It is well known that Inertial Navigation Systems (INS) can provide high accuracy information on the position, velocity, and attitude over a short time period. However, their accuracy degrades rapidly with time. The requirements for accurate estimation of navigation information necessitate the modeling of the sensors' noise components. Several methods have been devised for stochastic modeling o...

As a noise analysis method for inertial sensors, the traditional Allan variance method requires the storage of a large amount of data and manual analysis for an Allan variance graph. Although the existing online estimation methods avoid the storage of data and the painful procedure of drawing slope lines for estimation, they require complex transformations and even cause errors during the model...

We showed in Part I of this paper [1] that the estimation of the white-phase noise level of a sampled signal may be achieved with variances even if the sampling frequency is far lower than the high cut-off frequency. In Part II, the effects of spectral aliasing for the different types of noise are reviewed. The responses of the Allan variance and the modified Allan variance for high-frequency n...

Experimental measurements show that many relevant processes in telecommunication engineering exhibit self-similarity and long-range dependence (LRD) characteristics. Internet traffic is a significant example. A traditional parameter used to characterize self-similarity and LRD is the Hurst parameter H. Recently, the Modified Allan Variance (MAVAR) has been proposed to estimate the power-law spe...

Recently, confidence intervals (CIs) associated with parameter estimates in the susceptibleinfected-recovered epidemiological model have been developed. When model assumptions are met and the observation error is relatively small, these CIs are relatively short. This work describes the behavior of CIs for parameters as observation and/or equation or model error becomes larger, and includes a co...

It is shown that a method of robust estimation in a two way crossed classification mixed model, recently proposed by Bednarski and Zontek (1996), can be extended to a more general case of variance components model with commutative a covariance matrices.

The conductance of disordered wires with symplectic symmetry is studied by a randommatrix approach. It has been shown that the behavior of the conductance in the long-wire limit crucially depends on whether the number of conducting channels is even or odd. We focus on the metallic regime where the wire length is much shorter than the localization length, and calculate the ensemble-averaged cond...

Sample coordination, where similar instances have similar samples, was proposed by statisticiansfour decades ago as a way to maximize overlap in repeated surveys. Coordinated sampling had beensince used for summarizing massive data sets.The usefulness of a sampling scheme hinges on the scope and accuracy within which queries posedover the original data can be answered from t...