Let H be an infinite-dimentional real separable Hilbert space. Given an unknown mapping M : H (arrow) H that can only be observed with noise, we consider two modified Robbins-Monro procedures to estimate the zero point (theta) (subscript 0) ? H of M. These procedures work in appropriate finite...

In this selective review, we first provide some empirical examples that motivate the usefulness of semi-nonparametric techniques in modelling economic and financial time series. We describe popular classes of semi-nonparametric dynamic models and some temporal dependence properties. We then...

We explore the extension of James-Stein type estimators in a direction that enables them topreserve their superiority when the sample size goes to infinity. Instead of shrinking a base estimatortowards a fixed point, we shrink it towards a data-dependent point. We provide an analytic expression...

Sharpe style regression has become a widespread analytic tool in the financial community. Thestyle regression allows one to investigate such interesting issues as style composition, style sensitivity, andstyle change over time. All previous methods to obtain the distribution and confidence...

Many economic and econometric applications require the integration of functions lacking a closed form antiderivative, which is therefore a task that can only be solved by numerical methods. We propose a new family of probability densities that can be used as substitutes and have the property of...

This paper proposes methods for estimation and inference in multivariate, multi-quantile models. The theory can simultaneously accommodate models with multiple random variables, multiple confidence levels, and multiple lags of the associated quantiles. The proposed framework can be conveniently...

This paper demonstrates the extensive scope of an alternative to standardinstrumental variables methods, namely covariate-based methods, for identifying and es-timating effects of interest in general structural systems. As we show, commonly usedeconometric methods, speci…cally parametric,...

We give two new approaches to testing a conditional form of exogeneity. This conditionensures unconfoundedness and identication of eects of interest in structural systems. Asthese approaches do not rely on the absence of causal eects of treatment under the null,they complement earlier methods of...

We provide nonparametric estimators of derivative ratio-based average marginal effects of an endogenous cause, X, on a response of interest, Y , for a system of recursive structural equations. The system need not exhibit linearity, separability, or monotonicity. Our estimators are local indirect...