Multidimensional Single-Index Signal Regression

نویسنده

  • Brian D. Marx
چکیده

In general, linearity is assumed to hold in multivariate calibration (MVC), but this may not be true. We approach the MVC problem using multidimensional penalized signal regression, which can be extended with an explicit link function between linear prediction and response and in the spirit of single-index models. As the twodimensional surface of calibration coefficients is smoothly and generally estimated with tensor product P-splines, the unknown link function is estimated using univariate Psplines. The methods presented are grounded in penalized regression, where difference penalties are placed on the rows and columns of the tensor product coefficients, as well on the link function coefficients, each having their own tuning parameter. An application to ternary mixture data shows that a non-linearity is present. Performance comparisons are made to standard penalized signal regression, not only demonstrating the nonlinear effect, but also improvements in external prediction.

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

Investigating the Factors Affecting Multidimensional Poverty Using Linear Mixed Beta Regression Model

Multidimensional poverty is a complex issue that is affected by various factors. Therefore, accurate knowledge and its comprehensive definition are great important. The aim of this study was to investigate the effect of economic, social and institutional factors on multidimensional poverty based on a comprehensive measurement framework and using the beta linear mixed regression model, which is ...

متن کامل

Varying-coefficient single-index signal regression

Article history: Received 26 September 2014 Accepted 6 February 2015 Available online 28 February 2015

متن کامل

فقر چندبعدی زنان و مردان سرپرست خانوار در مناطق شهری و روستایی ایران با استفاده از روش آلکایر و فوستر

Introduction: Poverty reduction is one of the most important economic and social goals of politicians and programmers in different societies. Women are more exposed to  poverty and gender discrimination in comparison with men. This is because  women do not have necessary capabilities and facilities for empowerment and poverty reduction. Hence, for anti-poverty programs in the country, policymak...

متن کامل

Direct estimation of multidimensional perceptual distributions: assessing hue and form.

The procedures developed to assess the perceptual and decisional processes associated with detection in multidimensional space all require specialized statistical skills and analysis programs. The present article describes a regression model, designed to assess dimensional interactions, that is both computationally simpler and more accessible than those procedures. The papervalidates the regres...

متن کامل

فقر چندبعدی زنان و مردان سرپرست خانوار در مناطق شهری و روستایی ایران با استفاده از روش آلکایر و فوستر

Introduction: Poverty reduction is one of the most important economic and social goals of politicians and programmers in different societies. Women are more exposed to  poverty and gender discrimination in comparison with men. This is because  women do not have necessary capabilities and facilities for empowerment and poverty reduction. Hence, for anti-poverty programs in the country, policymak...

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 2011