In this article new generalization of half-normal distribution as the half GENERALIZED normal distribution is introduced. ‎This distribution, contains the half-normal distribution as special case.‎ We provide mathematical properties of this distribution. We also derive the pdf, cdf, -th moment, the asymmetry and kurtosis coefficients and the moment generating function. We discuss some inferential aspects related to the maximum likelihood estimation. Finally we illustrate the flexibility of this type of distribution with applications to real data sets.

Degradation MODELing is an effective approach for reliability assessment and predicting of remaining useful life in order to investigate the relation between failure time and degradation of a system or unit. The possibility of an association between degradation of the unit during the time and the effects of covariates on degradation processes should be taken into account in the MODEL to improve the explanatory capabilities of degradation MODELs. Sometimes, the exact amount of degradation could not be observed because of time, cost, and measurement tools limitations. Therefore, approximate degradation values can be compared with a critical threshold. In this paper, the degradation processes MODELed with a GENERALIZED linear mixed-effect MODEL in order to take into account the correlation between times. Also, maximum likelihood estimation and Bayesian estimate of parameters are derived.

Question and answering service is one of the popular services in the World Wide Web. The main goal of these services is to find the best answer for user's input question as quick as possible. In order to achieve this aim, most of these use new techniques foe question matching. We have a lot of question and answering services in Persian web, so it seems that developing a question matching MODEL might be useful. This paper introduces a new question matching MODEL for Persian. This MODEL is based on statistical language MODEL and employs GENERALIZED bigram and trigram MODEL. We also describe some results regarding the employment of natural language processing in question matching MODEL. Most of the Q & A services have large number of questions and answers, hence we considered an optimized implementation for the MODEL. We evaluated our MODEL with Rasekhoon question and answering archive which contains about 18000 pairs of questions and answers. The results showed the improvement of precision and recall measures through using this MODEL.

In this research, in order to investigate the effect of the piezoelectric patch which is used as a sensor or actuator in rotating flexible structures such as a helicopter blade, the free vibrations of the rotating rectangular sheet with and without the piezoelectric patch have been presented. First-order shear deformation theory is considered for plate displacement and piezoelectric field. Considering the effect of Coriolis acceleration, centrifugal acceleration and centrifugal in-plane forces, the equations of motion are derived from Hamilton's principle and the electromechanical couple equation is obtained from Maxwell's equation. For piezoelectric, two electrical conditions, open circuit and closed circuit, which are used in sensors and actuators, respectively, have been considered. The equations are discretized with the help of the numerical method of GENERALIZED differential squares and the matrices of inertia mass, eccentricity, Coriolis and stiffness matrix are obtained. Natural frequency values for beam and rotating plate have been compared in Abaqus software. Also, the values obtained from the numerical solution in MATLAB have been verified with articles and ABAQUS, which have high accuracy. The effect of parameters such as hub radius, rotation speed, sheet thickness, aspect ratio, piezoelectric patch thickness and applied voltage on the natural frequency of the system has also been investigated.

Statistical process control methods for monitoring processes with univariate or multivariate measurements are used widely when the quality variables fit to known probability distributions. Some processes, however, are better characterized by a profile or a function of quality variables. For each profile, it is assumed that a collection of data on the response variable along with the values of the corresponding quality variables is measured. While the linear function is the simplest, it occurs frequently that many of the nonlinear functions may be transferred to linear functions easily. This paper proposes a control chart based on the GENERALIZED linear test (GLT) to monitor coefficients of the linear profiles and an R-chart to monitor the error variance, the combination of which is called GLT/R chart. While fixed values of the explanatory variables are cornerstones in other control charts proposed to monitor profiles, in GLT/R chart, it is not a necessary condition. In order to illustrate the robustness of the GLT/R chart a simulation study has been done in two different cases, i.e. fixed and non-fixed values of the explanatory variables. Then, the results obtained from GLT/R charts are compared to the ones from a multivariate T2 and Exponentially Weighted Moving Average/R (EWMA/R) control charts.