Results 21 to 30 of about 778 (69)

The limiting behavior of some infinitely divisible exponential dispersion models

open access: yes, 2010
Consider an exponential dispersion model (EDM) generated by a probability $ \mu $ on $[0,\infty )$ which is infinitely divisible with an unbounded L\'{e}vy measure $\nu $. The Jorgensen set (i.e., the dispersion parameter space) is then $\mathbb{R}^{+}$,
Bar-Lev, Shaul, Letac, Gerard
core   +3 more sources

Exponential bounds for the tail probability of the supremum of an inhomogeneous random walk

open access: yes, 2018
Let $\{\xi_1,\xi_2,\ldots\}$ be a sequence of independent but not necessarily identically distributed random variables. In this paper, the sufficient conditions are found under which the tail probability $\mathbb{P}(\sup_{n\geqslant0}\sum_{i=1}^n\xi_i>x)$
Kievinaitė, Dominyka, Šiaulys, Jonas
core   +1 more source

Berry-Esséen bound of sample quantiles for negatively associated sequence

open access: yesJournal of Inequalities and Applications, 2011
In this paper, we investigate the Berry-Esséen bound of the sample quantiles for the negatively associated random variables under some weak conditions. The rate of normal approximation is shown as O(n -1/9). 2010 Mathematics Subject Classification:
Zhang Qinchi   +3 more
doaj  

Estimation of time-varying treatment effects using marginal structural models dependent on partial treatment history

open access: yesJournal of Causal Inference
Inverse probability (IP) weighting of marginal structural models (MSMs) can provide consistent estimators of time-varying treatment effects under correct model specifications and identifiability assumptions, even in the presence of time-varying ...
Seya Nodoka   +2 more
doaj   +1 more source

An Edgeworth expansion for finite population L-statistics

open access: yes, 2011
In this paper, we consider the one-term Edgeworth expansion for finite population L-statistics. We provide an explicit formula for the Edgeworth correction term and give sufficient conditions for the validity of the expansion which are expressed in terms
Andrius Čiginas   +16 more
core   +1 more source

Uniform asymptotics for the tail probability of weighted sums with heavy tails [PDF]

open access: yes, 2014
This paper studies the tail probability of weighted sums of the form $\sum_{i=1}^n c_i X_i$, where random variables $X_i$'s are either independent or pairwise quasi-asymptotical independent with heavy tails.
Zhang, Chenhua
core   +2 more sources

Random convolution of inhomogeneous distributions with $\mathcal{O}$-exponential tail

open access: yes, 2016
Let $\{\xi_1,\xi_2,\ldots\}$ be a sequence of independent random variables (not necessarily identically distributed), and $\eta$ be a counting random variable independent of this sequence. We obtain sufficient conditions on $\{\xi_1,\xi_2,\ldots\}$ and $\
Danilenko, Svetlana   +2 more
core   +1 more source

On predictive probability matching priors

open access: yes, 2008
We revisit the question of priors that achieve approximate matching of Bayesian and frequentist predictive probabilities. Such priors may be thought of as providing frequentist calibration of Bayesian prediction or simply as devices for producing ...
Sweeting, Trevor J.
core   +1 more source

Revisiting two strong approximation results of Dudley and Philipp

open access: yes, 2006
We demonstrate the strength of a coupling derived from a Gaussian approximation of Zaitsev (1987a) by revisiting two strong approximation results for the empirical process of Dudley and Philipp (1983), and using the coupling to derive extended and ...
Berthet, Philippe, Mason, David M.
core   +1 more source

Asymptotic oracle properties of SCAD-penalized least squares estimators

open access: yes, 2007
We study the asymptotic properties of the SCAD-penalized least squares estimator in sparse, high-dimensional, linear regression models when the number of covariates may increase with the sample size.
Huang, Jian, Xie, Huiliang
core   +1 more source

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