TY - GEN

T1 - Mixture model of spline truncated and kernel in multivariable nonparametric regression

AU - Rismal,

AU - Budiantara, I. Nyoman

AU - Prastyo, Dedy Dwi

N1 - Publisher Copyright:
© 2016 Author(s).

PY - 2016/6/2

Y1 - 2016/6/2

N2 - Given the data (x1i, x2i,., xpi,t1i,t2i,.,tqi, yi) with predictors (xsi, tki) and response variables yi are assumed to follow unknown function such that their dependence can be approximated by a nonparametric regression model y=μ(x,t)+ϵ=Σi=1pfs(x)+Σk=1qgk(t)+ϵ. The component fs(x) is approximated by additive spline regression with p-(number of predictors whereas g(t) is approximated by kernel regression with q-number of predictors. The error ϵ is assumed normally distributed with mean zero and constant variance. The objective of this article is to provide the estimators of fs(x) and gk(t) as well as the mixture model μ(x,t) by means of Maximum Likelihood Estimation (MLE) method.

AB - Given the data (x1i, x2i,., xpi,t1i,t2i,.,tqi, yi) with predictors (xsi, tki) and response variables yi are assumed to follow unknown function such that their dependence can be approximated by a nonparametric regression model y=μ(x,t)+ϵ=Σi=1pfs(x)+Σk=1qgk(t)+ϵ. The component fs(x) is approximated by additive spline regression with p-(number of predictors whereas g(t) is approximated by kernel regression with q-number of predictors. The error ϵ is assumed normally distributed with mean zero and constant variance. The objective of this article is to provide the estimators of fs(x) and gk(t) as well as the mixture model μ(x,t) by means of Maximum Likelihood Estimation (MLE) method.

UR - http://www.scopus.com/inward/record.url?scp=84984550303&partnerID=8YFLogxK

U2 - 10.1063/1.4952565

DO - 10.1063/1.4952565

M3 - Conference contribution

AN - SCOPUS:84984550303

T3 - AIP Conference Proceedings

BT - Innovations Through Mathematical and Statistical Research

A2 - Ibrahim, Siti Nur Iqmal

A2 - Lee, Lai Soon

A2 - Rana, Md. Sohel

A2 - Lim, Fong Peng

A2 - Mohd Jaffar, Mai Zurwatul Ahlam

A2 - Mustafa, Mohd Shafie

A2 - Chen, Chuei Yee

PB - American Institute of Physics Inc.

T2 - 2nd International Conference on Mathematical Sciences and Statistics: Innovations Through Mathematical and Statistical Research, ICMSS 2016

Y2 - 26 January 2016 through 28 January 2016

ER -