STAT444 Lecture 6: Lecture 6
Document Summary
Piecewise polynomials and splines for its continous polynomialfunction fg the simplestfarm piecewise linear g botkxth edick ia i broken stick model a. This is an example of the truncated powerseries we can easily generalize the model to accomodate. Many break pointsknots piecewise quadratic in p is. Most common used spline is the cubic spline which is piecewise cubic and continous in f f cx f t lt c t and tk ar. Let wher inferior knots c tr be k fixed andknown knots the boundary knots and ta ta are. The 1 x x is any cubic spline fcd potbx t bakt bi. Rot p xt bak t b r t racx tip t rslx tap. Check this is obviously true between knots pot piti t pat tp t te cti flti x l t it and j for. Mfi hd fled because lx ti 7 0 and lift cx t. de o. Lx ti5t o t itlooo. it if xs ei.
