August 2, 2013 Version 1.2.2 Date 2013-07-30 Title Accurate Estimation of Clonal Coincidences and Abundances from Biological Replicates Author Yi Liu, Richard Olshen, Andrew Fire, Scott Boyd Maintainer Yi Liu Depends R (>= 2.15.0) Imports VGAM, MASS, expm, corpcor Description We provide a clonality score estimator that takes full advantage of the multi-biologicalreplicat...

We consider the estimation of the number of hidden states (the order) of a discrete-time finite-alphabet hidden Markov model (HMM). The estimators we investigate are related to code-based order estimators: penalized maximum-likelihood (ML) estimators and penalized versions of the mixture estimator introduced by Liu and Narayan. We prove strong consistency of those estimators without assuming an...

We consider a difference based ridge regression estimator and a Liu type estimator of the regression parameters in the partial linear semiparametric regression model, y = Xβ + f + ε. Both estimators are analysed and compared in the sense of mean-squared error. We consider the case of independent errors with equal variance and give conditions under which the proposed estimators are superior to t...

The beta regression model (BRM) is used when the dependent variable may take continuous values and be bounded in interval (0, 1), such as rates, proportions, percentages fractions. Generally, parameters of BRM are estimated by method maximum likelihood estimation (MLE). However, MLE does not offer accurate reliable estimates explanatory variables correlated. To solve this problem, ridge Liu est...

© 2011 Hing Cheung So and Hongqing Liu 27 This paper addresses estimating the frequency of a cisoid in the presence of white Gaussian noise, which has numerous applications in communications, radar, sonar, and instrumentation and measurement. Due to the nonlinear nature of the frequency estimation problem, there is threshold effect, that is, large error estimates or outliers will occur at suffi...

Multicollinearity negatively affects the efficiency of maximum likelihood estimator (MLE) in both linear and generalized models. The Kibria Lukman (KLE) was developed as an alternative to MLE handle multicollinearity for regression model. In this study, we proposed Logistic Kibria-Lukman (LKLE) logistic We theoretically established superiority condition new over MLE, ridge (LRE), Liu (LLE), Liu...

The study aims to estimate the impact of Turkey's FTAs on its average external trade level by three novel approaches, which are fixed effects counterfactual estimator (FEct), interactive effect (IFEct) estimator, and matrix completion (MC) method introduced Liu et al (2022). results show that while have a positive exports economies Turkey has FTAs, we do not find any significant imports average...