We revisit the problem of estimating center symmetry θ an unknown symmetric density f. Although Stone (1975), Van Eeden (1970), and Sacks (1975) constructed adaptive estimators in this model, their depend on external tuning parameters. In effort to reduce burden parameters, we impose additional restriction log-concavity construct truncated one-step which are under assumption. Our simulations in...

Recent work has shown the important properties of the wind inversion residual or Maximum Likelihood Estimator (MLE) for Quality Control (QC) of QuikSCAT Hierarchichal Data Format (HDF) observations. Since March 2000, the QuikSCAT Near-Real Time (NRT) Binary Universal Format Representation (BUFR) product is available. As this product is used for Numerical Weather Prediction (NWP) assimilation pu...

We study in this paper some nonparametric inference problems where the nonparametric maximum likelihood estimator (NPMLE) are not well defined. However, if we enlarge the parameter space, the NPMLE will be well defined. We propose to gradually shrink the enlarged parameter space by placing more and more restrictions on the parameter space, producing a sequence of (envelope) estimators. The appr...

The Kawasaki identity (KI) and the Jarzynski equality (JE) are important nonequilibrium relations. Both of these relations take the form of an ensemble average of an exponential function and can exhibit convergence problems when the average of the exponent differs greatly from the log of the average of the exponential function. In this work, we re-express these relations so that only selected r...

Abstract—The K-distribution is widely applied in synthetic aperture radar (SAR) image processing. However, the multi-peak complicated likelihood function causes much trouble to obtain the maximum likelihood estimation of K-distribution parameters. Based on the number-theoretic net (NT-net), the computable steps of sequential number-theoretic method for optimization (SNTO) were proposed to get t...

Abstract. In this paper we consider some four-parametric, so-called Generalized Pareto-like Frequency Distribution, which have been constructed using stochastic Birth-Death Process in order to model phenomena arising in Bioinformatics (Astola and Danielian, 2007). As examples, two ”real data” sets on the number of proteins and number of residues for analyzing such distribution are given. The co...

A recently proposed approximate maximum-likelihood estimator (MLE) of multiple exponentials converts the frequency estimation problem into a problem of estimating the coefficients of a :-polynomial with roots at the desired frequencies. Theoretically, the roots of the estimated polynomial should fall on the unit circle, but MLE, as originally proposed, does not guarantee unit circle roots. This...

Clock synchronization plays a crucial role in Wireless Sensor Networks (WSNs). Assuming that there is no clock skew between sensor nodes, the Maximum Likelihood Estimate (MLE) of clock offset was derived by [1] for clock synchronization protocols assuming exponential random delays and a two-way message exchange mechanism as in TPSN (Timing-sync Protocol for Sensor Networks [2]) or NTP (Network ...

One of the important and widely used classes models for non-Gaussian time series is generalized autoregressive model average (GARMA), which specifies an ARMA structure conditional mean process underlying series. However, in many applications one often encounters heteroskedasticity. In this paper we propose a new class models, referred to as GARMA-GARCH that jointly specify both variance process...