Density‐Valued ARMA Models by Spline Mixtures
ABSTRACT This paper proposes a novel framework for modeling time series of probability density functions by extending autoregressive moving average (ARMA) models to density‐valued data. The method is based on a transformation approach, wherein each density function on a compact domain [0,1]d$$ {\left[0,1\right]}^d $$ is approximated by a B‐spline ...
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This is an elementary survey of knot theory. It is a well developed, but there remain several notoriously intractable problems about knots and links, many of which are surprisingly easy to state. The aim is to highlight what we still do not understand, as well as to provide a brief survey of what is known.
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