Analyzed the properties of the methods of verification manner of rejection with the use of statistical simulation models. The proposed indicators of validity of verification results, justified by their numerical values. Justified way of accounting for the uncertainty of measurements in calibration.

The paper focuses on methodology on an application of interval methods to the specific problem of spectral analysis. The subject of the study is the mathematical formulation of the problem and its solution by the methods of interval analysis in a linear case, that is, the Linear Interval Tolerance Problem. The main methodological goal of the work is to demonstrate the use of the recognizing functional as a method of investigation. We suggest the way to construct the right-hand side of the interval system of linear algebraic equations (ISLAE) without involving models of the background shape under the peak, "natural intervalization". The forms of the united solution sets for the problem are considered. The sign of the recognizing functional serves for a study of the solvability of ISLAE. The study demonstrates that in the initial formulation the problem is unsolvable. Various methods for achieving solvability are considered: by the reducing the tolerances of the right-hand side of the system and the modification of the ISLAE matrix. The results of using both approaches are discussed.

The paper considers application of the interval analysis procedures to estimation of parameters of an experimental chemical process under conditions of corruption, uncertainty of errors probability characteristics, and short sample of measurements. For these reasons, application of the standard statistical approach is hampered; especially, it becomes impossible to determine accurately the confidential intervals for parameters of the process. Under such conditions, namely methods of the interval analysis can work reliably giving exact set of the admissible values of the parameters to be estimated. Such a set is very necessary for researches for proper organization of corresponding technological processes by correct choice of the parameters. In the investigation, existing interval analysis procedures were advanced and arranged for processing a concrete experimental data. As a comparison, approximate estimations of parameters have been calculated by the standard statistical approach. It is shown that the standard approach gives practically senseless estimations of the process parameters.

The article studies the properties of empirical data under random uncertainty. A new approach is proposed to improve the accuracy in problems of constructing the probability density function and estimating its error. The method is based on the application of Richardson extrapolation and the Runge rule for kernel estimates with different smoothing parameters. It is shown that the application of the Runge rule makes it possible to estimate the error of kernel estimates for the probability density function and the values of its second derivative.

The paper is devoted to the measuring of pitch and roll angles by means of compensation-type pendulous accelerometer with closed feedback. Three-component mathematical model of a single-axis accelerometer is developed for measuring pitch and roll angles. Mathematical model takes into account the impact of acceleration applied perpendicular to the sensitivity axis of accelerometer. Errors of mathematical model are investigated. Accelerometer calibration method is proposed along with algorithm of temperature compensation of its readings. Mathematical model is verified by accelerometer calibration results.

The variational problems of minimization of a number of control points at coordinate measurements of shape, orientation and location characteristics of geometric elements of products are solved in terms of the analytical models of uncertainty estimation under upper limitation of the measurement uncertainty magnitude. The proposed solution methods are illustrated with the particular examples of planning the coordinate measurements of flatness, parallelism and perpendicularity of the planes, the distance between them, the circumference parameters and coaxiality of the cylinders.

The construction procedures of reference circles (maximum inscribed reference circle, minimum circumscribed reference circle and minimum zone reference circles) are presented. The parameters of these circles (its radius and center coordinates) are found by minimizing or maximizing the functionals based on the coordinates of profile points. Calculation algorithms are implemented in the software package Mathcad. These algorithms can be integrated into software of roughness measuring devices.

A technique for angular velocity measurement error reduction of precision rotary stands by combining measuring data from several sensors, which principles of measurements based on different physical laws, is described in the paper. Expressions are given for angular velocity maximum likelihood estimators obtained using the readings of each sensor. The technique for integral angular velocity of the stand platform estimate calculation is described as well. The results of carried out simulation are analyzed that confirmed the expediency of the proposed technique application.

The method of estimating the model of the apparatus function of the muon hodoscope URAGAN based on the mathematical technology of statistical tests is proposed in the article. The component models simulating the functioning of the hodoscope design and the weakening of the intensity of the muon streams in the atmosphere have been formed. The algorithm of statistical tests using the generated models is developed. The method of estimating the model of the hodoscope apparatus function is implemented. The application of the computed estimation of the model of the hodoscope hardware function for variants of the input model functions of the muon flux intensity distributions is analyzed.

An elementary magnetic emitter for approximation of an alternating magnetic field of an electrically small radiating loop antenna is considered. The frequency limits of applicability of the stationary dipole model are investigated. Approximate formulas characterizing the difference between the magnetic field of a circular loop antenna and its equivalent point source are obtained

Specialized measurement bench is developed for measuring reflection and transmission coefficients of electromagnetic wave of material samples in free space, complex permittivity and permeability of sheet samples, angle dependences of transmissivity and temperature dependences of reflectivity of radar absorbing materials based on metal substrate at normal incidence of electromagnetic wave in the frequency range from 1 to 40 GHz. With a view to increase the efficiency of measurements, several algorithms in a digital signal processing are proposed including the method of a suppression of the Gibbs phenomenon at the bandwidth limits and technique for measurement error correction of S -parameters, which is carried out in the determination of complex permittivity and permeability of low-sized samples.

The article presents a method for determining the charge collection time of the ionization fission chamber with flat electrodes. Determining the value of the charge and the time of its collection is carried out by the parameters of the electric signal registered at the output of the measuring system. The authors use the model of the detector current pulse formation and the mathematical model of the measuring circuit. The method of determining the mean charge per pulse and the collection time was tested in experiments with ionization fission chambers of type KNT-34. The variants of practical application of the proposed method are considered.

Application autogenerating measuring converters as secondary converters allows you to design electrical control device (ECD) for the simultaneous and separate measurement of the parameters of multicomponent agricultural products. The paper presents a procedure for preparation of the transfer function of the ECD, idealized models of measurement of humidity and grain conductivity. The results showed the fundamental possibility of development with tool ECD accuracy of at least 0,1 % in the 5-30 % grain moisture range.

The peculiarities of forming the innovation activities in the Russian Federation are considered with taking into account the quality infrastructure. The role of the UNESCO in innovation and R&D activities is shown.