Title :
QQ-plot based probability density function estimation
Author :
Djurovic, Z. ; Kovacevic, B. ; Barroso, Victor
Author_Institution :
Inst. de Sistemas e Robotica, Inst. Superior Tecnico, Lisbon, Portugal
Abstract :
We present a new algorithm for the estimation of probability density functions (PDF). This founds a large number of applications in the context of statistical signal processing problems, such as detection, estimation, filtering or pattern recognition and classification. Our approach relies on the QQ-plot technique. The estimates of the first and second order statistics of the observed random data are used together with a suboptimal piecewise linear approximation of the QQ-plot, yielding a new class of PDF estimator. We describe the algorithm and test it in comparison with other techniques, showing that our approach provides better results
Keywords :
approximation theory; filtering theory; parameter estimation; pattern classification; piecewise linear techniques; probability; signal classification; signal detection; signal sampling; PDF estimation; QQ-plot technique; filtering; first order statistics; pattern classification; pattern recognition; piecewise linear approximation; probability density function; random data; second order statistics; signal detection; statistical signal processing; suboptimal approximation; Filtering; Gaussian noise; Linear approximation; Noise measurement; Pattern recognition; Probability density function; Random variables; Signal processing algorithms; Statistical distributions; Yield estimation;
Conference_Titel :
Statistical Signal and Array Processing, 2000. Proceedings of the Tenth IEEE Workshop on
Conference_Location :
Pocono Manor, PA
Print_ISBN :
0-7803-5988-7
DOI :
10.1109/SSAP.2000.870120