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Abstract:
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The recently developed photon-by-photon approach (Yang and Xie 2002) for single molecule fluorescence experiments allows measurements of conformational fluctuation with high time resolution on a broad range of time scales. In this method, each photon arrival time is a data point. Of particular interest is the estimation of the autocorrelations of photon arrival rates, which provides crucial insights into the molecular structure and reaction dynamics, and in turn can be used to test models. Complementary to the parametric inference (Kou, Xie and Liu, 2005), in this paper we will introduce a nonparametric kernel based method to estimate the autocorrelation function. In addition to discuss the theoretical properties of our method, we will illustrate it through simulation examples, and apply it to analyze experimental data on protein conformation fluctuations.
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