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The problem of population recovery refers to estimating a distribution based on incomplete or corrupted samples. Consider a random poll of sample size $n$ conducted on a population of individuals, where each pollee is asked to answer $d$…

Statistics Theory · Mathematics 2020-04-30 Yury Polyanskiy , Ananda Theertha Suresh , Yihong Wu

Nested error regression models are useful tools for analysis of grouped data, especially in the case of small area estimation. This paper suggests a nested error regression model using uncertain random effects in which the random effect in…

Methodology · Statistics 2017-02-28 Shonosuke Sugasawa , Tatsuya Kubokawa

An important problem for HCI researchers is to estimate the parameter values of a cognitive model from behavioral data. This is a difficult problem, because of the substantial complexity and variety in human behavioral strategies. We report…

Human-Computer Interaction · Computer Science 2017-01-16 Antti Kangasrääsiö , Kumaripaba Athukorala , Andrew Howes , Jukka Corander , Samuel Kaski , Antti Oulasvirta

Spatially explicit capture recapture (SECR) models have gained enormous popularity to solve abundance estimation problems in ecology. In this study, we develop a novel Bayesian SECR model that disentangles the process of animal movement…

Applications · Statistics 2018-01-01 Soumen Dey , Mohan Delampady , K. Ullas Karanth , Arjun M. Gopalaswamy

This paper considers the problem of computing Bayesian estimates of both states and model parameters for nonlinear state-space models. Generally, this problem does not have a tractable solution and approximations must be utilised. In this…

Machine Learning · Statistics 2020-12-15 Jarrad Courts , Johannes Hendriks , Adrian Wills , Thomas Schön , Brett Ninness

Count-valued time series data are routinely collected in many application areas. We are particularly motivated to study the count time series of daily new cases, arising from COVID-19 spread. We propose two Bayesian models, a time-varying…

Methodology · Statistics 2021-03-10 Arkaprava Roy , Sayar Karmakar

The problem of adaptive sampling for estimating probability mass functions (pmf) uniformly well is considered. Performance of the sampling strategy is measured in terms of the worst-case mean squared error. A Bayesian variant of the…

Methodology · Statistics 2020-12-09 Dhruva Kartik , Neeraj Sood , Urbashi Mitra , Tara Javidi

Raking is widely used in categorical data modeling and survey practice but faced with methodological and computational challenges. We develop a Bayesian paradigm for raking by incorporating the marginal constraints as a prior distribution…

Methodology · Statistics 2020-06-24 Yajuan Si , Peigen Zhou

In analyzing big data for finite population inference, it is critical to adjust for the selection bias in the big data. In this paper, we propose two methods of reducing the selection bias associated with the big data sample. The first…

Methodology · Statistics 2019-01-08 Jae Kwang Kim , Zhonglei Wang

In this paper, a new randomized response technique aimed at protecting respondents' privacy is proposed. It is designed for estimating the population total, or the population mean, of a quantitative characteristic. It provides a~high degree…

Methodology · Statistics 2021-01-25 Jaromir Antoch , Francesco Mola , Ondrej Vozar

Studies of memory trajectories using longitudinal data often result in highly non-representative samples due to selective study enrollment and attrition. An additional bias comes from practice effects that result in improved or maintained…

Methodology · Statistics 2021-03-23 Maria Josefsson , Michael J. Daniels , Sara Pudas

Dynamical systems modeling, particularly via systems of ordinary differential equations, has been used to effectively capture the temporal behavior of different biochemical components in signal transduction networks. Despite the recent…

Quantitative Methods · Quantitative Biology 2023-01-06 Nathaniel J. Linden , Boris Kramer , Padmini Rangamani

To investigate the structure of individual differences in performance on behavioral tasks, Haaf and Rouder (2017) developed a class of hierarchical Bayesian mixed models with varying levels of constraint on the individual effects. The…

Applications · Statistics 2022-10-24 Thomas J. Faulkenberry

Many countries conduct a full census survey to report official population statistics. As no census survey ever achieves 100 per cent response rate, a post-enumeration survey (PES) is usually conducted and analysed to assess census coverage…

The Network scale-up method is commonly used to overcome difficulties in estimating the size of hard-to-reach populations. The method uses indirect information based on social network of each participant taken from the general population,…

Computation · Statistics 2018-04-16 Leonardo S Bastos , Natalia S Paiva , Francisco I Bastos , Daniel A M Villela

Respondent-Driven Sampling (RDS) is an approach to sampling design and inference in hard-to-reach human populations. Typically, a sampling frame is not available, and population members are difficult to identify or recruit from broader…

Methodology · Statistics 2012-09-28 Mark S. Handcock , Krista J. Gile , Corinne M. Mar

We propose a model of two-way selection system. It appears in the processes like choosing a mate between men and women, making contracts between job hunters and recruiters, and trading between buyers and sellers. In this paper, we propose a…

General Physics · Physics 2015-02-20 Bin Zhou , Shujia Qin , Xiao-Pu Han , Zhe He , Jia-Rong Xie , Bing-Hong Wang

A density estimation method in a Bayesian nonparametric framework is presented when recorded data are not coming directly from the distribution of interest, but from a length biased version. From a Bayesian perspective, efforts to…

Statistics Theory · Mathematics 2015-10-23 Spyridon J. Hatjispyros , Theodoros Nicoleris , Stephen G. Walker

We propose a novel Bayesian model selection technique on linear mixed-effects models to compare multiple treatments with a control. A fully Bayesian approach is implemented to estimate the marginal inclusion probabilities that provide a…

Applications · Statistics 2015-09-28 Lei Gong , James M. Flegal , Stephen R. Spindler , Patricia L. Mote

We use statistical mechanics to study model-based Bayesian data clustering. In this approach, each partition of the data into clusters is regarded as a microscopic system state, the negative data log-likelihood gives the energy of each…

Disordered Systems and Neural Networks · Physics 2019-11-19 Alexander Mozeika , Anthony CC Coolen
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