Estimations and Optimal Tests in Some Parametric Models

Topic 3: Tests in Parametric Models

on some bayesian statistical models in actuarial science with emphasis on claim count

چکیده ندارد.

Conditional Moment Tests for Parametric Duration Models

This paper develops and compares specification tests for parametric duration models estimated with censored data. The tests are based on generalized residuals (the integrated hazard), which is exponentially distributed if the model is correctly specified. I present several conditional moment tests based on the generalized residuals: a raw moments test, a test based on Laguerre polynomials, and ...

Asymptotically Optimal Regularization in Smooth Parametric Models

Many types of regularization schemes have been employed in statistical learning, each motivated by some assumption about the problem domain. In this paper, we present a unified asymptotic analysis of smooth regularizers, which allows us to see how the validity of these assumptions impacts the success of a particular regularizer. In addition, our analysis motivates an algorithm for optimizing re...

Optimal Significance Tests in Simultaneous Equation Models∗

Consider testing the null hypothesis that a single structural equation has specified coefficients. The alternative hypothesis is that the relevant part of the reduced form matrix has proper rank, that is, that the equation is identified. The usual linear model with normal disturbances is invariant with respect to linear transformations of the endogenous and of the exogenous variables. When the ...