The notion of conformal measures or densities goes back to Patterson's work . By a theorem of Milnor and Thurston  a piecewise monotone and continuous map of the interval is semiconjugate to one with constant slopes. The semiconjugacies can be defined by distribution functions of conformal measures as shown in . In this note we show that for some transformations the conjugacies are estimable functions and can be used to improve estimation procedures, in particular density estimations.
|Original language||English (US)|
|Number of pages||14|
|Journal||Probability and Mathematical Statistics|
|State||Published - Aug 1 2011|
All Science Journal Classification (ASJC) codes
- Statistics and Probability