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Nonparametric and Semiparametric Regressions Subject to Monotonicity Constraints: Estimation and Forecasting
Nonlinearity Nonparametric regression Semiparametric regression Local mono- tonicity Bagging
2016/1/20
This paper considers nonparametric and semiparametric regression models subject to monotonicity constraint. We use bagging as an alternative approach to Hall and Huang(2001). Asymptotic properties of ...
Monotonicity and Restart in Fast Gradient Methods
Monotonicity Restart Fast Gradient Methods
2015/7/9
Fast gradient methods are known to be non-monotone algorithms, and oscillations typically occur around the solution. To avoid this behavior, we propose in this paper a fast gradient method with restar...
Simulation-based Response Surface Estimation in the Presence of Monotonicity
Simulation-based Response Surface Estimation Presence Monotonicity
2015/7/6
In many stochastic models, it is known that the response surface corresponding to a particular performance measure is monotone in the underlying parameter. For example, the steady-state mean waiting t...
Adaptive Bayes test for monotonicity
Bayesian Nonparametric Nonparametric regression Nonparamet-ric hypothesis testing Asymptotic properties
2013/4/28
We study the asymptotic behaviour of a Bayesian nonparametric test of qualitative hypotheses. More precisely, we focus on the problem of testing monotonicity of a regression function. Even if some res...
Testing equality of functions under monotonicity constraints
Testing equality of functions monotonicity constraints
2012/9/19
We consider the problem of testing equality of functionsf j: [0,1] →Rfor j =1,2,...,J the basis ofJindependent samples from possibly different distributions under the assumption that the functions are...
Strict Monotonicity and Convergence Rate of Titterington's Algorithm for Computing D-optimal Designs
D-optimality experimental design multiplicative algorithm
2010/3/9
We study a class of multiplicative algorithms introduced by Silvey et al. (1978) for com-
puting D-optimal designs. Strict monotonicity is established for a variant considered by
Titterington (1978)...
MONOTONICITY AND NON-MONOTONICITY OF DOMAINS OF STOCHASTIC INTEGRAL OPERATORS
Improper stochastic integral infinitely divisible distribution Levy process
2009/9/18
A Lkvy process on Rd with distribution p at time 1 is
denoted by X") = {xi'")]I.T the improper stochastic integral
f (s] d ~ : f io)f f with respect to Xtd is definable, its distribulion is
denote...
A Monotonicity Result for Hard-core and Widom-Rowlinson Models on Certain d-dimensional Lattices
Hard-core model Widom-Rowlinson model Gibbs measures monotonic phase transition site-random-cluster model
2009/4/29
For each $dgeq 2$, we give examples of $d$-dimensional periodic lattices on which the hard-core and Widom-Rowlinson models exhibit a phase transition which is monotonic, in the sense that there exists...