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  1. Likelihood-Quotienten-Tests

    Gegenstand dieses Kapitels ist das Testen von Hypothesen innerhalb parametrischer Modelle. Wir beschränken uns dabei auf verallgemeinerte...
    Chapter 2024
  2. Maximum-Likelihood-Schätzung

    In diesem Kapitel lernen wir eine grundlegende Methode kennen, um in parametrischen Modellen Schätzer für unbekannte Parameter zu konstruieren,...
    Chapter 2024
  3. Maximum Likelihood

    In Chapter 2, we discussed the problem of minimizing the Euclidean distance from a data point u to a model X in...
    Paul Breiding, Kathlén Kohn, Bernd Sturmfels in Metric Algebraic Geometry
    Chapter Open access 2024
  4. Maximum Full Likelihood Approach to Randomly Truncated Data

    Truncated data are commonly observed in economics, epidemiology, and other fields. The analysis of truncated data is challenging because the observed...

    Manli Cheng, Yukun Liu, ... **g Qin in Journal of Systems Science and Complexity
    Article 07 February 2024
  5. Threshold Models for Lévy Processes and Approximate Maximum Likelihood Estimation

    Using the Lévy process (solution of the Ito–Skorokhod stochastic differential equation), we propose the structure of the model of a threshold process...

    Henghsiu Tsai, A. V. Nikitin in Cybernetics and Systems Analysis
    Article 27 March 2024
  6. Empirical Likelihood for Generalized Linear Models with Longitudinal Data

    Generalized linear models are usually adopted to model the discrete or nonnegative responses. In this paper, empirical likelihood inference for fixed...

    Changming Yin, Mingyao Ai, ... **angshun Kong in Journal of Systems Science and Complexity
    Article 18 February 2023
  7. Data-driven slicing for dimension reduction in regressions: A likelihood-ratio approach

    To efficiently estimate the central subspace in sufficient dimension reduction, response discretization via slicing its range is one of the most used...

    Peirong Xu, Tao Wang, Lixing Zhu in Science China Mathematics
    Article 29 August 2023
  8. Empirical Likelihood for a First-Order Generalized Random Coefficient Integer-Valued Autoregressive Process

    In this paper, the authors consider the empirical likelihood method for a first-order generalized random coefficient integer-valued autoregressive...

    Jianhua Cheng, Xu Wang, Dehui Wang in Journal of Systems Science and Complexity
    Article 19 April 2023
  9. Likelihood-Quotienten-Tests

    Gegenstand dieses Kapitels ist das Testen von Hypothesen innerhalb parametrischer Modelle. Wir beschränken uns dabei auf verallgemeinerte...
    Chapter 2022
  10. Empirical likelihood for spatial cross-sectional data models with matrix exponential spatial specification

    In this paper, we study spatial cross-sectional data models in the form of matrix exponential spatial specification (MESS), where MESS appears in...

    Yan Liu, Jian-rong Rong, Yong-song Qin in Applied Mathematics-A Journal of Chinese Universities
    Article 08 March 2024
  11. Characterizations of the Maximum Likelihood Estimator of the Cauchy Distribution

    Abstract

    This paper gives a new approach for the maximum likelihood estimation of the joint of the location and scale of the Cauchy distribution. We...

    K. Okamura, Y. Otobe in Lobachevskii Journal of Mathematics
    Article 01 September 2022
  12. Evolving Improved Sampling Protocols for Dose–Response Modelling Using Genetic Algorithms with a Profile-Likelihood Metric

    Practical limitations of quality and quantity of data can limit the precision of parameter identification in mathematical models. Model-based...

    Nicholas N. Lam, Rua Murray, Paul D. Docherty in Bulletin of Mathematical Biology
    Article Open access 08 May 2024
  13. Optimal distribution-free concentration for the log-likelihood function of Bernoulli variables

    This paper aims to establish distribution-free concentration inequalities for the log-likelihood function of Bernoulli variables, which means that...

    Article Open access 06 June 2023
  14. LIKELIHOOD-BASED ANALYSIS IN MIXTURE GLOBAL VARs

    In this paper we propose a mixture global vector autoregressive model with exogenous variables to study country/region interdependencies that exist...

    Maddalena Cavicchioli in Journal of Mathematical Sciences
    Article 01 April 2023
  15. A pseudo-likelihood estimator of the Ornstein–Uhlenbeck parameters from suprema observations

    In this paper, we propose an estimator for the Ornstein–Uhlenbeck parameters based on observations of its supremum. We derive an analytic expression...

    Christophette Blanchet-Scalliet, Diana Dorobantu, Benoit Nieto in Statistical Inference for Stochastic Processes
    Article 26 February 2024
  16. Maximum-Likelihood-Schätzung

    In diesem Kapitel lernen wir eine grundlegende Methode kennen, um in parametrischen Modellen Schätzer für unbekannte Parameter zu konstruieren,...
    Chapter 2022
  17. The likelihood and Bayesian analyses for asymmetric Laplace nonlinear regression model

    Regression model is a popular and well-acknowledged technique for finding a relationship between random phenomena. In this context, the normality...

    Narjes Gilani, Reza Pourmousa in Computational and Applied Mathematics
    Article 14 December 2023
  18. Improved Maximum Likelihood Estimation of ARMA Models

    Abstract

    In this paper we propose a new optimization model for maximum likelihood estimation of causal and invertible ARMA models. Through a set of...

    Leonardo Di Gangi, Matteo Lapucci, ... Alessio Sortino in Lobachevskii Journal of Mathematics
    Article 01 September 2022
  19. On partial likelihood and the construction of factorisable transformations

    Models whose associated likelihood functions fruitfully factorise are an important minority allowing elimination of nuisance parameters via partial...

    H. S. Battey, D. R. Cox, Su Hyeong Lee in Information Geometry
    Article Open access 28 June 2022
  20. A Continuation Technique for Maximum Likelihood Estimators in Biological Models

    Estimating model parameters is a crucial step in mathematical modelling and typically involves minimizing the disagreement between model predictions...

    Article Open access 31 August 2023
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