Two simple time series questions:
1- I want a measure of a time series that describes how closely it 
resembles a given collection of time series.    Thus, the time series 
collection may be contained in column 2 to n of an Excel file, with 
each column containing one of the collection, with the time series to 
be measured in column 1.
2- Define a measure of a time series that measures how close it is to 
a smoothly rising (but not necessarily monotonically rising) 
series.   Thus using such a measure, one could rank a collection of 
time series so that those most smoothly rising and fastest rising 
rank highest/lowest using the measure.  Thus the time series to be 
measured may reside in column 1 of an Excel spread sheet, with the 
second column being the numbers 1, 2, 3, . . . etc.
The proximity of the given series to the collection or to "smooth 
rising" should be measured in some rms sense.   I realize that these 
requirements are not completely defined.   I'm looking for ideas.