There are many situations for statistical process in which we have both random and vagueinformation. When uncertainty is due to fuzziness of information, fuzzy statistical control charts play animportant role in the monitoring process, because they simultaneously deal with both kinds of uncertainty.Dealing with fuzzy characteristics using classical methods may cause the loss of information and ...

An optimal fusion algorithm for tracking maneuvering target based on centralized structure of multisensor is proposed. This algorithm is implemented with two filters and fuzzy logic using state fusion, together with the current statistic model and adaptive filtering. Firstly, the optimal weighting coefficients are obtained using the stochastic approximation theory, a suitable method of estimati...

The concept of causality is naturally defined in terms of conditional distribution, however almost all the empirical works focus on causality in mean. This paper aim to propose a nonparametric statistic to test the conditional independence and Granger non-causality between two variables conditionally on another one. The test statistic is based on the comparison of conditional distribution funct...

An advantage of the supremum log-rank over the standard log-rank statistic is an increased sensitivity to a wider variety of stochastic ordering alternatives. In this article, we develop a formula for sample size computation for studies utilizing the supremum log-rank statistic. The idea is to base power on the proportional hazards alternative, so that the supremum log rank will have the same p...

Twenty people with suspected intellectual disability took the Reynolds Intellectual Assessment Scales (RIAS; C. R. Reynolds & R. W. Kamphaus, 1998) and the Wechsler Adult Intelligence Scale-3rd Edition (WAIS-III; D. Wechsler, 1997) to see if the 2 IQ tests produced comparable results. A t test showed that the RIAS Composite Intelligence Index scores were significantly higher than WAIS-III Full ...

We consider the problem of nonlinear filtering under the circumstance of unknown covariance statistic of the measurement noise. A novel adaptive unscented Kalman filter (UKF) integrating variational Bayesian methods and fuzzy logic techniques is proposed in this paper. It is called fuzzy adaptive variational Bayesian UKF (FAVBUKF). Firstly, the sufficient statistics of the measurement noise var...

The two hypotheses are usually distinguished by means of a test-statistic which is an “averaged” quantity computed by combining many observations. When a completely trustworthy ergodic probabilistic model exists for the fading and noise processes, then the probabilities of detection error will drop to zero with the number of observations as the test-statistic concentrates and a threshold can be...

The experimental result of hypothesis test for hip roof model with = 3:0 is shown in gure 3,where the x axis represents the statistic used in the test and the y axis represents 10, where is the signicance level. Figure 3 shows the result of test mean and covari-ance simultaneously. sample density sample distribution null distribution function null density function Figure 3: Test mean and covari...

Dichotomous responses from matched pairs of data at different timepoints are often displayed in 2 by 2 tables, and McNemar's test is performed to test the hypothesis that the proportion of subjects with a certain response is equivalent at both timepoints. A kappa statistic can determine the level of agreement in these responses. The SAS procedure FREQ can perform a large sample approximation to...

Metrics typically used to report the performance of an early warning score (EWS), such as the area under the receiver operator characteristic curve or C-statistic, are not useful for pre-implementation analyses. Because physiological deterioration has an extremely low prevalence of 0.02 per patient-day, these metrics can be misleading. We discuss the statistical reasoning behind this statement ...