Estimation techniques in non-stationary renewal processes

dc.contributor.advisorJohnson, Don H.en_US
dc.contributor.committeeMemberParks, Thomas W.en_US
dc.contributor.committeeMemberThompson, James R.en_US
dc.creatorSwami, Ananthramen_US
dc.date.accessioned2018-12-18T21:24:08Zen_US
dc.date.available2018-12-18T21:24:08Zen_US
dc.date.issued1980en_US
dc.description.abstractThe multiplicative intensity model for the intensity function u(t;N(t);w) = v(t)r(t - of a self-exciting point process is analyzed in terms of the distortion of v(t) by the channel r(x). A convenient and common method of presenting point process data, the Post Stimulus Histogram is shown to be related to the ensemble average of the intensity process and hence incorporates stimulus v() as well as refractory r() related effects. This quantity is not usually amenable to closed-form representation. We propose an approximation to the PST which is reasonably good under specified conditions. A maximum likelihood estimator of r(x), where v(t) is known, is derived. A maximum likelihood estimator of v(t), given r(x), is also derived. This estimator is meaningful only when the signal v(t) is known to be periodic. The M.L. Estimator compensates for relative dead-time effects. We propose an iterative dead-time processor, which operating on the histogram obtained from the M.L. Estimate, partially compensates for absolute dead-time effects. The performance of these estimators is compared with those of other procedures. Applications to spike trains recorded from auditory neurons are discussed.en_US
dc.format.digitalOriginreformatted digitalen_US
dc.format.extent110 ppen_US
dc.identifier.callnoTHESIS E.E. 1980 SWAMIen_US
dc.identifier.citationSwami, Ananthram. "Estimation techniques in non-stationary renewal processes." (1980) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/104494">https://hdl.handle.net/1911/104494</a>.en_US
dc.identifier.digitalRICE2129en_US
dc.identifier.urihttps://hdl.handle.net/1911/104494en_US
dc.language.isoengen_US
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.en_US
dc.titleEstimation techniques in non-stationary renewal processesen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentElectrical Engineeringen_US
thesis.degree.disciplineEngineeringen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelMastersen_US
thesis.degree.nameMaster of Scienceen_US
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