Goodness-of-fit testing the error distribution in multivariate indirect regression

نویسندگان
چکیده

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

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Goodness-of-fit tests for the error distribution in nonparametric regression

Suppose the random vector (X,Y ) satisfies the regression model Y = m(X) + σ(X)ε, where m(·) = E(Y |·), σ2(·) = Var(Y |·) and ε is independent of X. The covariate X is d-dimensional (d ≥ 1), the response Y is one-dimensional, and m and σ are unknown but smooth functions. In this paper we study goodness-of-fit tests for the parametric form of the error distribution under this model, without assu...

متن کامل

Adaptive goodness-of-fit testing from indirect observations

In a convolution model, we observe random variables whose distribution is the convolution of some unknown density f and some known noise density g. We assume that g is polynomially smooth. We provide goodness-of-fit testing procedures for the test H0 : f = f0, where the alternative H1 is expressed with respect to L2-norm (i.e. has the form ψ−2 n ‖f −f0‖2 ≥ C). Our procedure is adaptive with res...

متن کامل

On Multivariate Goodness–of–Fit and Two–Sample Testing

i=1 each of which is presumed to be randomly drawn independently from some probability distribution with density p(x). The goal is to test the hypothesis that p(x) = p0(x), where p0(x) is some specified reference probability density. Ideally, the test should have power against all alternatives. That is as the sample size N becomes arbitrarily large, N → ∞, the test will reject the hypothesis fo...

متن کامل

Assessment of Goodness of Fit Methods in Determining the Best Regional Probability Distribution of Rainfall Data

One of the most important problems in time series analysis of stream flow and rainfall data in an area is selecting the best probability distribution. Since the rainfall stations are associated and correlated with each other, so statistical analysis of the station data seamlessly are very important. Therefore, the first step in data analysis, is selecting the prevailing probability distribution...

متن کامل

On distribution-free goodness-of-fit testing of exponentiality

Local, or better, contiguous alternatives are the closest alternatives against which it is still possible to have some power. With this in mind we would like to think of goodness-of-fit tests as those which have some power against all, or a huge majority, of local alternatives. Tests of that kind are often based on nonlinear functionals, with a complicated asymptotic null distribution. Therefor...

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

ژورنال

عنوان ژورنال: Electronic Journal of Statistics

سال: 2019

ISSN: 1935-7524

DOI: 10.1214/19-ejs1591