or shape parameters. In the last couple of years, this branch of statistics has received a great deal of attention and quite a few new generalized class of distributions have been introduced. We present a brief survey of this branch and introduce several new families as well.