Checking Serial Independence of Residuals from a Nonlinear Model

نویسندگان

  • Luca Bagnato
  • Antonio Punzo
چکیده

In this paper the serial independence tests SIS (Serial Independence Simultaneous) and SICS (Serial Independence Chi-Square) are considered. This tests, proposed by the same authors, are here contextualized in the model validation phase for nonlinear models in which the underlying assumption of serial independence is tested on the estimated residuals. Simulations are used to explore the performance of the tests, in terms of size and power, once a linear/nonlinear model is fitted on the raw data. Results underline that both the tests are powerful against various types of alternatives.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A Nonparametric Test of Serial Independence for Time Series and Residuals

Testing for independence is very important in statistical applications. These tests arise in many different settings, in particular when checking the dependence of p random variables, one usually carries out an independence test. Such a test is also required when verifying that consecutive observations of a time series are independent. Finally when checking the hypotheses of most linear models,...

متن کامل

Efficient Tests for Normality, Homoscedasticity and Serial Independence of Regression Residuals

‘Classical regression analysis’ assumes the normality (N), homoscedasticity (H) and serial independence (I) of regression residuals. Violation of the normality assumption may lead the investigator to inaccurate inferential statements. Recently, tests for normality have been derived for the case of homoscedastic serially independent (HZ) residuals [e.g., White and Macdonald (1980)]. Similarly, t...

متن کامل

A Nonparametric Distribution-Free Test for Serial Independence of Errors∗

In this paper, we propose a test for the serial independence of unobservable errors in locationscale models. We consider a Hoeffding-Blum-Kiefer-Rosenblat type empirical process applied to residuals, and show that under certain conditions it converges weakly to the same limit as the process based on true errors. We then consider a generalized spectral test applied to estimated residuals, and ge...

متن کامل

MCMC Sampling for a Multilevel Model With Nonindependent Residuals Within and Between Cluster Units

In this article, we discuss the effect of removing the independence assumptions between the residuals in two-level random effect models. We first consider removing the independence between the Level 2 residuals and instead assume that the vector of all residuals at the cluster level follows a general multivariate normal distribution. We demonstrate how this assumption can allow us to fit higher...

متن کامل

Determination of Stability Domains for Nonlinear Dynamical Systems Using the Weighted Residuals Method

Finding a suitable estimation of stability domain around stable equilibrium points is an important issue in the study of nonlinear dynamical systems. This paper intends to apply a set of analytical-numerical methods to estimate the region of attraction for autonomous nonlinear systems. In mechanical and structural engineering, autonomous systems could be found in large deformation problems or c...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2010