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Copula cosmology: Constructing a likelihood function [PDF]
Physical Review D, 2011 To estimate cosmological parameters from a given dataset, we need to construct a likelihood function, which sometimes has a complicated functional form. We introduce the copula, a mathematical tool to construct an arbitrary multivariate distribution function from one-dimensional marginal distribution functions with any given dependence structure. It is
Sato, Masanori +2 more
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Maximum likelihood distance estimation algorithm for multi-carrier radar system
The Journal of Engineering, 2019 In this study, a maximum likelihood distance estimation algorithm is proposed for a multi-carrier radar system to estimate the time delay of non-integer sampling intervals. Particularly, the equivalent relationship between time domain delay and frequency
Yue Chen +4 more
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Algebraic likelihood maximization avoiding the log-likelihood function and differentiation
Research in StatisticsThe fact that the graph of the exponential function exp is always at or above the straight line through the origin with slope exp(1) is well-known and can be easily proved using differential calculus. We provide a simple algebraic proof of that fact and
S. Majumdar
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Improved multi-target tracking algorithm based on SMC-CBMeMBer for the airborne Doppler radar
The Journal of Engineering, 2019 To effectively suppress clutter in airborne Doppler radar and improve multi-target tracking (MTT) performance, this study proposes an improved MTT algorithm based on Sequential Monte Carlo Cardinality Balanced Multi-target Multi-Bernoulli (SMC-CBMeMBer ...
Muyang Luo +4 more
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The Annals of Statistics, 1983 The connection between quasi-likelihood functions, exponential family models and nonlinear weighted least squares is examined. Consistency and asymptotic normality of the parameter estimates are discussed under second moment assumptions. The parameter estimates are shown to satisfy a property of asymptotic optimality similar in spirit to, but more ...
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Reliable inference for complex models by discriminative composite likelihood estimation
, 2015 Composite likelihood estimation has an important role in the analysis of multivariate data for which the full likelihood function is intractable. An important issue in composite likelihood inference is the choice of the weights associated with lower ...
Ferrari, Davide, Zheng, Chao
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Likelihood function modelling of radar targets under high‐speed observation
Electronics Letters, 2023 The likelihood ratio function of the target plays a crucial role in applications such as tracking before detection (TBD). In the framework of random finite sets, the performance of radar target TBD based on particle filters is limited by the performance ...
YongQiang Zhang +2 more
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Profile Likelihood for Hierarchical Models Using Data Doubling
Entropy, 2023 In scientific problems, an appropriate statistical model often involves a large number of canonical parameters. Often times, the quantities of scientific interest are real-valued functions of these canonical parameters.
Subhash R. Lele
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Fast likelihood-free cosmology with neural density estimators and active learning [PDF]
Monthly notices of the Royal Astronomical Society, 2019 Likelihood-free inference provides a framework for performing rigorous Bayesian inference using only forward simulations, properly accounting for all physical and observational effects that can be successfully included in the simulations.
J. Alsing +3 more
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A Diversity-Promoting Objective Function for Neural Conversation Models [PDF]
North American Chapter of the Association for Computational Linguistics, 2015 Sequence-to-sequence neural network models for generation of conversational responses tend to generate safe, commonplace responses (e.g., "I don't know") regardless of the input. We suggest that the traditional objective function, i.e., the likelihood of
Jiwei Li +4 more
semanticscholar +1 more source