The new quasi-likelihood algorithm is considered for detecting a radio signal with the unknown amplitude, duration, initial phase and inexactly known envelope shape against Gaussian white noise. The ...structure and the statistical characteristics of the introduced detection algorithm are found. The influence is studied of the difference in the envelope shapes of the received and reference signals upon detection efficiency.
We develop the maximum-likelihood algorithm for detecting a radio signal with an arbitrary envelope shape, which is observed against the background of additive Gaussian white noise. The signal ...duration, amplitude, and initial phase are unknown. The developed algorithm is analyzed on the assumption of sufficiently large signal-to-noise ratios. Asymptotic expressions for the detection-error probabilities are obtained. The developed-algorithm efficiency is checked by computer simulation and the applicability range of the obtained asymptotic expressions for the algorithm characteristics is determined.
This article provides an accuracy and applicability analysis of the approach to risk forecasting using parametric mixture models. The studied method is based upon results of the modified grid-based ...two-step decomposition algorithm for variance-mean mixtures. Instead of setting a fixed forecast interval, an approach is introduced to dynamically monitor relevant metrics for forecasts in a wide time frame, producing the basis for decision making regarding the quality and reliability of predictions for certain periods of time.
The authors showed that in the prevailing majority of cases (71 %) papillary carcinomas were formed against the background of other thyroid diseases. In this work, the main forms of thyroid ...pathology, which is most often found in PTC, were identified and their frequency was determined. It has been proven that in 39.8 % of cases PTC was combined with only one of the following diseases: in 20 % with autoimmune thyroiditis, in 14.8 % with colloid goiter, in 5 % with follicular adenomas. The combination of PTC with not one, but with several thyroid pathologies is 31.4 %. Such a high frequency of combination of malignant and benign pathology in the thyroid gland suggests that the proliferative processes that result in benign diseases can change their direction and lead to the appearance of cells with signs of malignancy. That is, goitre-altered thyroid tissue is more sensitive to the action of various carcinogenic agents, such as radiation, toxic effects or impaired neuroendocrine regulation. In the analysis of histological forms of PTC, it was shown that AIT is more common in adenocarcinomas and PC from cylindrical cells, and colloid goiter in microscopic cancer and follicular PC. Follicular adenoma is more often associated with follicular PTC. We believe that the analysis will have value for the differential diagnosis of histological forms of papillary thyroid cancer.
We obtain the maximum-likelihood and optimum (Bayesian) algorithms for detecting and estimating the appearance and disappearance times of a rectangular pulse against the white-noise background. ...Rigorous expressions for the characteristics of the maximum-likelihood algorthms are found. The characteristics of the Bayesian algorithms are obtained using computer simulations.PUBLICATION ABSTRACT
One of the most popular experimental techniques for investigation of brain activity is the so-called method of evoked potentials: the subject repeatedly makes some movements (by his/her finger), ...whereas brain activity and some auxiliary signals are recorded for further analysis. The key problem is the detection of points in the myogram that correspond to the beginning of the movements. The more precisely the points are detected, the more successfully the magnetoencephalogram is processed aiming at the identification of sensors that are closest to the activity areas.
This paper proposes a statistical approach to this problem based on mixtures models that uses a specially modified method of moving separation of mixtures of probability distributions (MSMmethod) to detect the start points of the finger’s movements. We demonstrate the correctness of the new procedure and its advantages as compared with the method based on the notion of the myogram window variance.
PDF
