A Bayesian Curve Fitting Approach to
نویسندگان
چکیده
A Bayesian method of estimating the power spectra of stationary random processes is proposed. Initially we estimate the true spectra via the log pe-riodogram but due to the inadequacies of the periodogram when the true spectrum has a high dynamic range and/or is rapidly varying for such problems we use the multitaper spectrum estimates which have known error distributions. Piecewise polynomials with random knot locations have been used to estimate the spectra. The methodology has been successful in giving \smooth" estimates which also capture peaks and troughs in the true spectra.
منابع مشابه
Bayesian Sample size Determination for Longitudinal Studies with Continuous Response using Marginal Models
Introduction Longitudinal study designs are common in a lot of scientific researches, especially in medical, social and economic sciences. The reason is that longitudinal studies allow researchers to measure changes of each individual over time and often have higher statistical power than cross-sectional studies. Choosing an appropriate sample size is a crucial step in a successful study. A st...
متن کاملA New Approach to Distribution Fitting: Decision on Beliefs
We introduce a new approach to distribution fitting, called Decision on Beliefs (DOB). The objective is to identify the probability distribution function (PDF) of a random variable X with the greatest possible confidence. It is known that f X is a member of = { , , }. 1 m S f L f To reach this goal and select X f from this set, we utilize stochastic dynamic programming and formulate this proble...
متن کاملMethodology Report A Bayesian Approach toMultistage Fitting of the Variation of the Skeletal Age Features
Accurate assessment of skeletal maturity is important clinically. Skeletal age assessment is usually based on features encoded in ossification centers. Therefore, it is critical to design a mechanism to capture as much as possible characteristics of features. We have observed that given a feature, there exist stages of the skeletal age such that the variation pattern of the feature differs in t...
متن کاملFitting growth curve models in the Bayesian framework.
Growth curve modeling is a popular methodological tool due to its flexibility in simultaneously analyzing both within-person effects (e.g., assessing change over time for one person) and between-person effects (e.g., comparing differences in the change trajectories across people). This paper is a practical exposure to fitting growth curve models in the hierarchical Bayesian framework. First the...
متن کاملA Recursive Approximation Approach of non-iid Lognormal Random Variables Summation in Cellular Systems
Co-channel interference is a major factor in limiting the capacity and link quality in cellular communications. As the co-channel interference is modeled by lognormal distribution, sum of the co-channel interferences of neighboring cells is represented by the sum of lognormal Random Variables (RVs) which has no closed-form expression. Assuming independent, identically distributed (iid) RVs, the...
متن کاملCapturing Outlines of Planar Generic Images by Simultaneous Curve Fitting and Sub-division
In this paper, a new technique has been designed to capture the outline of 2D shapes using cubic B´ezier curves. The proposed technique avoids the traditional method of optimizing the global squared fitting error and emphasizes the local control of data points. A maximum error has been determined to preserve the absolute fitting error less than a criterion and it administers the process of curv...
متن کامل