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The maximum composite likelihood estimator for parametric models of determinantal point processes (DPPs) is discussed. Since the joint intensities of these point processes are given by determinant of positive definite kernels, we have the…

Statistics Theory · Mathematics 2019-09-04 Kou Fujimori , Sota Sakamoto , Yasutaka Shimizu

We consider the problem of estimating the distribution function, the density and the hazard rate of the (unobservable) event time in the current status model. A well studied and natural nonparametric estimator for the distribution function…

Statistics Theory · Mathematics 2010-01-13 Piet Groeneboom , Geurt Jongbloed , Birgit I. Witte

In this work, the issue of obtaining consistent parameter estimators for nonlinear regression models where the regressors are second-order modulus functions is explored. It is shown that consistent instrumental variable estimators can be…

Methodology · Statistics 2022-04-12 Fredrik Ljungberg , Martin Enqvist

In this paper, we analyze the asymptotic properties of the Two-Stage (TS) estimator -- a simulation-based parameter estimation method that constructs estimators offline from synthetic data. While TS offers significant computational…

Systems and Control · Electrical Eng. & Systems 2025-08-26 Braghadeesh Lakshminarayanan , Cristian R. Rojas

Stable distribution is one of the attractive models that well describes fat-tail behaviors and scaling phenomena in various scientific fields. The approach based upon the method of moments yields a simple procedure for estimating stable law…

Methodology · Statistics 2021-06-24 Shinji Kakinaka , Ken Umeno

Models defined by moment conditions are at the center of structural econometric estimation, but economic theory is mostly agnostic about moment selection. While a large pool of valid moments can potentially improve estimation efficiency, in…

Econometrics · Economics 2023-11-15 Jinyuan Chang , Zhentao Shi , Jia Zhang

In this work, we consider an estimation method in sparse Poisson models inspired by [1] and provide novel sign consistency results under mild conditions.

Statistics Theory · Mathematics 2023-03-27 Marina Gomtsyan , Céline Lévy-Leduc , Sarah Ouadah , Laure Sansonnet

We consider statistical models driven by Gaussian and non-Gaussian self-similar processes with long memory and we construct maximum likelihood estimators (MLE) for the drift parameter. Our approach is based on the approximation by random…

Statistics Theory · Mathematics 2009-12-19 Karine Bertin , Soledad Torres , Ciprian Tudor

We revisit the problem of parameter estimation for discrete probability distributions with values in $\mathbb{Z}^d$. To this end, we adapt a technique called Stein's Method of Moments to discrete distributions which often gives closed-form…

Statistics Theory · Mathematics 2025-10-22 Adrian Fischer

Collecting multiple longitudinal measurements and time-to-event outcomes is a common practice in clinical and epidemiological studies, often focusing on exploring associations between them. Joint modeling is the standard analytical tool for…

Methodology · Statistics 2024-12-10 Taban Baghfalaki , Reza Hashemi , Catherine Helmer , Helene Jacqmin-Gadda

Estimation of mean shift in a temporally ordered sequence of random variables with a possible existence of change-point is an important problem in many disciplines. In the available literature of more than fifty years the estimation methods…

Methodology · Statistics 2025-07-14 Buddhananda Banerjee , Arnab Kumar Laha

Stochastic gradient methods enable learning probabilistic models from large amounts of data. While large step-sizes (learning rates) have shown to be best for least-squares (e.g., Gaussian noise) once combined with parameter averaging,…

Machine Learning · Statistics 2018-11-22 Dmitry Babichev , Francis Bach

This paper proposes a simple and efficient estimation procedure for the model with non-ignorable missing data studied by Morikawa and Kim (2016). Their semiparametrically efficient estimator requires explicit nonparametric estimation and so…

Methodology · Statistics 2018-01-15 Chunrong Ai , Oliver Linton , Zheng Zhang

Strong consistency of the maximum likelihood estimator (MLE) for parametric Gibbs point process models is established. The setting is very general. It includes pairwise pair potentials, finite and infinite multibody interactions and…

Statistics Theory · Mathematics 2016-01-27 David Dereudre , Frédéric Lavancier

We define a moment-based estimator that maximizes the empirical saddlepoint (ESP) approximation of the distribution of solutions to empirical moment conditions. We call it the ESP estimator. We prove its existence, consistency and…

Statistics Theory · Mathematics 2019-05-20 Benjamin Holcblat , Fallaw Sowell

We consider estimation and inference in a linear model with endogenous regressors where the parameters of interest change across two samples. If the first-stage is common, we show how to use this information to obtain more efficient…

Econometrics · Economics 2024-06-26 Bertille Antoine , Otilia Boldea , Niccolo Zaccaria

Motivated by the sampling problems and heterogeneity issues common in high- dimensional big datasets, we consider a class of discordant additive index models. We propose method of moments based procedures for estimating the indices of such…

Statistics Theory · Mathematics 2018-07-19 Krishnakumar Balasubramanian , Jianqing Fan , Zhuoran Yang

We consider a stochastic process model with time trend and measurement error. We establish consistency and derive the limiting distributions of the maximum likelihood (ML) estimators of the covariance function parameters under a general…

Statistics Theory · Mathematics 2016-09-29 Chih-Hao Chang , Hsin-Cheng Huang , Ching-Kang Ing

We propose new local error estimators for splitting and composition methods. They are based on the construction of lower order schemes obtained at each step as a linear combination of the intermediate stages of the integrator, so that the…

Numerical Analysis · Mathematics 2019-10-29 Sergio Blanes , Fernando Casas , Mechthild Thalhammer

The article considers vector parameter estimators in statistical models generated by Levy processes. An improved one step estimator is presented that can be used for improving any other estimator. Combined numerical methods for optimization…

Methodology · Statistics 2021-03-15 D. O. Ivanenko , R. V. Pogorielov