Zobrazeno 1 - 10
of 23
pro vyhledávání: '"Walker, Stephen A."'
The construction of objective priors is, at best, challenging for multidimensional parameter spaces. A common practice is to assume independence and set up the joint prior as the product of marginal distributions obtained via "standard" objective met
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2ead22136bdf662b4e11c1c07475dca3
Autor:
Wang, Shuying, Walker, Stephen G.
The paper considers a Cox process where the stochastic intensity function for the Poisson data model is itself a non-homogeneous Poisson process. We show that it is possible to obtain the marginal data process, namely a non-homogeneous count process
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5e58cee105d0fdba16b7f3f164b26bf5
Autor:
Moya, Blake, Walker, Stephen G.
The paper presents a new perspective on the mixture of Dirichlet process model which allows the recovery of full and correct uncertainty quantification associated with the full model, even after having integrated out the random distribution function.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::52c4006d38126c84fc3d67e91d877d8f
Autor:
Ho, Nhat, Walker, Stephen G.
We present simple conditions for Bayesian consistency in the supremum metric. The key to the technique is a triangle inequality which allows us to explicitly use weak convergence, a consequence of the standard Kullback--Leibler support condition for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9daa59e1576d7b4b7f1d3cf5b323284e
Autor:
Ho, Nhat, Walker, Stephen G.
Taking the Fourier integral theorem as our starting point, in this paper we focus on natural Monte Carlo and fully nonparametric estimators of multivariate distributions and conditional distribution functions. We do this without the need for any esti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cddcac4bbcb136d7221ee6d61d9d071b
http://arxiv.org/abs/2106.06608
http://arxiv.org/abs/2106.06608
Autor:
Walker, Stephen G
In this paper we present a new measure for the overlap of two density functions which provides motivation and interpretation currently lacking with benchmark measures based on the proportion of similar response, also known as the overlap coefficient.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::94a0e8ca6a56c074875432832be5f63a
http://arxiv.org/abs/2106.01821
http://arxiv.org/abs/2106.01821
The prior distribution on parameters of a sampling distribution is the usual starting point for Bayesian uncertainty quantification. In this paper, we present a different perspective which focuses on missing observations as the source of statistical
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dac7f6662a3d7f12679cb6180bb4de71
http://arxiv.org/abs/2103.15671
http://arxiv.org/abs/2103.15671
Autor:
Biro, Preston, Walker, Stephen G.
With the vast amount of data collected on football and the growth of computing abilities, many games involving decision choices can be optimized. The underlying rule is the maximization of an expected utility of outcomes and the law of large numbers.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e2a9996117cc7f50122a612d4870174a
Autor:
Ho, Nhat, Walker, Stephen G.
We introduce a class of integral theorems based on cyclic functions and Riemann sums approximating integrals. The Fourier integral theorem, derived as a combination of a transform and inverse transform, arises as a special case. The integral theorems
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::afbdb4cab27f7eebe4c5ac3776e66943
Autor:
Ho, Nhat, Walker, Stephen G.
Starting with the Fourier integral theorem, we present natural Monte Carlo estimators of multivariate functions including densities, mixing densities, transition densities, regression functions, and the search for modes of multivariate density functi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c76d45aaedc7da3e18b18fad27cf7d5b