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In this paper a failure model of the mixed Inverse Weibull distributions(MIWD) is considered and its estimators for all unknown parameters based on type-II and type-I censored data are obtained by means of ENI-Algorithm. Some simulations suggest that EM algorithm is effective to our model. Keywords mixed Inverse Weibull distribution, failure model, EM-algorithm, censored data., [section]1. Introduction Mixture models play a important role in many applicable fields, such as medicine, psychology research, cluster analysis, life testing and reliability analysis and so on. Mixture distributions have [...]

Abstract Let n be any positive integer, the famous Smarandache function S(n) is defined by S(n) = min{m : n|m!}. The main purpose of this paper is using the elementary [...]

Some kinds of vinegars are studied for identification. First, their ultraviolet spectrum curves are obtained by evaporation and ultraviolet spectrum scanning under the conditions of wavelength at 245~ 330nm, quantity dilution ratio of the liquid at1:6, evaporation temperature at 45[degrees] C, mass concentration of reference at 45g/L. Then, the data are analyzed by the method of pattern recognition, such as Euclid (Mahalanobis) distance, linear discriminant analysis, principal component analysis, hybrid discriminant analysis and BP neural network. The identification accuracy of Euclid(Mahalanobis) distance, principal component analysis, hybrid discriminant analysis ([lambda] = 0,[eta] = 1) and BP are 100%. The results show that these methods can be effective ways to identify vinegar. Keywords Uitraviolet Spectrum, Vinegar, identification, Hybrid Discriminant Analysis, BP Neural Network., [sections]1. Introduction There are many varieties of vinegar in the market nowadays, but their qualities are not same, and there are not quick and valid methods to identify them. For [...]