Sequential Maximum Likelihood Estimation for the Hyperbolic Diffusion Process
Nenghui Kuang () and
Huantian Xie
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Nenghui Kuang: Hunan University of Science and Technology
Huantian Xie: Wuhan University
Methodology and Computing in Applied Probability, 2015, vol. 17, issue 2, 373-381
Abstract:
Abstract This paper investigates the properties of a sequential maximum likelihood estimator (SMLE) of the unknown parameter for the hyperbolic diffusion process. We derive the explicit formulas for the sequential estimator and its mean squared error (MSE). The estimator is proved to be closed, unbiased, normally distributed and strongly consistent. Finally a simulation study is presented to illustrate the efficiency of the estimator.
Keywords: Sequential maximum likelihood estimator; Hyperbolic diffusion process; Unbiasedness; Mean squared error; Efficiency; 60H10; 62F99 (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/s11009-013-9362-7
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