UDC 621.382
PARAMETER ESTIMATION OF GAS DISCHARGE INDICATORS
IGNITION DELAY TIME DISTRIBUTION
A. N. Shesterkin, Dr. Sc. (Tech), full professor, Department of computing and applied mathematics, RSREU, Ryazan, Russia;
orcid.org/0000-0002-0633-0591, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
Methods to compute the estimates of mathematical expectation and time displacement of ignition delay
time when describing it by exponential distribution are considered. The aim of the work is to analyze methods
for calculating statistical estimates of ignition delay time. Classical methods of calculating exponential
distribution parameters – method of moments and maximum likelihood method- are analyzed. It is proposed
to censor measurement results (sampling) of delay time in conditions of strong ionization on the left and to
evaluate distribution parameters based on other, uncensored measurements. The article offers to calculate
average delay time based on right-censored sample while investigating delay time in the modes when statistical
delay time can be time-consuming. Various ways of estimating mathematical expectation of delay time
based on order statistics are analyzed. The possibility of approximate estimate of average value based on a
histogram is considered. The information about the devices implementing proposed methods of parameter
estimation is provided. The accuracy of considered methods of computing exponential distribution parameter
estimates is confirmed by statistical modeling.
Key words: discharge delay time, exponential distribution, distribution parameter estimation, sample
size, order statistics, parameter estimation devices.